- Letter
- Open Access
Nature of the high-pressure insulating state in : Mott picture
Phys. Rev. B 111, L121101 – Published 4 March, 2025
DOI: https://doi.org/10.1103/PhysRevB.111.L121101
Abstract
At ambient pressure, the layered perovskite is a correlated small-gap insulator. In the Mott picture, applying uniform pressure should therefore quickly close the gap; experimentally, however, the insulating state persists even under extreme pressures, suggesting that a mechanism other than Mott is at work. Yet, given the complexity of the system, it is unclear to what extent the Mott picture can be really excluded. Here, we thus reexamine the problem. We show that, surprisingly, the pressure-induced enhancement of the screened Coulomb interaction—combined with lattice distortions and spin-orbit driven orbital ordering—can hold the system close to the metal-insulator transition up to very high pressure.
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References (58)
- T. Shimura, Y. Inaguma, T. Nakamura, M. Itoh, and Y. Morii, Structure and magnetic properties of ( and Ba), Phys. Rev. B 52, 9143 (1995).
- G. Cao and P. Schlottmann, The challenge of spin-orbit-tuned ground states in iridates: A key issues review, Rep. Prog. Phys. 81, 042502 (2018).
- H. Kim, J. K. Kim, J. Kwon, J. Kim, H. J. Kim, S. Ha, K. Kim, W. Lee, J. Kim, G. Y. Cho, H. Heo, J. Jang, C. J. Sahle, A. Longo, J. Strempfer, G. Fabbris, Y. Choi, D. Haskel, J. Kim, J-. Kim, and B. J. Kim, Quantum spin nematic phase in a square-lattice iridate, Nature (London) 625, 264 (2024).
- D. Kim, B. Sohn, Y. Lee, J. Song, M. K. Kim, M. Kim, T. W. Noh, and C. Kim, Strain tunable electronic ground states in two-dimensional iridate thin films, Appl. Surf. Sci. 657, 159801 (2024).
- L. Wang, H. Liu, V. Zimmermann, A. K. Yogi, M. Isobe, M. Minola, M. Hepting, G. Khaliullin, and B. Keimer, Spin-orbit excitons in a correlated metal: Raman scattering study of , Phys. Rev. Lett. 132, 116502 (2024).
- D. Choi, C. Yue, D. Azoury, Z. Porter, J. Chen, F. Petocchi, E. Baldini, B. Lv, M. Mogi, Y. Su, S. D. Wilson, M. Eckstein, P. Werner, and N. Gedik, Light-induced insulator-metal transition in reveals the nature of the insulating ground state, Proc. Natl. Acad. Sci. USA 121, e2323013121 (2024).
- E. Paris, Y. Tseng, E. M. Pärschke, W. Zhang, M. H. Upton, A. Efimenko, K. Rolfs, D. E. McNally, L. Maurel, M. Naamneh, M. Caputo, V. N. Strocov, Z. Wang, D. Casa, C. W. Schneider, E. Pomjakushina, K. Wohlfeld, M. Radovic, and T. Schmitt, Strain engineering of the charge and spin-orbital interactions in , Proc. Natl. Acad. Sci. USA 117, 24764 (2020).
- S. Pandey, H. Zhang, J. Yang, A. F. May, J. J. Sanchez, Z. Liu, J.-H. Chu, J.-W. Kim, P. J. Ryan, H. Zhou, and J. Liu, Controllable emergent spatial spin modulation in by in situ shear strain, Phys. Rev. Lett. 129, 027203 (2022).
- B. J. Kim, H. Jin, S. J. Moon, J.-Y. Kim, B.-G. Park, C. S. Leem, J. Yu, T. W. Noh, C. Kim, S.-J. Oh, J.-H. Park, V. Durairaj, G. Cao, and E. Rotenberg, Novel Mott state induced by relativistic spin-orbit coupling in , Phys. Rev. Lett. 101, 076402 (2008).
- B. J. Kim, H. Ohsumi, T. Komesu, S. Sakai, T. Morita, H. Takagi, and T. Arima, Phase-sensitive observation of a spin-orbital Mott state in , Science 323, 1329 (2009).
- H. Jin, H. Jeong, T. Ozaki, and J. Yu, Anisotropic exchange interactions of spin-orbit-integrated states in , Phys. Rev. B 80, 075112 (2009).
- F. Wang and T. Senthil, Twisted Hubbard model for : Magnetism and possible high temperature superconductivity, Phys. Rev. Lett. 106, 136402 (2011).
- H. Zhang, K. Haule, and D. Vanderbilt, Effective insulating state in Ruddlesden-Popper iridates: An study, Phys. Rev. Lett. 111, 246402 (2013).
- G. Zhang and E. Pavarini, Multiorbital nature of doped , Phys. Rev. Lett. 131, 036504 (2023).
