Integrable Model of a Superconductor with non-Fermi liquid and Mott Phases
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909997999325184 |
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| author | M, Santhosh Dukelsky, Jorge Ortiz, Gerardo |
| author_facet | M, Santhosh Dukelsky, Jorge Ortiz, Gerardo |
| contents | We present and analyze an exactly solvable interacting fermionic pairing model, which features interactions that entangle states at momenta $\mathbf{k}$ and $-\mathbf{k}$. These interactions give rise to novel correlated ground states, leading to a rich phase diagram that includes superconducting, multiple metallic, and Mott-insulating phases. At finite interaction strengths, we observe the emergence of multiple many-body Fermi surfaces, which violate Luttinger's theorem and challenge the conventional Landau-Fermi liquid paradigm. A distinguishing feature of our model is that it remains quantum integrable, even with the addition of pairing interactions of various symmetries, setting it apart from the Hatsugai-Kohmoto model. Our results provide an analytically tractable framework for studying strong correlation effects that give rise to fractionalized excitations and unconventional superconductivity, offering valuable insights into a broad class of integrable many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10684 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integrable Model of a Superconductor with non-Fermi liquid and Mott Phases M, Santhosh Dukelsky, Jorge Ortiz, Gerardo Strongly Correlated Electrons Materials Science Quantum Gases Superconductivity Quantum Physics We present and analyze an exactly solvable interacting fermionic pairing model, which features interactions that entangle states at momenta $\mathbf{k}$ and $-\mathbf{k}$. These interactions give rise to novel correlated ground states, leading to a rich phase diagram that includes superconducting, multiple metallic, and Mott-insulating phases. At finite interaction strengths, we observe the emergence of multiple many-body Fermi surfaces, which violate Luttinger's theorem and challenge the conventional Landau-Fermi liquid paradigm. A distinguishing feature of our model is that it remains quantum integrable, even with the addition of pairing interactions of various symmetries, setting it apart from the Hatsugai-Kohmoto model. Our results provide an analytically tractable framework for studying strong correlation effects that give rise to fractionalized excitations and unconventional superconductivity, offering valuable insights into a broad class of integrable many-body systems. |
| title | Integrable Model of a Superconductor with non-Fermi liquid and Mott Phases |
| topic | Strongly Correlated Electrons Materials Science Quantum Gases Superconductivity Quantum Physics |
| url | https://arxiv.org/abs/2510.10684 |