- Open Access
Effects of strain on the stability of the metallic rutile and insulating M1 phases of vanadium dioxide
Phys. Rev. Research 8, 023003 – Published 1 April, 2026
DOI: https://doi.org/10.1103/rhdm-rdgd
Abstract
We present a systematic density-functional theory study of the effects of strain on the structural and electronic properties in vanadium dioxide (), with particular emphasis on its effect on the relative stability of the metallic rutile and the insulating monoclinic M1 phases. We consider various strain conditions that can be related to epitaxial strain present in films grown on different lattice planes. Our calculations confirm the dominant role of -axis strain, i.e., along the direction of the V-V dimerization in the M1 phase. Our analysis suggests that this effect stems primarily from the weakening of the lattice stiffness, with the hopping amplitude along the axis playing a minor role. We also confirm that, in strain scenarios that deform the basal plane, the -axis strain still has a dominant effect on the phase stability.
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References (53)
- Z. Yang, C. Ko, and S. Ramanathan, Oxide electronics utilizing ultrafast metal-insulator transitions, Annu. Rev. Mater. Res. 41, 337 (2011).
- K. Liu, S. Lee, S. Yang, O. Delaire, and J. Wu, Recent progresses on physics and applications of vanadium dioxide, Mater. Today 21, 875 (2018).
- R. Shi, N. Shen, J. Wang, W. Wang, A. Amini, N. Wang, and C. Cheng, Recent advances in fabrication strategies, phase transition modulation, and advanced applications of vanadium dioxide, Appl. Phys. Rev. 6, 011312 (2019).
- Y. Xue and S. Yin, Element doping: A marvelous strategy for pioneering the smart applications of , Nanoscale 14, 11054 (2022).
- J. Cao, Y. Gu, W. Fan, L. Q. Chen, D. F. Ogletree, K. Chen, N. Tamura, M. Kunz, C. Barrett, J. Seidel, and J. Wu, Extended mapping and exploration of the vanadium dioxide stress-temperature phase diagram, Nano Lett. 10, 2667 (2010).
- J. M. Atkin, S. Berweger, E. K. Chavez, M. B. Raschke, J. Cao, W. Fan, and J. Wu, Strain and temperature dependence of the insulating phases of near the metal-insulator transition, Phys. Rev. B 85, 020101(R) (2012).
- Z. Shao, X. Cao, H. Luo, and P. Jin, Recent progress in the phase-transition mechanism and modulation of vanadium dioxide materials, NPG Asia Mater. 10, 581 (2018).
- V. Eyert, The metal-insulator transitions of : A band theoretical approach, Ann. Phys. 514, 650 (2002).
- J. B. Goodenough, The two components of the crystallographic transition in , J. Solid State Chem. 3, 490 (1971).
- J. P. Pouget, H. Launois, J. P. D’Haenens, P. Merenda, and T. M. Rice, Electron localization induced by uniaxial stress in pure , Phys. Rev. Lett. 35, 873 (1975).
- A. Zylbersztejn and N. F. Mott, Metal-insulator transition in vanadium dioxide, Phys. Rev. B 11, 4383 (1975).
- R. M. Wentzcovitch, W. W. Schulz, and P. B. Allen, : Peierls or Mott-Hubbard? A view from band theory, Phys. Rev. Lett. 72, 3389 (1994).
- T. M. Rice, H. Launois, and J. P. Pouget, Comment on “: Peierls or Mott-Hubbard? A view from band theory”, Phys. Rev. Lett. 73, 3042 (1994).
- S. Biermann, A. Poteryaev, A. I. Lichtenstein, and A. Georges, Dynamical singlets and correlation-assisted Peierls transition in , Phys. Rev. Lett. 94, 026404 (2005).
- C. Weber, D. D. O’Regan, N. D. M. Hine, M. C. Payne, G. Kotliar, and P. B. Littlewood, Vanadium dioxide: A Peierls-Mott insulator stable against disorder, Phys. Rev. Lett. 108, 256402 (2012).
- W. H. Brito, M. C. O. Aguiar, K. Haule, and G. Kotliar, Metal-insulator transition in : A DFT + DMFT perspective, Phys. Rev. Lett. 117, 056402 (2016).
- Y. Chen, S. Zhang, F. Ke, C. Ko, S. Lee, K. Liu, B. Chen, J. W. Ager, R. Jeanloz, V. Eyert, and J. Wu, Pressure–temperature phase diagram of vanadium dioxide, Nano Lett. 17, 2512 (2017).