- N. Samani, G. Zhang, and E. Pavarini, Map of crystal-field effects in correlated layered perovskites, Phys. Rev. Lett. 132, 236505 (2024).
- B. Zwartsenberg, R. P. Day, E. Razzoli, M. Michiardi, M. X. Na, G. Zhang, J. D. Denlinger, I. Vobornik, C. Bigi, B. J. Kim, I. S. Elfimov, E. Pavarini, and A. Damascelli, Constraints on the two-dimensional pseudospin- Mott insulator description of , Phys. Rev. B 105, 245130 (2022).
- C. Chen, Y. Zhou, X. Chen, T. Han, C. An, Y. Zhou, Y. Yuan, B. Zhang, S. Wang, R. Zhang, L. Zhang, C. Zhang, Z. Yang, L. E. DeLong, and G. Cao, Persistent insulating state at megabar pressures in strongly spin-orbit coupled , Phys. Rev. B 101, 144102 (2020).
- D. Haskel, G. Fabbris, M. Zhernenkov, P. P. Kong, C. Q. Jin, G. Cao, and M. van Veenendaal, Pressure tuning of the spin-orbit coupled ground state in , Phys. Rev. Lett. 109, 027204 (2012).
- D. A. Zocco, J. J. Hamlin, B. D. White, B. J. Kim, J. R. Jeffries, S. T. Weir, Y. K. Vohra, J. W. Allen, and M. B. Maple, Persistent non-metallic behavior in and at high pressures, J. Phys.: Condens. Matter 26, 255603 (2014).
- D. Haskel, G. Fabbris, J. H. Kim, L. S. I. Veiga, J. R. L. Mardegan, C. A. Escanhoela, Jr., S. Chikara, V. Struzhkin, T. Senthil, B. J. Kim, G. Cao, and J.-W. Kim, Possible quantum paramagnetism in compressed , Phys. Rev. Lett. 124, 067201 (2020).
- E. Pavarini, S. Biermann, A. Poteryaev, A. I. Lichtenstein, A. Georges, and O. K. Andersen, Mott transition and suppression of orbital fluctuations in orthorhombic perovskites, Phys. Rev. Lett. 92, 176403 (2004).
- E. Pavarini, A. Yamasaki, J. Nuss, and O. K. Andersen, How chemistry controls electron localization in perovskites: a Wannier-function study, New J. Phys. 7, 188 (2005).
- K. Samanta, F. M. Ardito, N. M. Souza-Neto, and E. Granado, First-order structural transition and pressure-induced lattice/phonon anomalies in , Phys. Rev. B 98, 094101 (2018).
- The masses are here defined as , where is the lowest Matsubara frequency and . Limit cases: In the Mott insulating phase , while for occupied and empty bands, .
- R. Arita, J. Kuneš, A. V. Kozhevnikov, A. G. Eguiluz, and M. Imada, Ab initio studies on the interplay between spin-orbit interaction and Coulomb correlation in and , Phys. Rev. Lett. 108, 086403 (2012).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.111.L121101 for more details on the ratio, hopping integrals and cRPA calculations.
- See, e.g., Dynamical Mean-Field Theory of Correlated Electrons, edited by E. Pavarini, E. Koch, A. I. Lichtenstein, and D. Vollhardt (Forschungszentrum Jülich, Jülich, 2022), Vol. 12.
- 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).
- A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, Wannier90: A tool for obtaining maximally-localised Wannier functions, Comput. Phys. Commun. 178, 685 (2008).
- See, e.g., E. Pavarini, in 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 (Forschungszentrum Jülich, Jülich, 2011), Vol. 1.
- E. Pavarini, Solving the strong-correlation problem in materials, Riv. Nuovo Cimento 44, 597 (2021).
- 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).
- E. Gorelov, M. Karolak, T. O. Wehling, F. Lechermann, A. I. Lichtenstein, and E. Pavarini, Nature of the Mott transition in , Phys. Rev. Lett. 104, 226401 (2010).
- G. Zhang, E. Gorelov, E. Sarvestani, and E. Pavarini, Fermi surface of : Spin-orbit and anisotropic Coulomb interaction effects, Phys. Rev. Lett. 116, 106402 (2016).
- G. Zhang and E. Pavarini, Mott transition, spin-orbit effects, and magnetism in , Phys. Rev. B 95, 075145 (2017).
- G. Zhang and E. Pavarini, Optical conductivity, Fermi surface, and spin-orbit coupling effects in , Phys. Rev. B 99, 125102 (2019).
- E. Sarvestani, G. Zhang, E. Gorelov, and E. Pavarini, Effective masses, lifetimes, and optical conductivity in and : Interplay of spin-orbit, crystal-field, and Coulomb tetragonal tensor interactions, Phys. Rev. B 97, 085141 (2018).
