Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Insulator to metal transition by bandwidth reduction

Guoren Zhang1 and Eva Pavarini2

Phys. Rev. B 112, L201101 – Published 4 November, 2025

DOI: https://doi.org/10.1103/m3r6-ylxr

Abstract

In a classic Mott system, the transition from the insulating to the metallic state occurs when the lattice spacing is reduced such that the increase in bandwidth W overcomes the local Coulomb repulsion U. In this picture, both W and the ratio W/U become larger with decreasing the distance between correlated sites. Here we show that, in transition-metal compounds, there is another path to metallization. It is associated with an expansion (instead of a compression) of the lattice and thus with a decrease in W. In this scenario W/U grows with increasing distance—the opposite of the classical Mott case. Such a surprising inversion can be obtained by decoupling the main factors controlling W and screening. This mechanism explains the electronic behavior of the t2g2 triangular lattice series LiVX2 (X=O, S, and Se) with increasing anionic size.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (50)

  1. N. F. Mott, Metal-insulator transition, Rev. Mod. Phys. 40, 677 (1968).
  2. E. Pavarini, S. Biermann, A. Poteryaev, A. I. Lichtenstein, A. Georges, and O. K. Andersen, Mott transition and suppression of orbital fluctuations in orthorhombic 3d1 perovskites, Phys. Rev. Lett. 92, 176403 (2004).
  3. E. Pavarini, A. Yamasaki, J. Nuss, and O. K. Andersen, How chemistry controls electron localization in 3d1 perovskites: A Wannier-function study, New J. Phys. 7, 188 (2005).
  4. L. de' Medici, Hund's coupling and its key role in tuning multiorbital correlation, Phys. Rev. B 83, 205112 (2011).
  5. L. de' Medici, J. Mravlje, and A. Georges, Janus-faced influence of Hund's rule coupling in strongly correlated materials, Phys. Rev. Lett. 107, 256401 (2011).
  6. A. Georges and G. Kotliar, The Hund-metal path to strong electronic correlations, Phys. Today 77(4), 46 (2024).
  7. G. Zhang and E. Pavarini, Multiorbital nature of doped Sr2IrO4, Phys. Rev. Lett. 131, 036504 (2023).
  8. N. Samani, G. Zhang, and E. Pavarini, Map of crystal-field effects in correlated layered t2gn perovskites, Phys. Rev. Lett. 132, 236505 (2024).
  9. G. Zhang and E. Pavarini, Magnetic superexchange couplings in Sr2IrO4, Phys. Rev. B 104, 125116 (2021).
  10. M. Onoda and T. Inabe, Role of structural change in phase transition in LiVO2, J. Phys. Soc. Jpn. 62, 2216 (1993).
  11. B. Van Laar and D. J. W. Ijdo, Preparation, crystal structure, and magnetic structure of LiCrS2 and LiVS2, J. Solid State Chem. 3, 590 (1971).
  12. D. W. Murphy, F. J. Di Salvo, G. W. Hull, Jr., and J. V. Waszczak, Convenient preparation and physical properties of lithium intercalation compounds of group 4B and 5B layered transition metal dichalcogenides, Inorg. Chem. 15, 17 (1976). The third Se coordinate is not given in this work; we thus obtained it by structural optimization calculations using LDA as the functional.
  13. J. B. Goodenough, Magnetism and the Chemical Bond (Interscience and Wiley, New York, 1963).
  14. M. Onoda, T. Naka, and H. Nagaswa, Phase transition and spin dynamics in LiVO2, J. Phys. Soc. Jpn. 60, 2550 (1991).
  15. K. Imai, H. Swa, M. Koike, M. Hasegawa, and H. Takei, Superstructure analyses on single crystals of Li0.8VO2, J. Solid State Chem. 114, 184 (1995).
  16. H. F. Pen, L. H. Tjeng, E. Pellegrin, F. M. F. de Groot, G. A. Sawatzky, M. A. van Veenendaal, and C. T. Chen, Phase transition in LiVO2 studied by near-edge x-ray-absorption spectroscopy, Phys. Rev. B 55, 15500 (1997).
  17. S. Yu Ezhov, V. I. Anisimov, H. F. Pen, D. I. Khomskii, and G. A. Sawatzky, Orbital polarization in LiVO2 and NaTiO2, Europhys. Lett. 44, 491 (1998).