- Y. A. Birkhölzer, K. Sotthewes, N. Gauquelin, L. Riekehr, D. Jannis, E. van der Minne, Y. Bu, J. Verbeeck, H. J. W. Zandvliet, G. Koster, and G. Rijnders, High-strain-induced local modification of the electronic properties of thin films, ACS Appl. Electron. Mater. 4, 6020 (2022).
- S. Zhang, J. Y. Chou, and L. J. Lauhon, Direct correlation of structural domain formation with the metal insulator transition in a nanobeam, Nano Lett. 9, 4527 (2009).
- J. Cao, E. Ertekin, V. Srinivasan, W. Fan, S. Huang, H. Zheng, J. W. L. Yim, D. R. Khanal, D. F. Ogletree, J. C. Grossman, and J. Wu, Strain engineering and one-dimensional organization of metal–insulator domains in single-crystal vanadium dioxide beams, Nat. Nanotechnol. 4, 732 (2009).
- J. H. Park, J. M. Coy, T. S. Kasirga, C. Huang, Z. Fei, S. Hunter, and D. H. Cobden, Measurement of a solid-state triple point at the metal–insulator transition in , Nature (London) 500, 431 (2013).
- H. Asayesh-Ardakani, A. Nie, P. M. Marley, Y. Zhu, P. J. Phillips, S. Singh, F. Mashayek, G. Sambandamurthy, K.-b. Low, R. F. Klie, S. Banerjee, G. M. Odegard, and R. Shahbazian-Yassar, Atomic origins of monoclinic-tetragonal (rutile) phase transition in doped nanowires, Nano Lett. 15, 7179 (2015).
- Y. Muraoka and Z. Hiroi, Metal–insulator transition of thin films grown on (001) and (110) substrates, Appl. Phys. Lett. 80, 583 (2002).
- T.-H. Yang, R. Aggarwal, A. Gupta, H. Zhou, R. J. Narayan, and J. Narayan, Semiconductor-metal transition characteristics of thin films grown on c- and r-sapphire substrates, J. Appl. Phys. 107, 053514 (2010).
- N. B. Aetukuri, A. X. Gray, M. Drouard, M. Cossale, L. Gao, A. H. Reid, R. Kukreja, H. Ohldag, C. A. Jenkins, E. Arenholz, K. P. Roche, H. A. Dürr, M. G. Samant, and S. S. P. Parkin, Control of the metal–insulator transition in vanadium dioxide by modifying orbital occupancy, Nat. Phys. 9, 661 (2013).
- N. F. Quackenbush, J. W. Tashman, J. A. Mundy, S. Sallis, H. Paik, R. Misra, J. A. Moyer, J.-H. Guo, D. A. Fischer, J. C. Woicik, D. A. Muller, D. G. Schlom, and L. F. J. Piper, Nature of the metal insulator transition in ultrathin epitaxial vanadium dioxide, Nano Lett. 13, 4857 (2013).
- N. F. Quackenbush, H. Paik, M. J. Wahila, S. Sallis, M. E. Holtz, X. Huang, A. Ganose, B. J. Morgan, D. O. Scanlon, Y. Gu, F. Xue, et al., Stability of the M2 phase of vanadium dioxide induced by coherent epitaxial strain, Phys. Rev. B 94, 085105 (2016).
- D. Lee, J. Lee, K. Song, F. Xue, S.-Y. Choi, Y. Ma, J. Podkaminer, D. Liu, S.-C. Liu, B. Chung, W. Fan, S. J. Cho, W. Zhou, J. Lee, L.-Q. Chen, S. H. Oh, Z. Ma, and C.-B. Eom, Sharpened phase transition via controlled release of epitaxial strain, Nano Lett. 17, 5614 (2017).
- S. Fischer, J.-O. Krisponeit, M. Foerster, L. Aballe, J. Falta, and J. I. Flege, Massively strained thin film growth on , Cryst. Growth Des. 20, 2734 (2020).
- D. Lee, T. Min, J. Kim, S. Song, J. Lee, H. Kang, J. Lee, D.-Y. Cho, J. Lee, J. H. Jang, and S. Park, Octahedral symmetry modification induced orbital occupancy variation in , J. Phys. Chem. Lett. 13, 75 (2022).
- B. Lazarovits, K. Kim, K. Haule, and G. Kotliar, Effects of strain on the electronic structure of , Phys. Rev. B 81, 115117 (2010).
- H. Lu, S. Clark, Y. Guo, and J. Robertson, Modelling the enthalpy change and transition temperature dependence of the metal–insulator transition in pure and doped vanadium dioxide, Phys. Chem. Chem. Phys. 22, 13474 (2020).
- P. Mlkvik, C. Ederer, and N. A. Spaldin, Influence of germanium substitution on the structural and electronic stability of the competing vanadium dioxide phases, Phys. Rev. Res. 4, 043129 (2022).
- Y. Zhang, D. Ke, J. Wu, C. Zhang, L. Hou, B. Lin, Z. Chen, J. P. Perdew, and J. Sun, Challenges for density functional theory in simulating metal–metal singlet bonding: A case study of dimerized , J. Chem. Phys. 160, 134101 (2024).
- B. Stahl and T. Bredow, Critical assessment of the DFT + approach for the prediction of vanadium dioxide properties, J. Comput. Chem. 41, 258 (2020).
- P. Mlkvik, M. E. Merkel, N. A. Spaldin, and C. Ederer, Single-site DFT + DMFT for vanadium dioxide using bond-centered orbitals, Phys. Rev. Res. 6, 033122 (2024).
- L. Haas, P. Mlkvik, N. A. Spaldin, and C. Ederer, Incorporating static intersite correlation effects in vanadium dioxide through DFT + , Phys. Rev. Res. 6, 043177 (2024).
- V. Leiria Campo, Jr. and M. Cococcioni, Extended DFT + method with on-site and inter-site electronic interactions, J. Phys.: Condens. Matter 22, 055602 (2010).
- J. M. Tomczak and S. Biermann, Effective band structure of correlated materials: the case of , J. Phys.: Condens. Matter 19, 365206 (2007).
- J. M. Tomczak, F. Aryasetiawan, and S. Biermann, Effective bandstructure in the insulating phase versus strong dynamical correlations in metallic , Phys. Rev. B 78, 115103 (2008).
- J. M. Tomczak and S. Biermann, Optical properties of correlated materials: Generalized Peierls approach and its application to , Phys. Rev. B 80, 085117 (2009).
- A. S. Belozerov, M. A. Korotin, V. I. Anisimov, and A. I. Poteryaev, Monoclinic M1 phase of : Mott-Hubbard versus band insulator, Phys. Rev. B 85, 045109 (2012).
- Z. He and A. J. Millis, Photoinduced phase transitions in narrow-gap Mott insulators: The case of , Phys. Rev. B 93, 115126 (2016).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- I. Timrov, N. Marzari, and M. Cococcioni, HP—A code for the calculation of Hubbard parameters using density-functional perturbation theory, Comput. Phys. Commun. 279, 108455 (2022).
- J. Hubbard, Electron correlations in narrow energy bands, Proc. R. Soc. Lond. Ser. Math. Phys. Sci. 276, 238 (1963).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, et al., QUANTUM ESPRESSO: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. Buongiorno Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, N. Colonna, I. Carnimeo, A. Dal Corso, S. de Gironcoli, P. Delugas, R. A. DiStasio, A. Ferretti, A. Floris, G. Fratesi, G. Fugallo, et al., Advanced capabilities for materials modelling with Quantum ESPRESSO, J. Phys.: Condens. Matter 29, 465901 (2017).
- K. F. Garrity, J. W. Bennett, K. M. Rabe, and D. Vanderbilt, Pseudopotentials for high-throughput DFT calculations, Comput. Mater. Sci. 81, 446 (2014).
- A. A. Mostofi, J. R. Yates, G. Pizzi, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions, Comput. Phys. Commun. 185, 2309 (2014).
- G. Pizzi, V. Vitale, R. Arita, S. Blügel, F. Freimuth, G. Géranton, M. Gibertini, D. Gresch, C. Johnson, T. Koretsune, J. Ibañez-Azpiroz, H. Lee, J.-M. Lihm, D. Marchand, A. Marrazzo, Y. Mokrousov, J. I. Mustafa, Y. Nohara, Y. Nomura, L. Paulatto, et al., Wannier90 as a community code: new features and applications, J. Phys.: Condens. Matter 32, 165902 (2020).
- W. P. Su, J. R. Schrieffer, and A. J. Heeger, Soliton excitations in polyacetylene, Phys. Rev. B 22, 2099 (1980).
- P. Mlkvik, L. Geistlich, N. A. Spaldin, and C. Ederer, Effects of strain on the stability of the metallic rutile and insulating M1 phases of vanadium dioxide, Materials Cloud Archive (2026), https://doi.org/10.24435/materialscloud:bt-ah.