Gutzwiller approximation for paramagnetic ionic Hubbard model: Analytic expression for band-Mott insulator transition
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914195818151936 |
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| author | Wysokiński, Marcin M. |
| author_facet | Wysokiński, Marcin M. |
| contents | The ionic Hubbard model is a paradigmatic setup for studying the competition between band and Mott insulating behavior. Within the variationally exact in infinite dimensions Gutzwiller approximation, we derive a compact analytic expression for the phase boundary between Mott and band insulator. While the method reproduces the expected band-Mott insulator phenomenology, it does not capture the correlated metallic state at finite staggered potential found for example in dynamical mean-field theory. This absence highlights that the metallic phase originates from incoherent Hubbard-band physics rather than Fermi-liquid behavior well captured by Gutzwiller approximation. Our formulation establishes a concise variational framework to ionic Hubbard model, with natural extensions to nonequilibrium setups and spin-exchange dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_10096 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gutzwiller approximation for paramagnetic ionic Hubbard model: Analytic expression for band-Mott insulator transition Wysokiński, Marcin M. Strongly Correlated Electrons The ionic Hubbard model is a paradigmatic setup for studying the competition between band and Mott insulating behavior. Within the variationally exact in infinite dimensions Gutzwiller approximation, we derive a compact analytic expression for the phase boundary between Mott and band insulator. While the method reproduces the expected band-Mott insulator phenomenology, it does not capture the correlated metallic state at finite staggered potential found for example in dynamical mean-field theory. This absence highlights that the metallic phase originates from incoherent Hubbard-band physics rather than Fermi-liquid behavior well captured by Gutzwiller approximation. Our formulation establishes a concise variational framework to ionic Hubbard model, with natural extensions to nonequilibrium setups and spin-exchange dynamics. |
| title | Gutzwiller approximation for paramagnetic ionic Hubbard model: Analytic expression for band-Mott insulator transition |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.10096 |