  18. N. Katayama, M. Uchida, D. Hashizume, S. Niitaka, J. Matsuno, D. Matsumura, Y. Nishihata, J. Mizuki, N. Takeshita, A. Gauzzi, M. Nohara, and H. Takagi, Anomalous metallic state in the vicinity of metal to valence-bond solid insulator transition in LiVS2, Phys. Rev. Lett. 103, 146405 (2009).
  19. T. Tanaka, Y. Kawasaki, S. Endou, S. Kimura, Y. Ideta, Y. Kishimoto, T. Ohno, N. Katayama, M. Nohara, and H. Takagi, Trimer V3+ spin singlet state and pseudo gap in LiVS2 studied by V51 and Li7 nuclear magnetic resonance, J. Phys. Soc. Jpn. 78, 054709 (2009).
  20. T. Jin-no, Y. Shimizu, M. Itoh, S. Niitaka, and H. Takagi, Orbital reformation with vanadium trimerization in d2 triangular lattice LiVO2 revealed by V51 NMR, Phys. Rev. B 87, 075135 (2013).
  21. K. Kojima, N. Katayama, S. Tamura, M. Shiomi, and H. Sawa, Vanadium trimers randomly aligned along the c-axis direction in layered LiVO2, Phys. Rev. B 100, 235120 (2019).
  22. L. Boehnke, A. I. Lichtenstein, M. I. Katsnelson, and F. Lechermann, Hidden spin-orbital hexagonal ordering induced by strong correlations in LiVS2, Phys. Rev. B 102, 115118 (2020).
  23. K. Kojima, N. Katayama, Y. Matsuda, M. Shiomi, R. Ishii, and H. Sawa, Short-range order and increased transition temperature in LiVO2 with weakened trimer frustration, Phys. Rev. B 107, L020101 (2023).
  24. K. Kojima, N. Katayama, K. Sugimoto, N. Hirao, Y. Ohta, and H. Sawa, Zigzag chain order of LiVSe2 developing away from the vanadium trimer phase transition boundary, Phys. Rev. B 108, 094107 (2023).
  25. N. Katayama, K. Kojima, T. Yamaguchi, S. Hattori, S. Tamura, K. Ohara, S. Kobayashi, K. Sugimoto, Y. Ohta, K. Saitoh, and H. Sawa, Slow dynamics of disordered zigzag chain molecules in layered LiVS2 under electron irradiation, npj Quantum Mater. 6, 16 (2021).
  26. H. Takei, M. Koike, K. Imai, H. Sawa, H. Kadowaki, and Y. Iye, Growth and properties of Li-deficient lithium vanadium dioxide single crystals, Mater. Res. Bull. 27, 555 (1992).
  27. W. Tian, M. F. Chisholm, P. G. Khalifah, R. Jin, B. C. Sales, S. E. Nagler, and D. Mandrus, Single crystal growth and characterization of nearly stoichiometric LiVO2, Mater. Res. Bull. 39, 1319 (2004).
  28. See, e.g., Dynamical Mean-Field Theory of Correlated Electrons, edited by E. Pavarini, E. Koch, A. I. Lichtenstein, and D. Vollhardt, Modeling and Simulation Series, Vol. 12 (Forschungszentrum Jülich, Jülich, 2022), and references therein.
  29. See, e.g., E. Pavarini, The LDA+DMFT approach, in The LDA+DMFT Approach to Strongly Correlated Materials, edited by E. Pavarini, E. Koch, D. Vollhardt, and A. Lichtenstein, Modeling and Simulation Series, Vol. 1 (Forschungszentrum Jülich, Jülich, 2011).
  30. E. Pavarini, Solving the strong-correlation problem in materials, Riv. Nuovo Cimento 44, 597 (2021).
  31. P. Blaha, K. Schwarz, G. K. H. Madsen, D. Kvasnicka, and J. Luitz, WIEN2k, an Augmented Plane Wave Local Orbitals Program for Calculating Crystal Properties (Technische Universität Wien, Austria, 2001); P. Blaha, K. Schwarz, P. Sorantin, and S. Trickey, Full-potential, linearized augmented plane wave programs for crystalline systems, Comput. Phys. Commun. 59, 399 (1990).
  32. 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).
  33. E. Gorelov, M. Karolak, T. O. Wehling, F. Lechermann, A. I. Lichtenstein, and E. Pavarini, Nature of the Mott transition in Ca2RuO4, Phys. Rev. Lett. 104, 226401 (2010).
  34. G. Zhang, E. Gorelov, E. Sarvestani, and E. Pavarini, Fermi surface of Sr2RuO4: Spin-orbit and anisotropic Coulomb interaction effects, Phys. Rev. Lett. 116, 106402 (2016).
  35. G. Zhang and E. Pavarini, Mott transition, spin-orbit effects, and magnetism in Ca2RuO4, Phys. Rev. B 95, 075145 (2017).
