Metal-Insulator Phase Transition in Quasi-One-Dimensional VO 2 Structures

The metal-insulator transition (MIT) in strongly correlated oxides has attracted considerable attention from both theoretical and experimental researchers. Among the strongly correlated oxides, vanadium dioxide (VO 2 ) has been extensively studied in the last decade because of a sharp, reversible change in its optical, electrical, and magnetic properties at approximately 341 K, which would be possible and promising to develop functional devices with advanced technology by utilizing MITs. However, taking the step towards successful commercialization requires the comprehensive understanding of MIT mechanisms, enabling us to manipulate the nature of transitions. In this regard, recently, quasi-one-dimensional (quasi-1D) VO 2 structures have been intensively investigated due to their attractive geometry and unique physical properties to observe new aspects of transitions compared with their bulk counterparts.Thus, in this review, we will address recent research progress in the development of various approaches for the modification of MITs in quasi-1D VO 2 structures. Furthermore, we will review recent studies on realizing novel functional devices based on quasi-1D VO 2 structures for a wide range of applications, such as a gas sensor, a flexible strain sensor, an electrical switch, a thermal memory, and a nonvolatile electrical memory with multiple resistance.


Introduction
Strongly correlated oxide materials undergoing reversible transitions between metallic and insulating states have been gaining interest because of their unique physical properties coupled with various phase transitions as well as their potential for application in electronic devices, thermochromic devices, optical and holographic devices, sensors, actuators, and power meter or thermometer .However, in spite of the attractive features of strongly correlated systems associated with metal-insulator transitions (MITs), it has been difficult to move forward towards commercially viable industrial applications.These problems have been mainly associated with the lack of not only comprehensive and fundamental understandings of underlying physics accounting for the precise transition mechanism but also appropriate materials and technology.Therefore, recent research has been focused on MITs in single-domain nanostructures due to their unique geometry and favorable domain size, providing a simple and homogeneous system to explore the intrinsic property of individual phases or single-domain phenomena, which are obscured in bulk samples.
Among the strongly correlated materials, vanadium dioxide (VO 2 ) is the most interesting because of its first-order MIT near easily accessible temperature (approximately 341 K) that is accompanied by a structural phase transition (SPT) from a low-temperature monoclinic phase (M1, P2 1 /c) to a high-temperature rutile phase (R, P4 2 /mnm) [3,4,21].Although there have been continued debates on whether the MIT in VO 2 is usually driven by strong electron-electron correlations associated with the Mott transition or electronphonon interactions associated with the Peierls transition, VO 2 has attracted significant attention as a potential candidate for electronic and photonic devices based on MITs because of its tunable electrical and optical switching features at ultrafast time scale .In particular, quasi-onedimensional (quasi-1D) VO 2 structures can provide new opportunities to explore, understand, and ultimately engineer

Crystal and Molecular Orbital
Structures of VO 2 VO 2 exhibits at least four different phases: the monoclinic M1, triclinic T, monoclinic M2, and rutile R phases.The electronic metal-insulator phase transition in VO 2 is coupled with a SPT from a high-temperature metallic rutile (R) phase (P4 2 /mnm space group) to a low-temperature insulating monoclinic (M1) phase (P2 1 /c space group) at a temperature of approximately 341 K (Figure 1) [3,4,22,23].All V atoms are equally spaced along linear chains of VO 6 octahedra parallel to the crystallographic -axis ( R ) with V-V distances of 2.86 Å in the R phase, as shown in Figure 1(a).During the MIT from a metallic R phase to an insulating M1 phase, two distinctive sets of V-V bond distances are observed at 2.65 and 3.12 Å for the monoclinic M1 phase due to the pairing and tilting of VO 6 octahedra with respect to the rutile axis,  R (Figure 1(a)) [22,23].Another monoclinic phase (M2, C2/m space group) has two types of V chains consisting of equal-spaced tilted V chains and paired V chains.Recently, M2 phases in VO 2 micro/nanocrystals were reported to exist in the M1 and the R phase through stabilization by tensile stresses resulting from VO 2 crystals bent or clamped to the substrate as well as stoichiometric defects due to the variation of lattice constants [38,39,[45][46][47].The insulating character of the metastable M2 phase has been described as a Mott insulator driven by electron-electron correlation [3,4,21].The T phase is a transitional phase between the M1 and M2 phases [3,21,39].The SPT in VO 2 is accompanied by a change of the electronic structures in the metallic and insulating states which was described in terms of molecular orbital theory [22,23,48,49].In the high-temperature metallic state (as shown schematically in the left side of Figure 1(b)), the density of states at   is formed from a mixture of the half-filled ‖ band oriented along the  R and antibonding  * band.Across the MIT, the dimerization of the V ions along the  R and the tilting of the VO 6 octahedra splits the ‖ bands that mediate V-V bonds into a bonding (‖) combination and an antibonding (‖ * and  * ) combination.This results in the orbital polarization with the bonding ‖ band being fully occupied and the ‖ * and  * being empty.

