Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866913431727112192 |
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| author | Bian, Wen-Hao Wang, Jing |
| author_facet | Bian, Wen-Hao Wang, Jing |
| contents | We systematically investigate the intricate interplay between short-range fermion-fermion interactions and disorder scatterings beneath the superconducting dome of noncentrosymmetric nodal-line superconductors. Employing the renormalization group that unbiasedly treats all kinds of potential degrees of freedom, we establish energy-dependent coupled flows for all associated interaction parameters. Decoding the low-energy information from these coupled evolutions leads to the emergence of several intriguing behavior in the low-energy regime. At first, we identify eight distinct types of fixed points, which are determined by the competition of all interaction parameters and dictate the low-energy properties. Next, we carefully examine and unveil distinct fates of physical implications as approaching such fixed points. The density of states of quasiparticles displays a linear dependence on frequency around the first fixed point, while other fixed points present diverse frequency-dependent behavior. Compressibility and specific heat exhibit unique trends around different fixed points, with the emergence of non-Fermi-liquid behavior nearby the fifth fixed point. Furthermore, after evaluating the susceptibilities of the potential states, we find that a certain phase transition below the critical temperature can be induced when the system approaches the fifth fixed point, transitioning from the nodal-line superconducting state to another superconducting state. This research would enhance our understanding of the unique behavior in the low-energy regime of nodal-line superconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02040 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors Bian, Wen-Hao Wang, Jing Superconductivity Mesoscale and Nanoscale Physics Strongly Correlated Electrons We systematically investigate the intricate interplay between short-range fermion-fermion interactions and disorder scatterings beneath the superconducting dome of noncentrosymmetric nodal-line superconductors. Employing the renormalization group that unbiasedly treats all kinds of potential degrees of freedom, we establish energy-dependent coupled flows for all associated interaction parameters. Decoding the low-energy information from these coupled evolutions leads to the emergence of several intriguing behavior in the low-energy regime. At first, we identify eight distinct types of fixed points, which are determined by the competition of all interaction parameters and dictate the low-energy properties. Next, we carefully examine and unveil distinct fates of physical implications as approaching such fixed points. The density of states of quasiparticles displays a linear dependence on frequency around the first fixed point, while other fixed points present diverse frequency-dependent behavior. Compressibility and specific heat exhibit unique trends around different fixed points, with the emergence of non-Fermi-liquid behavior nearby the fifth fixed point. Furthermore, after evaluating the susceptibilities of the potential states, we find that a certain phase transition below the critical temperature can be induced when the system approaches the fifth fixed point, transitioning from the nodal-line superconducting state to another superconducting state. This research would enhance our understanding of the unique behavior in the low-energy regime of nodal-line superconductors. |
| title | Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors |
| topic | Superconductivity Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2402.02040 |