  36. E. Sarvestani, G. Zhang, E. Gorelov, and E. Pavarini, Effective masses, lifetimes, and optical conductivity in Sr2RuO4 and Sr3Ru2O7: Interplay of spin-orbit, crystal-field, and Coulomb tetragonal tensor interactions, Phys. Rev. B 97, 085141 (2018).
  37. F. Aryasetiawan, M. Imada, A. Georges, G. Kotliar, S. Biermann, and A. I. Lichtenstein, Frequency-dependent local interactions and low-energy effective models from electronic structure calculations, Phys. Rev. B 70, 195104 (2004).
  38. H. Jiang and P. Blaha, GW with linearized augmented plane waves extended by high-energy local orbitals, Phys. Rev. B 93, 115203 (2016); H. Jiang, R. I. Gómez-Abal, X. Li, C. Meisenbichler, C. Ambrosch-Draxl, and M. Scheffler, FHI-gap: A GW code based on the all-electron augmented plane wave method, Comput. Phys. Commun. 184, 348 (2013).
  39. Since the cRPA tends to overestimate screening for the direct Coulomb integral U, in DMFT calculations the actual Uav has been multiplied by a factor of 1.3, the same for all systems. The Hund's rule coupling J is kept fixed; this ensures that the gap is correctly reproduced for LiVO2.
  40. We obtain similar results for a five-band model including explicitly the eg states. This is because the splitting between eg and t2g bands is large (above 1.5 eV) in all cases, and the total d-band width decreases with X=O→Se.
  41. B. Huang, G. Clark, E. Navarro-Moratalla, D. R. Klein, Ran Cheng, Kyle L. Seyler, D. Zhong, E. Schmidgall, M. A. McGuire, D. H. Cobden, W. Yao, D. Xiao, P. Jarillo-Herrero, and X. Xu, Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit, Nature (London) 546, 270 (2017).
  42. J. G. Rau, E. K. -H. Lee, and H.-Y. Kee, Generic spin model for the honeycomb iridates beyond the Kitaev limit, Phys. Rev. Lett. 112, 077204 (2014).
  43. B. R. Ortiz, P. M. Sarte, A. H. Avidor, A. Hay, E. Kenney, A. I. Kolesnikov, D. M. Pajerowski, A. A. Aczel, K. M. Taddei, C. M. Brown, C. Wang, M. J. Graf, R. Seshadri, L. Balents, and S. D. Wilson, Quantum disordered ground state in the triangular-lattice magnet NaRuO2, Nat. Phys. 19, 943 (2023).
  44. R. Yadav, R. Ray, M. S. Eldeeb, S. Nishimoto, L. Hozoi, and J. van den Brink, Strong effect of hydrogen order on magnetic Kitaev interactions in H3LiIr2O6, Phys. Rev. Lett. 121, 197203 (2018).
  45. A. Banerjee, C. A. Bridges, J.-Q. Yan, A. A. Aczel, L. Li, M. B. Stone, G. E. Granroth, M. D. Lumsden, Y. Yiu, J. Knolle, S. Bhattacharjee, D. L. Kovrizhin, R. Moessner, D. A. Tennant, D. G. Mandrus, and S. E. Nagler, Proximate Kitaev quantum spin liquid in a honeycomb magnet, Nat. Mater. 15, 733 (2016).
  46. M. Otoyama, T. Takeuchi, N. Taguchi, K. Kuratani, and H. Sakaebe, Mechanochemical synthesis and electrochemical properties of LixVSy positive electrodes for all-solid-state batteries, ECS Adv. 2, 010501 (2023).
  47. X. Zhang, Q. He, X. Xu, T. Xiong, Z. Xiao, J. Meng, X. Wang, L. Wu, J. Chen, and L. Mai, Insights into the storage mechanism of layered VS2 cathode in alkali metal-ion batteries, Adv. Energy Mater. 10, 1904118 (2020).
  48. A. Hoffmann, S. Ramanathan, J. Grollier, A. D. Kent, M. J. Rozenberg, I. K. Schuller, O. G. Shpyrko, R. C. Dynes, Y. Fainman, A. Frano, E. E. Fullerton, G. Galli, V. Lomakin, S. Ping Ong, A. K. Petford-Long, J. A. Schuller, M. D. Stiles, Y. Takamura, and Y. Zhu, Quantum materials for energy-efficient neuromorphic computing: Opportunities and challenges, APL Mater. 10, 070904 (2022).
  49. www.gauss-centre.eu.
  50. Jülich Supercomputing Centre. JURECA: Data centric and booster modules implementing the modular supercomputing architecture at Jülich Supercomputing Centre, J. Large-Scale Res. Facil. JLSRF 7, A182 (2021).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation