Kondo breakdown induced by the non-Hermitian complex hybridization
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arXiv
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| Formato: | Preprint |
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2025
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| _version_ | 1866917036058214400 |
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| author | Yamamoto, Kazuki Nakagawa, Masaya Kawakami, Norio |
| author_facet | Yamamoto, Kazuki Nakagawa, Masaya Kawakami, Norio |
| contents | Recently, a non-Hermitian Anderson impurity model with one-body loss has been studied in [Phys. Rev. B 111, 125157 (2025)}], and it has been demonstrated that the renormalization effect generated by strong correlations counterintuitively changes the nature of dissipation into an emergent many-body dissipation that causes a Kondo breakdown. In a closely related context, it is also known that two-body loss in a non-Hermitian Kondo model triggers the Kondo breakdown. To elucidate the essence of these phenomena, we study the Anderson impurity model with a non-Hermitian complex hybridization as an effective model that provides a simple understanding of the Kondo breakdown. Using the slave-boson mean-field theory, we show that this model can explain the Kondo breakdown with a single complex parameter. Furthermore, we provide the exact Bethe ansatz solutions that support the results obtained by the slave-boson mean-field theory. Finally, we point out that the Lehmann representation for the non-Hermitian Green function cannot be obtained by the analytic continuation to the complex energy upon the Kondo breakdown, where the analyticity of the non-Hermitian Green function in the half-complex-$ω$ plane no longer holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kondo breakdown induced by the non-Hermitian complex hybridization Yamamoto, Kazuki Nakagawa, Masaya Kawakami, Norio Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics Recently, a non-Hermitian Anderson impurity model with one-body loss has been studied in [Phys. Rev. B 111, 125157 (2025)}], and it has been demonstrated that the renormalization effect generated by strong correlations counterintuitively changes the nature of dissipation into an emergent many-body dissipation that causes a Kondo breakdown. In a closely related context, it is also known that two-body loss in a non-Hermitian Kondo model triggers the Kondo breakdown. To elucidate the essence of these phenomena, we study the Anderson impurity model with a non-Hermitian complex hybridization as an effective model that provides a simple understanding of the Kondo breakdown. Using the slave-boson mean-field theory, we show that this model can explain the Kondo breakdown with a single complex parameter. Furthermore, we provide the exact Bethe ansatz solutions that support the results obtained by the slave-boson mean-field theory. Finally, we point out that the Lehmann representation for the non-Hermitian Green function cannot be obtained by the analytic continuation to the complex energy upon the Kondo breakdown, where the analyticity of the non-Hermitian Green function in the half-complex-$ω$ plane no longer holds. |
| title | Kondo breakdown induced by the non-Hermitian complex hybridization |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2510.20186 |