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  • Open Access

First-principles-based description of VO2 using DFT+DMFT with bond-centered orbitals

Peter Mlkvik, Nicola A. Spaldin, and Claude Ederer*

  • Materials Theory, Department of Materials, ETH Zürich, Wolfgang-Pauli-Strasse 27, 8093 Zürich, Switzerland

  • *Contact author: claude.ederer@mat.ethz.ch

Phys. Rev. Research 8, 033342 – Published 21 September, 2026

DOI: https://doi.org/10.1103/m911-zsvh

Abstract

We present a combined density-functional theory and dynamical mean-field theory (DFT+DMFT) study of the full structural phase space of rutile-based vanadium dioxide (VO2), including also the less studied M2 and T phases, using an unconventional bond-centered orbital basis. The use of bond-centered orbitals allows us to treat all main phases of VO2, and the structural transitions between them, using one consistent approach with moderate computational cost and without prepattering of the structure into dimerized and undimerized V-V pairs. We obtain two distinct insulating states on the two different types of vanadium chains in the M2 phase, a singlet insulator on the dimerized chains and a Mott insulator on the zigzag-distorted chains, which, however, are strongly coupled in the M2 phase and thus the metal-insulator transition always occurs concomitantly for both types of sites. We also demonstrate that the M2 phase corresponds to a local energy minimum in the structural phase space of VO2, the stability of which, apart from the internal structural distortion, depends crucially on the unit cell strain relative to the undistorted rutile phase. Our calculations further indicate that the symmetry-distinct triclinic T phase corresponds electronically to either an M1- or an M2-type insulator with an abrupt transition as a function of distortion. Finally, we disentangle the effect of the dimerization and zigzag distortions by constructing hypothetical structures that contain only one site type, finding that the zigzag distortion strongly favors emergence of the Mott-insulating state, as a function of both distortion and on-site interaction.

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References (83)

  1. F. J. Morin, Oxides which show a metal-to-insulator transition at the Néel temperature, Phys. Rev. Lett. 3, 34 (1959).
  2. V. Eyert, The metal-insulator transitions of VO2: A band theoretical approach, Ann. Phys. 514, 650 (2002).
  3. Z. Hiroi, Structural instability of the rutile compounds and its relevance to the metal–insulator transition of VO2, Prog. Solid State Chem. 43, 47 (2015).
  4. J.-P. Pouget, Basic aspects of the metal–insulator transition in vanadium dioxide VO2: A critical review, C. R. Phys. 22, 37 (2021).
  5. Z. Yang, C. Ko, and S. Ramanathan, Oxide electronics utilizing ultrafast metal-insulator transitions, Annu. Rev. Mater. Res. 41, 337 (2011).
  6. 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).
  7. W. Yi, K. K. Tsang, S. K. Lam, X. Bai, J. A. Crowell, and E. A. Flores, Biological plausibility and stochasticity in scalable VO2 active memristor neurons, Nat. Commun. 9, 4661 (2018).
  8. Y. Cui, Y. Ke, C. Liu, Z. Chen, N. Wang, L. Zhang, Y. Zhou, S. Wang, Y. Gao, and Y. Long, Thermochromic VO2 for energy-efficient smart windows, Joule 2, 1707 (2018).
  9. 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).
  10. J. B. Goodenough, The two components of the crystallographic transition in VO2, J. Solid State Chem. 3, 490 (1971).
  11. A. Zylbersztejn and N. F. Mott, Metal-insulator transition in vanadium dioxide, Phys. Rev. B 11, 4383 (1975).
  12. M. M. Qazilbash, M. Brehm, B.-G. Chae, P.-C. Ho, G. O. Andreev, B.-J. Kim, S. J. Yun, A. V. Balatsky, M. B. Maple, F. Keilmann, H.-T. Kim, and D. N. Basov, Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging, Science 318, 1750 (2007).
  13. T. J. Huffman, C. Hendriks, E. J. Walter, J. Yoon, H. Ju, R. Smith, G. L. Carr, H. Krakauer, and M. M. Qazilbash, Insulating phases of vanadium dioxide are Mott-Hubbard insulators, Phys. Rev. B 95, 075125 (2017).
  14. O. Nájera, M. Civelli, V. Dobrosavljević, and M. J. Rozenberg, Resolving the VO2 controversy: Mott mechanism dominates the insulator-to-metal transition, Phys. Rev. B 95, 035113 (2017).
  15. W. H. Brito, M. C. O. Aguiar, K. Haule, and G. Kotliar, Metal-insulator transition in VO2: A DFT + DMFT perspective, Phys. Rev. Lett. 117, 056402 (2016).
  16. W. H. Brito, M. C. O. Aguiar, K. Haule, and G. Kotliar, Dynamic electronic correlation effects in NbO2 as compared to VO2, Phys. Rev. B 96, 195102 (2017).
  17. K. Kosuge, The phase transition in VO2, J. Phys. Soc. Jpn. 22, 551 (1967).
  18. R. M. Wentzcovitch, W. W. Schulz, and P. B. Allen, VO2: Peierls or Mott-Hubbard? A view from band theory, Phys. Rev. Lett. 72, 3389 (1994).
  19. T. M. Rice, H. Launois, and J. P. Pouget, Comment on “VO2: Peierls or Mott-Hubbard? A view from band theory”, Phys. Rev. Lett. 73, 3042 (1994).
  20. A. Liebsch, H. Ishida, and G. Bihlmayer, Coulomb correlations and orbital polarization in the metal-insulator transition of VO2, Phys. Rev. B 71, 085109 (2005).
  21. S. Biermann, A. Poteryaev, A. I. Lichtenstein, and A. Georges, Dynamical singlets and correlation-assisted Peierls transition in VO2, Phys. Rev. Lett. 94, 026404 (2005).
  22. T. C. Koethe, Z. Hu, M. W. Haverkort, C. Schüßler-Langeheine, F. Venturini, N. B. Brookes, O. Tjernberg, W. Reichelt, H. H. Hsieh, H.-J. Lin, C. T. Chen, and L. H. Tjeng, Transfer of spectral weight and symmetry across the metal-insulator transition in VO2, Phys. Rev. Lett. 97, 116402 (2006).
  23. M. Gatti, F. Bruneval, V. Olevano, and L. Reining, Understanding correlations in vanadium dioxide from first principles, Phys. Rev. Lett. 99, 266402 (2007).
  24. 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).
  25. A. S. Belozerov, M. A. Korotin, V. I. Anisimov, and A. I. Poteryaev, Monoclinic M1 phase of VO2: Mott-Hubbard versus band insulator, Phys. Rev. B 85, 045109 (2012).
  26. D. Lee, B. Chung, Y. Shi, G.-Y. Kim, N. Campbell, F. Xue, K. Song, S.-Y. Choi, J. P. Podkaminer, T. H. Kim, et al., Isostructural metal-insulator transition in VO2, Science 362, 1037 (2018).
  27. C. Weber, S. Acharya, B. Cunningham, M. Grüning, L. Zhang, H. Zhao, Y. Tan, Y. Zhang, C. Zhang, K. Liu, M. Van Schilfgaarde, and M. Shalaby, Role of the lattice in the light-induced insulator-to-metal transition in vanadium dioxide, Phys. Rev. Res. 2, 023076 (2020).
  28. J. D. Budai, J. Hong, M. E. Manley, E. D. Specht, C. W. Li, J. Z. Tischler, D. L. Abernathy, A. H. Said, B. M. Leu, L. A. Boatner, R. J. McQueeney, and O. Delaire, Metallization of vanadium dioxide driven by large phonon entropy, Nature (London) 515, 535 (2014).
  29. J. M. Tomczak, F. Aryasetiawan, and S. Biermann, Effective bandstructure in the insulating phase versus strong dynamical correlations in metallic VO2, Phys. Rev. B 78, 115103 (2008).
  30. 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).
  31. J. P. Pouget, H. Launois, T. M. Rice, P. Dernier, A. Gossard, G. Villeneuve, and P. Hagenmuller, Dimerization of a linear Heisenberg chain in the insulating phases of V1−xCrxO2, Phys. Rev. B 10, 1801 (1974).
  32. J. P. Pouget, H. Launois, J. P. D’Haenens, P. Merenda, and T. M. Rice, Electron localization induced by uniaxial stress in pure VO2, Phys. Rev. Lett. 35, 873 (1975).
  33. E. Strelcov, A. Tselev, I. Ivanov, J. D. Budai, J. Zhang, J. Z. Tischler, I. Kravchenko, S. V. Kalinin, and A. Kolmakov, Doping-based stabilization of the M2 phase in free-standing VO2 nanostructures at room temperature, Nano Lett. 12, 6198 (2012).
  34. 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, et al., Stability of the M2 phase of vanadium dioxide induced by coherent epitaxial strain, Phys. Rev. B 94, 085105 (2016).
  35. M. Marezio, D. B. McWhan, J. P. Remeika, and P. D. Dernier, Structural aspects of the metal-insulator transitions in Cr-doped VO2, Phys. Rev. B 5, 2541 (1972).
  36. M. Ghedira, H. Vincent, M. Marezio, and J. C. Launay, Structural aspects of the metal-insulator transitions in V0.985Al0.015O2, J. Solid State Chem. 22, 423 (1977).
  37. S. Mandal, S. Shukla, R. K. Rohj, T. Pramanik, B. Joseph, and D. D. Sarma, Structural phase transitions in lightly doped VO2 systems, Phys. Rev. B 112, 054104 (2025).
  38. S. Zhang, J. Y. Chou, and L. J. Lauhon, Direct correlation of structural domain formation with the metal insulator transition in a VO2 nanobeam, Nano Lett. 9, 4527 (2009).
  39. 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).
  40. 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 VO2 near the metal-insulator transition, Phys. Rev. B 85, 020101(R) (2012).
  41. K. Okimura, T. Watanabe, and J. Sakai, Stress-induced VO2 films with M2 monoclinic phase stable at room temperature grown by inductively coupled plasma-assisted reactive sputtering, J. Appl. Phys. 111, 073514 (2012).
  42. V. Eyert, VO2: A novel view from band theory, Phys. Rev. Lett. 107, 016401 (2011).
  43. R. Grau-Crespo, H. Wang, and U. Schwingenschlögl, Why the Heyd-Scuseria-Ernzerhof hybrid functional description of VO2 phases is not correct, Phys. Rev. B 86, 081101(R) (2012).
  44. I. Kylänpää, J. Balachandran, P. Ganesh, O. Heinonen, P. R. C. Kent, and J. T. Krogel, Accuracy of ab initio electron correlation and electron densities in vanadium dioxide, Phys. Rev. Mater. 1, 065408 (2017).
  45. H. Zheng and L. K. Wagner, Computation of the correlated metal-insulator transition in vanadium dioxide from first principles, Phys. Rev. Lett. 114, 176401 (2015).
  46. J. M. Tomczak and S. Biermann, Effective band structure of correlated materials: The case of VO2, J. Phys.: Condens. Matter 19, 365206 (2007).
  47. J. M. Tomczak and S. Biermann, Optical properties of correlated materials: Generalized Peierls approach and its application to VO2, Phys. Rev. B 80, 085117 (2009).
  48. X. Yuan, Y. Zhang, T. A. Abtew, P. Zhang, and W. Zhang, VO2: Orbital competition, magnetism, and phase stability, Phys. Rev. B 86, 235103 (2012).
  49. 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 VO2, J. Chem. Phys. 160, 134101 (2024).
  50. J. R. Brews, Symmetry considerations and the vanadium dioxide phase transition, Phys. Rev. B 1, 2557 (1970).
  51. A. Tselev, I. A. Luk’yanchuk, I. N. Ivanov, J. D. Budai, J. Z. Tischler, E. Strelcov, A. Kolmakov, and S. V. Kalinin, Symmetry relationship and strain-induced transitions between insulating M1 and M2 and metallic R phases of vanadium dioxide, Nano Lett. 10, 4409 (2010).
  52. M. A. Davenport, M. J. Krogstad, L. M. Whitt, C. Hu, T. C. Douglas, N. Ni, S. Rosenkranz, R. Osborn, and J. M. Allred, Fragile 3D order in V1−xMoxO2, Phys. Rev. Lett. 127, 125501 (2021).
  53. D. B. McWhan, M. Marezio, J. P. Remeika, and P. D. Dernier, X-ray diffraction study of metallic VO2, Phys. Rev. B 10, 490 (1974).
  54. J. M. Longo, P. Kierkegaard, C. J. Ballhausen, U. Ragnarsson, S. E. Rasmussen, E. Sunde, and N. A. Sørensen, A refinement of the structure of VO2, Acta Chem. Scand. 24, 420 (1970).
  55. 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).
  56. P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. Buongiorno Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, et al., Advanced capabilities for materials modelling with QUANTUM ESPRESSO, J. Phys.: Condens. Matter 29, 465901 (2017).
  57. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
  58. K. F. Garrity, J. W. Bennett, K. M. Rabe, and D. Vanderbilt, Pseudopotentials for high-throughput DFT calculations, Comput. Mater. Sci. 81, 446 (2014).
  59. 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).
  60. G. Pizzi, V. Vitale, R. Arita, S. Blügel, F. Freimuth, G. Géranton, M. Gibertini, D. Gresch, C. Johnson, T. Koretsune, et al., Wannier90 as a community code: New features and applications, J. Phys.: Condens. Matter 32, 165902 (2020).
  61. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions, Rev. Mod. Phys. 68, 13 (1996).
  62. G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Electronic structure calculations with dynamical mean-field theory, Rev. Mod. Phys. 78, 865 (2006).
  63. F. Lechermann, A. Georges, A. Poteryaev, S. Biermann, M. Posternak, A. Yamasaki, and O. K. Andersen, Dynamical mean-field theory using Wannier functions: A flexible route to electronic structure calculations of strongly correlated materials, Phys. Rev. B 74, 125120 (2006).
  64. S. Beck, A. Hampel, O. Parcollet, C. Ederer, and A. Georges, Charge self-consistent electronic structure calculations with dynamical mean-field theory using QUANTUM ESPRESSO, WANNIER 90 and TRIQS, J. Phys.: Condens. Matter 34, 235601 (2022).
  65. M. E. Merkel, A. Carta, S. Beck, and A. Hampel, Solid_dmft: Gray-boxing DFT + DMFT materials simulations with TRIQS, J. Open Source Software 7, 4623 (2022).
  66. O. Parcollet, M. Ferrero, T. Ayral, H. Hafermann, I. Krivenko, L. Messio, and P. Seth, TRIQS: A toolbox for research on interacting quantum systems, Comput. Phys. Commun. 196, 398 (2015).
  67. J. Kanamori, Electron correlation and ferromagnetism of transition metals, Prog. Theor. Phys. 30, 275 (1963).
  68. L. Vaugier, H. Jiang, and S. Biermann, Hubbard U and Hund exchange J in transition metal oxides: Screening versus localization trends from constrained random phase approximation, Phys. Rev. B 86, 165105 (2012).
  69. A. Georges, L. de’ Medici, and J. Mravlje, Strong correlations from Hund’s coupling, Annu. Rev. Condens. Matter Phys. 4, 137 (2013).
  70. P. Seth, I. Krivenko, M. Ferrero, and O. Parcollet, TRIQS/CTHYB: A continuous-time quantum Monte Carlo hybridisation expansion solver for quantum impurity problems, Comput. Phys. Commun. 200, 274 (2016).
  71. P. Werner and A. J. Millis, Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models, Phys. Rev. B 74, 155107 (2006).
  72. E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer, and P. Werner, Continuous-time Monte Carlo methods for quantum impurity models, Rev. Mod. Phys. 83, 349 (2011).
  73. V. I. Anisimov, I. V. Solovyev, M. A. Korotin, M. T. Czyżyk, and G. A. Sawatzky, Density-functional theory and NiO photoemission spectra, Phys. Rev. B 48, 16929 (1993).
  74. M. Jarrell and J. E. Gubernatis, Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data, Phys. Rep. 269, 133 (1996).
  75. G. J. Kraberger, R. Triebl, M. Zingl, and M. Aichhorn, Maximum entropy formalism for the analytic continuation of matrix-valued Green’s functions, Phys. Rev. B 96, 155128 (2017).
  76. D. Bergeron and A.-M. S. Tremblay, Algorithms for optimized maximum entropy and diagnostic tools for analytic continuation, Phys. Rev. E 94, 023303 (2016).
  77. C. Honerkamp, H. Shinaoka, F. F. Assaad, and P. Werner, Limitations of constrained random phase approximation downfolding, Phys. Rev. B 98, 235151 (2018).
  78. A. Pauli, A. Mishra, M. Rösner, and E. G. C. P. van Loon, Static treatment of dynamic interactions in the single-orbital Anderson impurity model, Phys. Rev. B 112, 195101 (2025).
  79. A. Carta, A. Panda, and C. Ederer, Importance of ligand on-site interactions for the description of Mott-insulators in DFT + DMFT, npj Comput. Mater. 12, 57 (2026).
  80. E. G. C. P. van Loon, M. Rösner, M. I. Katsnelson, and T. O. Wehling, Random phase approximation for gapped systems: Role of vertex corrections and applicability of the constrained random phase approximation, Phys. Rev. B 104, 045134 (2021).
  81. C. J. C. Scott and G. H. Booth, Rigorous screened interactions for realistic correlated electron systems, Phys. Rev. Lett. 132, 076401 (2024).
  82. M. E. Merkel and C. Ederer, Calculation of screened Coulomb interaction parameters for the charge-disproportionated insulator CaFeO3, Phys. Rev. Res. 6, 013230 (2024).
  83. P. Mlkvik, N. A. Spaldin, and C. Ederer, Towards a unified first-principles-based description of VO2 using DFT + DMFT with bond-centered orbitals, Materials Cloud Archive, 2026, DOI: 10.24435/materialscloud:ht-72.

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