Growth of Quasi-1D VO 2 Structures
In recent years, considerable efforts have been made to grow single-crystalline VO 2 nanobeams or nanowires using a vapor phase transport method because of difficulties of growth associated with the presence of various competing vanadium oxide phases [24][25][26][27][28][29].It has been reported that the growth characteristics, morphology and composition features, and density of VO 2 nanostructures are significantly affected by growth parameters such as temperature, gas flow rate, oxygen partial pressure, precursor deposition rate, and crystallographic plane of growth substrates [24][25][26][27][28][29].To explain this phenomenon, Kim et al. [24] reported that liquid droplets of V 2 O 5 nucleate initially and then these droplets may become nucleation sites for the growth of VO 2 nanowires.Strelcov et al. [25] conducted direct in situ optical and photoelectron emission microscopy observations of the nucleation and growth of VO 2 nanostructures using thermal transport of V 2 O 5 precursor in a vacuum or in an inert gas environment.They observed the coexistence and transformation of the intermediate oxide phases and morphologies during nanostructure reductive growth, as shown in Figure 2(a).In Figure 2(a), the temperature-composition phase diagram shows that vanadium oxides can have a variety of stoichiometries due to multiple oxidation states of vanadium in which the stoichiometries are mutually transformable at specific temperatures and oxygen partial pressures.Kim and Lauhon [26] also studied controlled morphology, density, and site-specificity of VO 2 nanobeams using a two-step vapor transport method.As seen in Figure 2(b), they observed three distinctive morphologies of VO 2 nanostructures, such as nanoparticles, nanowires, and nanosheets, depending on local source supersaturation and temperature.In addition, as shown in Figures 2(c)-2(f), some previous studies have also shown that VO 2 nanowires can form on various substrate surfaces and display either in-plane or out-of-plane growth, depending on the crystallographic orientation and lattice mismatch of growth substrates as well as the temperature of the reactor [27][28][29].

Stimuli Effects on MITs in
Quasi-1D VO 2 Structures Figure 1: (a) The crystal structures of the high-temperature tetragonal rutile (R, space group P4 2 /mnm) and low-temperature monoclinic (M1, space group P2 1 /c) phases of VO 2 , with the equivalent direction of  M1 = 2 R .V-V distances are highlighted: the R phase with regular VO 6 octahedron exhibits uniform V-V distances of 2.86 Å and the M1 phase with distorted VO 6 octahedron exhibits alternating V-V distances of 2.65 and 3.12 Å.(b) A schematic diagram of the molecular orbital structures of the M1 and R phases of VO 2 (left side: the undistorted metallic phase of VO 2 , right side: the distorted insulating phase of VO 2 ).Panels (a) and (b) adapted with permission from [23] and [22], respectively.Liq.+ (2) (5) (8) (9) (10) (11) (12) x in VO x showing the morphology of a VO 2 nanowire with well-defined surfaces at both a tip and a side.Panels (a-f) adapted with permission from [25][26][27][28][29], respectively.and (c-d) adapted with permission from [30] and [31], respectively.
Figures 3(a) and 3(b) show that the doping of metal ions has a profound influence on the phase transition behavior and transition temperatures of VO 2 .It has been reported that the substitution of V 4+ ions with metal-ion dopants of higher oxidation states, such as W 6+ , Nb 5+ , and Mo 6+ , lowers the transition temperature ( MIT ), which is identical to reduction of the V 4+ ions.In contrast, metal-ion dopants of lower oxidation states, such as Cr 3+ , Al 3+ , Fe 3+ , and Ga 3+ , stabilize the M2 and T phases of VO 2 at room temperature [30], which is identical to oxidation of the V 4+ ions.A schematic diagram (Figure 3(a)) shows mutual transformations of VO 2 phases as a function of reduction and oxidation induced by metalion dopants.Furthermore, Strelcov et al. [30] have recently demonstrated a practical synthesis procedure for stabilization of the M2 phase at ambient conditions via doping metal ions, which can open a way for realization of a purely electronic Mott transition field-effect transistor without an accompanying structural transition.As shown in Figure 3(b), the authors also produced high-quality uniformly doped single-crystalline structure and demonstrated a temperaturedoping level phase diagram in the temperature range close to the ambient conditions by doping aluminum (Al) into VO 2 nanostructures during the growth in which the doping level was varied from zero to  = 0.025.In addition, Lee et al. [31] also demonstrated the axially graded-tungsten-(W-) doped VO 2 nanowires and measured resistance (R)temperature (T) curves of the graded-W-doped and undoped VO 2 nanowires, as shown in Figure 3(c).The undoped VO 2 nanowire shows an abrupt resistance change at 67 ∘ C, whereas resistance of the graded-W-doped VO 2 nanowire decreases gradually from room temperature to 60 ∘ C without the abrupt resistance change.As shown in Figure 3(d), with the increase in temperature, the metallic phase grows out of the two ends of the W-doped nanowire, followed by a progressive invasion into the insulating phase toward the middle of the W-doped nanowire, and the W-doped nanowire entirely turns into a single metallic phase at 55-60 ∘ C compared with the undoped VO 2 nanowire.
Although the doping of metal ions into vanadium oxides is usually regarded as the effective way to control the electron concentration, this process is not reversible.Recently, Wei et al. [32] demonstrated that hydrogen doping into VO 2 is completely reversible process and that the MIT in VO 2 nanostructures can be strongly modified by doping with atomic hydrogen using the catalytic spillover method, which results in the electronic phase transition (i.e., the Mott transition).The authors also demonstrated that the MIT accompanied by a structural phase transition could be reversibly modified by hydrogen doping using a catalytic spillover method [32].Figures 4(a) and 4(b) show electrical resistivities and structural phases before and after the hydrogen doping of VO 2 microcrystals.In Figure 4(a), the twoterminal device made from an as-grown VO 2 microcrystal shows thermally activated conduction exhibiting an energy gap close to 0.6 eV (black curve).The two-terminal device that baked in flushing hydrogen gas at 150 ∘ C for 20 min shows an energy gap close to 0.2 eV (green curve).The energy gap of the device after further baking at 180 ∘ C for 20 min (red curve) is nearly zero.The device after annealing at 190 ∘ C for 20 min eventually stabilized in the metallic state with a characteristic negative slope (purple curve).The two-terminal device that was annealed in air at 250 ∘ C for 20 min recovered the original phase transition and temperature dependence (blue curve).As shown in the SEM images of Figure 4(b), the VO 2 nanobeam becomes straight after hydrogen doping to the fully metallic state, indicating that the fully hydrogen-doped nanobeam has a shorter lattice constant than a monoclinic asgrown VO 2 microcrystal.This is also well supported by the optical microscopy images of a VO 2 microcrystal before and after hydrogen doping.

