Non-Fermi-Liquid/Marginal-Fermi-Liquid Signatures Induced by Van Hove Singularity
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917570652667904 |
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| author | Xing, Yi-Hui Liu, Wu-Ming |
| author_facet | Xing, Yi-Hui Liu, Wu-Ming |
| contents | We theoretically study the two-dimensional metal that is coupled to critical magnons and features van Hove singularities on the Fermi surface. When there is only translationally invariant SYK-liked Yukawa interaction, van Hove points suppress the contribution from the part of the Fermi surface away from them, dominating and exhibiting non-Fermi-liquid behavior. When introducing disordered Yukawa coupling, it leads to a crossover from non-Fermi-liquid to marginal-Fermi-liquid, and the marginal-Fermi-liquid region exhibits the $T\ln (1/T)$ specific heat and temperature-linear resistivity of strange metal. By solving the gap equation, we provide the critical temperature for superconductor induced by van Hove singularities and point out the possible emergence of pair-density-wave superconductor. Our theory may become a new mechanism for understanding non-Fermi-liquid or marginal-Fermi-liquid phenomenons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10707 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Fermi-Liquid/Marginal-Fermi-Liquid Signatures Induced by Van Hove Singularity Xing, Yi-Hui Liu, Wu-Ming Strongly Correlated Electrons Superconductivity We theoretically study the two-dimensional metal that is coupled to critical magnons and features van Hove singularities on the Fermi surface. When there is only translationally invariant SYK-liked Yukawa interaction, van Hove points suppress the contribution from the part of the Fermi surface away from them, dominating and exhibiting non-Fermi-liquid behavior. When introducing disordered Yukawa coupling, it leads to a crossover from non-Fermi-liquid to marginal-Fermi-liquid, and the marginal-Fermi-liquid region exhibits the $T\ln (1/T)$ specific heat and temperature-linear resistivity of strange metal. By solving the gap equation, we provide the critical temperature for superconductor induced by van Hove singularities and point out the possible emergence of pair-density-wave superconductor. Our theory may become a new mechanism for understanding non-Fermi-liquid or marginal-Fermi-liquid phenomenons. |
| title | Non-Fermi-Liquid/Marginal-Fermi-Liquid Signatures Induced by Van Hove Singularity |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2401.10707 |