Mott-Enhanced Exciton Condensation in a Hubbard bilayer
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| Format: | Preprint |
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2023
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| _version_ | 1866911314728714240 |
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| author | Giuli, Samuele Amaricci, Adriano Capone, Massimo |
| author_facet | Giuli, Samuele Amaricci, Adriano Capone, Massimo |
| contents | We study the conditions to realize an excitonic condensed phase in an electron-hole bilayer system with local Hubbard-like interactions at half-filling, where we can address the interplay with Mott localization. Using Dynamical Mean-Field Theory, we find that an excitonic state is stable in a sizeable region of a phase diagram spanned by the intra-layer (U) and inter-layer (V) interactions. The latter term is expected to favour the excitonic phase which is indeed found in a slice of the phase diagram with V > U . Remarkably, we find that when U is large enough, the excitonic region extends also for U > V in contrast with naive expectations. The extended stability of the excitonic phase can be linked to in-layer Mott localization and inter-layer spin correlations. Using a mapping to a model with attractive inter-layer coupling, we fully characterize the condensate phase in terms of its superconducting counterpart, thereby addressing its coherence and correlation length. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_07348 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mott-Enhanced Exciton Condensation in a Hubbard bilayer Giuli, Samuele Amaricci, Adriano Capone, Massimo Strongly Correlated Electrons Superconductivity We study the conditions to realize an excitonic condensed phase in an electron-hole bilayer system with local Hubbard-like interactions at half-filling, where we can address the interplay with Mott localization. Using Dynamical Mean-Field Theory, we find that an excitonic state is stable in a sizeable region of a phase diagram spanned by the intra-layer (U) and inter-layer (V) interactions. The latter term is expected to favour the excitonic phase which is indeed found in a slice of the phase diagram with V > U . Remarkably, we find that when U is large enough, the excitonic region extends also for U > V in contrast with naive expectations. The extended stability of the excitonic phase can be linked to in-layer Mott localization and inter-layer spin correlations. Using a mapping to a model with attractive inter-layer coupling, we fully characterize the condensate phase in terms of its superconducting counterpart, thereby addressing its coherence and correlation length. |
| title | Mott-Enhanced Exciton Condensation in a Hubbard bilayer |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2307.07348 |