- G. Zhang and E. Pavarini, Magnetic superexchange couplings in , Phys. Rev. B 104, 125116 (2021).
- J. Dai, E. Calleja, G. Cao, and K. McElroy, Local density of states study of a spin-orbit-coupling induced Mott insulator , Phys. Rev. B 90, 041102(R) (2014).
- We performed the calculation for several functionals [generalized gradient approximation (GGA), local density approximation (LDA), , and , spin-polarized and not], obtaining similar results, albeit slightly different (of maximum ) rotation angles; the largest angles are obtained in GGA. We use these values for consistency with Ref. [23], where GGA was also used.
- 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).
- F. Aryasetiawan, K. Karlsson, O. Jepsen, and U. Schönberger, Calculations of Hubbard from first-principles, Phys. Rev. B 74, 125106 (2006).
- A. Schindlmayr, C. Friedrich, E. Şaşıoğlu, and S. Blügel, First-principles calculation of electronic excitations in solids with SPEX, Z. Phys. Chem. 224, 357 (2010).
- H. Okabe, N. Takeshita, M. Isobe, E. Takayama-Muromachi, T. Muranaka, and J. Akimitsu, Pressure-induced metal-insulator transition in the spin-orbit Mott insulator , Phys. Rev. B 84, 115127 (2011).
- S. Fujiyama, H. Ohsumi, K. Ohashi, D. Hirai, B. J. Kim, T. Arima, M. Takata, and H. Takagi, Spin and orbital contributions to magnetically ordered moments in layered perovskite , Phys. Rev. Lett. 112, 016405 (2014).
- G. Jackeli, and G. Khaliullin, Mott insulators in the strong spin-orbit coupling limit: From Heisenberg to a quantum compass and Kitaev models, Phys. Rev. Lett. 102, 017205 (2009).
- B. H. Kim, G. Khaliullin, and B. I. Min, Magnetic couplings, optical spectra, and spin-orbit exciton in electron Mott insulator , Phys. Rev. Lett. 109, 167205 (2012).
- N. A. Bogdanov, V. M. Katukuri, J. Romhányi, V. Yushankhai, V. Kataev, B. Büchner, J. van den Brink, and L. Hozoi, Orbital reconstruction in nonpolar tetravalent transition-metal oxide layers, Nat. Commun. 6, 7306 (2015).
- S. Agrestini, C.-Y. Kuo, M. Moretti Sala, Z. Hu, D. Kasinathan, K.-T. Ko, P. Glatzel, M. Rossi, J.-D. Cafun, K. O. Kvashnina, A. Matsumoto, T. Takayama, H. Takagi, L. H. Tjeng, and M. W. Haverkort, Long-range interactions in the effective low-energy Hamiltonian of : A core-to-core resonant inelastic x-ray scattering study, Phys. Rev. B 95, 205123 (2017).
- I. V. Solovyev, V. V. Mazurenko, and A. A. Katanin, Validity and limitations of the superexchange model for the magnetic properties of and mediated by the strong spin-orbit coupling, Phys. Rev. B 92, 235109 (2015).
- C. Lane, Y. Zhang, J. W. Furness, R. S. Markiewicz, B. Barbiellini, J. Sun, and A. Bansil, First-principles calculation of spin and orbital contributions to magnetically ordered moments in , Phys. Rev. B 101, 155110 (2020).
- T. Ishikawa, T. Toriyama, T. Konishi, H. Sakurai, and Y. Ohta, Reversed crystal-field splitting and spin-orbital ordering in , J. Phys. Soc. Jpn. 86, 033701 (2017).
- S. Boseggia, R. Springell, H. C. Walker, H. M. Rønnow, Ch. Rüegg, H. Okabe, M. Isobe, R. S. Perry, S. P. Collins, and D. F. McMorrow, Robustness of basal-plane antiferromagnetic order and the state in single-layer iridate spin-orbit Mott insulators, Phys. Rev. Lett. 110, 117207 (2013).
- J. M. Tomczak, T. Miyake, and F. Aryasetiawan, Realistic many-body models for manganese monoxide under pressure, Phys. Rev. B 81, 115116 (2010).
- S. K. Panda, H. Jiang, and S. Biermann, Pressure dependence of dynamically screened Coulomb interactions in NiO: Effective Hubbard, Hund, intershell, and intersite components, Phys. Rev. B 96, 045137 (2017).
- M. Aghajani, H. Hadipour, and M. Akhavan, Pressure dependence of effective Coulomb interaction parameters in by first-principle calculation, Physica C 548, 61 (2018).
- www.gauss-centre.eu.
- P. Thörnig, JURECA: Data centric and booster modules implementing the modular supercomputing architecture at Jülich supercomputing centre, J. large-scale res. facilit. 7, A182 (2021).