Influence of Surface Stress on MIT.
The surface stress, affecting the lattice structure and relative stability of competing phases, plays an important role in determining the phase state of VO 2 micro/nanostructures [33][34][35]50].In particular, the surface stresses associated with the interaction between a nanobeam and a substrate for VO 2 nanobeams with and without epitaxial interfaces significantly affect the MIT behavior in VO 2 nanobeams, the spontaneous formation of metal-insulator domains, and the spatial phase transitions as well as the formation and stabilization of an M2 phase.For example, as shown in Figure 5(a), VO 2 nanobeams lying on a SiO 2 substrate (referred to as on-substrate VO 2 nanobeams) without metal contacts exhibit the spontaneous formation of alternating metal-insulator domains along the nanobeam length, resulting from an adhesive interaction between the nanobeam and the substrate leading to a coherent uniaxial strain on the nanobeam [33].Figure 5(b) shows that the electrical resistance of devices made from the on-substrate VO 2 nanobeams changes in many discrete steps over a much wider temperature range during the heating and cooling cycles [33].
Sohn et al. [34] demonstrated how the epitaxial interface stress affects the phase transition behavior in VO 2 nanobeams epitaxially grown on c-cut sapphire.Figure 6(a) shows the temperature-dependent evolution of X-ray diffraction (XRD) spectra related to the (011)M1 and (020)M1 planes.Contour plots exhibit coexisting characteristics within the temperature region of 54-64 ∘ C and 68-80 ∘ C for corresponding (011)M1 and (020)M1 planes (marked by yellow dotted lines), respectively.In particular, in Figure 6(a), the peak corresponding to the (201) plane of M2 is broader than that expected at low temperature and its peak position shifts slightly upward compared to the value of an M2 phase in VO 2 nanobeams without the epitaxial interface.A SPT in the (011) plane occurs from 54 ∘ C, whereas a peak of the (020) plane splits into two peaks of (200)R and (002)M2 planes corresponding to the (020) plane of an M1 phase from 68 ∘ C, indicating the coexistence of M2 and R phases.Figure 6(b) shows temperature-dependent Raman and XRD spectra for VO 2 nanobeams [35].The temperature-dependent Raman spectra, which are obtained from the straight part (marked by A in the upper inset) and bent part (marked by B in the lower inset) of a bent VO 2 nanobeam on a c-cut sapphire substrate, demonstrate the stress-induced structural transitions and the coexistence of three distinct M1, M2, and R phases.The evolution of Raman spectra of the straight region of a nanobeam (A) exhibits direct structural changes from M1 to M2 phases, whereas those of the bent part of a nanobeam (B) display coexistence of both M1 and M2 phases with increasing temperature and peaks associated with only M1 and M2 phases are observed even at room temperature.The XRD spectra from ensembles of epitaxially grown VO 2 nanobeams were obtained at the temperature range of 6-303 K during the cooling process.At 303 K, peaks of (011)M1 and corresponding (201)M2 planes coexist and the coexisting region exists down to 50 K through the direct transformation of the remaining M2 phase to an M1 phase.

Influence of External Stress on MIT.
The control of the domain structure and phase transitions through external stress in VO 2 could lead not only to deeply understanding the correlated electron materials but also to providing a novel way to control their electrical and optical properties  for device applications.Recently, the phase transitions and domain dynamics between metallic and insulating phases in single-crystalline qausi-1D VO 2 beams have been explored by introducing the external stress [3,36,37,41,42,51].For example, Cao et al. [36] demonstrated that periodic domains of metallic and insulating phases along single-crystal VO 2 microbeams were nucleated and manipulated by tuning the strain over a wide range of values, as shown in Figure 7.
Figure 7(a) shows the evolution of domains of triangular shape along a bent VO 2 microbeam at different temperatures.
The bent microbeam was in an insulating phase at room temperature and periodic triangular domains of the metallic phase started to nucleate at the inner edge of the bent region (compressive strain) at elevated temperatures.At a temperature near 341 K, the straight part of the microbeam transformed abruptly to the metallic phase, whereas the bent  part of the microbeam showed a coexistence of domains of the metallic and insulating phases.The uniaxial stress ()temperature (T) phase diagram in Figure 7(b) shows the fraction of the metallic and insulating phases as a function of temperature (-axis) and uniaxial stress (left -axis) or strain (right -axis).In the diagram, the VO 2 phase is a pure metallic phase (metallic phase fraction  = 1) at high temperatures and high compressive stresses and a pure insulating phase ( = 0) at low temperatures and high tensile stresses.At intermediate temperatures and stresses, metallic and insulating phases coexisted.Figure 7(c) also shows how the metallic phase fraction () changed with external compressive stress along the length of a VO 2 microbeam clamped onto a soft substrate.The uniaxial compression reversibly induces a phase transition between metal ( = 1) and insulator ( = 0) at room temperature in the clamped VO 2 microbeams.The microbeam can be self-heated into the metallic phase when the applied bias voltage exceeded a threshold transition voltage and the operation power of the self-heated VO 2 microbeam can be drastically reduced under the uniaxial compression at room temperature.To investigate the influence of external stress on crystallographic phase transition behavior in VO 2 microcrystals, Atkin et al. [37] employed Raman spectroscopy, which is a facile, rapid, and nondestructive tool for studying the phase transition properties of individual nano/microstructures.The authors demonstrated that, with increasing tensile strain, an M1-T-M2 structural phase transition occurs at temperatures below approximately 305 K over a wide range of strain values in an individual, homogeneous VO 2 microbeam subjected to external uniaxial strain, as shown in Figures 8(a) and 8(b).Figure 8(a) shows Raman spectra of a VO 2 microcrystal showing the evolution in phonon modes with increasing tensile strain at room temperature.From these Raman spectra, a Raman frequency map is presented based on the spectral position of  0 as a fingerprint for the three different phases (M1, T, and M2 phases) (Figure 8(b)).

Influence of Stoichiometry and/or Defects on MIT.
The MIT properties of VO 2 are significantly affected by stoichiometry and/or defects due to the fact that vanadium can exist in multiple valence states such as V 3+ , V 4+ , and V 5+ [38,39,[52][53][54][55].Recently, Zhang and coworkers [38] investigated the influence of stoichiometry on the structural phase transition in suspended single-crystalline VO 2 nanobeams and established a pseudo-T- phase diagram with dimensions of temperature and stoichiometry, as shown in Figure 9(a).The authors also demonstrated that the annealing of nanobeams under vacuum conditions stabilized the rutile phase to temperatures as low as 103 K due to the fact that oxygen deficiency contributed to the enhancement of conductivity, providing direct evidence of substantial electron doping in VO 2 nanobeams (Figure 9(b)).Most recently, Hong et al.
[39] demonstrated a morphotropic phase transformation, which is the phase transition due to the compositional variation, in single-crystalline VO 2 nanobeams caused by thermal reduction in a high-pressure hydrogen gas, leading to the stabilization of metallic phases.The authors showed that hydrogen significantly reduced oxygen in the nanobeams with characteristic nonlinear reduction kinetics which depend on the annealing time [39].Figures 9(c) and 9(d) show that the work function and the electrical resistance of the reduced VO 2 nanobeams follow a similar trend to the compositional variation due to the oxygen deficiency and related defects.These results imply that the structural properties and the electrical resistivity of VO 2 nanobeams are closely correlated with the compositional stoichiometry and/or defects in the nanobeam.

Applications
VO 2 has attracted considerable attention because of a variety of potential applications based on abrupt reversible phase transitions at ultrafast timescales in which the phase transition can be triggered by external perturbations, such as thermal, electrical, or optical perturbations as well as strain [1].Recently, several efforts have been devoted to the demonstration of potential devices utilizing MITs in VO 2 nanostructures, such as gas sensors, strain sensors, electrical switches, a thermal memory, and electrical memory devices [40-44, 56, 57].
For example, Strelcov et al. [40] demonstrated a novel gas sensing concept based on suspended VO 2 nanowires, as shown in Figure 10(a), in which the transition properties of nanowires strongly depend on the changes in molecular The inset shows statistical data of the electrical resistance at room temperature for as-grown VO 2 and reduced VO 2 nanobeams for 1, 5, and 30 min at approximately 400 ∘ C under the exposure to hydrogen gas.Panels (a-b) and (c-d) adapted with permission from [38] and [39], respectively.composition, pressure, and temperature of the ambient gas environment.Hu et al. [41] fabricated a flexible strain sensor and a single domain electrical switch based on a VO 2 nanobeam.Figure 10(b) shows the change of the current (I)voltage (V) behavior solely dependent on the loading strains (compressive and tensile strains) in which the different types of strain lead to the distinct response from the phase transition between M1 and M2 phases.Hu et al. [42] also showed that the self-heated VO 2 nanobeam under the application of a bias voltage that exceeds a threshold transition voltage can be easily switched based on a single domain transition by stretching or compressing the substrate.Figure 10(c) shows a single domain switch based on phase transitions induced by the coupling of self-heating and external strain in a VO 2 nanobeam.
In addition to the sensor and switching device applications, Xie et al. [43] demonstrated a solid-state thermal memory that can store and retain thermal information with high/low (HI/LO) temperature states, as shown in Figure 11(a).In Figure 11(a), HI/LO temperature states of repeated Write HI-Read-Write LO-Read cycles using heating and cooling pulses show the switching performance and repeatability of the thermal memory.Bae et al. [44] also reported a two-terminal memory device based on single VO 2 nanowires that were synthesized by a hydrothermal method, followed by thermal annealing process to form a monoclinic phase (Figure 11(b)).As shown in Figure 11(b), the MIT induced by the Joule heating and the hysteresis behavior leads to the nonlinear R-V characteristic and eventually enables the switchable resistance to be maintained, resulting from  [40,41] and [42], respectively.the mixed states of metallic and insulating phases during the MIT of the single VO 2 nanowire.The multiple retainable resistances of the single VO 2 nanowire when two different voltage pulses are applied repeatedly show the possibility of nonvolatile memory device utilizing a MIT behavior.

Summary
In this review, we first present the basic crystal and molecular orbital structures of VO 2 in metallic and insulating phases and then discuss the growth characteristics of singlecrystalline quasi-1D VO 2 structures in terms of their morphology, composition, and density, which can be significantly affected by growth conditions such as temperature, gas flow rate, oxygen partial pressure, precursor deposition rate, and crystallographic plane of growth substrates.Next, we discuss the influence of doping, surface stress, external stress, and stoichiometry and/or defects on various aspects of phase transitions in the quasi-1D VO 2 structures.Lastly, we present snapshots of the research carried out emerging applications of quasi-1D VO 2 structures such as a gas sensor, a flexible strain sensor, an electrical switch, a thermal memory, and a nonvolatile electrical memory.We expect that this review will give insights not only into understanding the basic important aspects of mechanism and properties of quasi-1D VO 2 materials but also into developing practical applications for successful commercialization based on MIT technology.

Figure 2 :
Figure 2: (a) Temperature-composition phase diagram.(b) Schematic of the tube furnace reactor.Temperature of the reactor is illustrated by red (hot) and blue (cold) colors.Representative morphologies of the growth product observed in accordance with source vapor pressure include nanosheets (left), nanowires (middle), and nanoparticles (right).SEM images of VO 2 nanowires as grown on (c) Si 3 N 4 , (d) quartz, and (e) c-cut sapphire and r-cut sapphire substrates.The inset in (c) shows SEM image showing the cross sections of three VO 2 nanowires embedded in a Si 3 N 4 surface.The inset in (d) shows AFM image of VO 2 nanowires.The inset in (f) shows a high-magnification SEM image, showing the morphology of a VO 2 nanowire with well-defined surfaces at both a tip and a side.Panels (a-f) adapted with permission from [25-29], respectively.

Figure 3 :
Figure 3: (a) Schematics of temperature-composition phase diagram.(b) Experimental temperature-composition phase diagram for freestanding Al-doped VO 2 nanostructures.(c) Temperature dependence of resistance of a W-doped nanobeam and an undoped VO 2 nanobeam.The inset shows a SEM image of a VO 2 nanobeam on suspended pads.(d) Optical images of the W-doped VO 2 nanobeam device (upper panel) and the undoped VO 2 nanobeam device (lower panel) at various temperatures during heating.The metallic and insulating phases are denoted as M and I, respectively.Panels (a-b)and (c-d) adapted with permission from[30] and[31], respectively.

Figure 4 :
Figure 4: (a) Conductivity versus temperature (T) for a suspended VO 2 nanobeam device.(b) SEM images showing suspended VO 2 nanobeam devices before and after hydrogen.Optical images of VO 2 microcrystals with thicknesses of ∼300 nm on a silicon oxide substrate taken at 30 ∘ C (lower left panel) and 135 ∘ C (lower middle panel) and at 30 ∘ C (lower right panel) after hydrogen doping.The brighter region is a 20 nm gold film deposited to cover parts of the crystals.The scale bar in the lower right panel of (b) applies to all three images.Panels (a) and (b) adapted with permission from [32].

Figure 5 :
Figure 5: (a) Bright (upper left) and dark (upper right) field optical images of VO 2 nanobeams grown on a SiO 2 surface at T = 100 ∘ C during cooling in air.The schematic diagram shows the periodic domain pattern of a VO 2 nanobeam strained on the SiO 2 substrate.Blue and red colors correspond to tensile and compressive strains, respectively."M" denotes metallic phase, and the unlabeled intervening regions are insulating phase.(b) Resistance of an on-substrate VO 2 nanobeam as a function of temperature during a heating cycle (red curve) and a cooling cycle (blue curve).The inset shows a SEM image of the on-substrate VO 2 nanobeam device.Panels (a) and (b) adapted with permission from [33].

Figure 6 :Figure 7 :
Figure 6: (a) Temperature dependence of XRD data measured upon heating from VO 2 nanobeams epitaxially grown on a c-cut sapphire.(b) Temperature-dependent Raman spectra obtained from a bent VO 2 nanobeam on a c-cut sapphire substrate (left panel).Temperature dependence of XRD data from ensembles of the VO 2 nanobeams, measured during a cooling cycle from 303 to 6 K (right panel).Panels (a) and (b) adapted with permission from[34] and[35], respectively.

Figure 8 :
Figure 8: (a) Raman spectra of a VO 2 microcrystal showing the tensile strain-dependent evolution of structural phase transitions at room temperature.(b) A Raman frequency map of strain-temperature phase diagram of the insulating phases of the VO 2 microcrystal represented via the  0 phonon frequency shift.Panels (a) and (b) adapted with permission from [37].

Figure 9 :
Figure 9: (a) Structural phase maps (temperature versus annealing time).The shaded background demarcates a pseudo-T- phase diagram for VO 2− .Confocal reflectivity at a 532 nm laser source.The brighter (darker) regions correspond to the insulating (metallic) phase (upper image).(b) Resistance versus temperature for as-grown (red) and reduced (green) nanobeams.(c) Change in vanadium (V)/oxygen (O) compositional ratio as a function of reduction time and their corresponding work functions extracted from ultraviolet photoemission spectroscopy measurements.(d) Electrical resistance as a function of the reduction time for the as-grown and reduced VO 2 nanobeams.The inset shows statistical data of the electrical resistance at room temperature for as-grown VO 2 and reduced VO 2 nanobeams for 1, 5, and 30 min at approximately 400 ∘ C under the exposure to hydrogen gas.Panels (a-b) and (c-d) adapted with permission from[38] and[39], respectively.

Figure 10 :
Figure 10: Representative devices utilizing MIT in quasi-1D VO 2 nanostructures.(a) The design and principle of operation of VO 2 nanowire MIT gas sensor (left panel). G and  L indicate heat fluxes dissipating into the gas environment and metal contacts, respectively.Current (I)-bias voltage (V) curves of a self-heated nanowire at different gas pressures showing transition voltages (forward direction) (right panel).(b) I-V curves under different tensile and compressive strains (left panel) and their corresponding response to the strain switch (right panel).(c) Schematic illustration of two-terminal nanobeam device placed on Kapton (left panel).Electrical switch with the strain change based on single domain at DC voltage of 9.5 V (right panel).Panels (a), (b), and (c) adapted with permission from[40,41] and[42], respectively.