Competition and coexistence of superconductivity and nematic order in a two-dimensional electron gas with quadrupolar interactions
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| Format: | Preprint |
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2026
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| _version_ | 1866918457846530048 |
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| author | Lopes, Nei Vale, Guilherme da Silva do Barci, Daniel G. |
| author_facet | Lopes, Nei Vale, Guilherme da Silva do Barci, Daniel G. |
| contents | We investigate the interplay between superconductivity and nematic order in a two-dimensional electron gas with competing pairing and quadrupolar forward-scattering interactions. The model includes both $s$-wave and $d$-wave superconducting channels. We compute the mean-field free energy density and determine the phase diagrams as functions of interaction strengths and temperature by solving a set of coupled self-consistent equations. At zero-temperature, we find that the nematic order competes strongly with $d$-wave superconductivity, leading to a direct first-order phase transition, while its interplay with $s$-wave pairing allows for a coexistence phase characterized by an anisotropic Fermi surface with a uniform superconducting gap. At finite-temperatures, quadrupolar interactions promote the emergence of additional superconducting components, giving rise to regimes where $s$-wave, $d$-wave, and nematic orders coexist. Our results highlight the role of symmetry and interaction strength in shaping the phase structure and provide a minimal framework to describe intertwined nematic and superconducting phases in correlated electron systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_18777 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Competition and coexistence of superconductivity and nematic order in a two-dimensional electron gas with quadrupolar interactions Lopes, Nei Vale, Guilherme da Silva do Barci, Daniel G. Superconductivity We investigate the interplay between superconductivity and nematic order in a two-dimensional electron gas with competing pairing and quadrupolar forward-scattering interactions. The model includes both $s$-wave and $d$-wave superconducting channels. We compute the mean-field free energy density and determine the phase diagrams as functions of interaction strengths and temperature by solving a set of coupled self-consistent equations. At zero-temperature, we find that the nematic order competes strongly with $d$-wave superconductivity, leading to a direct first-order phase transition, while its interplay with $s$-wave pairing allows for a coexistence phase characterized by an anisotropic Fermi surface with a uniform superconducting gap. At finite-temperatures, quadrupolar interactions promote the emergence of additional superconducting components, giving rise to regimes where $s$-wave, $d$-wave, and nematic orders coexist. Our results highlight the role of symmetry and interaction strength in shaping the phase structure and provide a minimal framework to describe intertwined nematic and superconducting phases in correlated electron systems. |
| title | Competition and coexistence of superconductivity and nematic order in a two-dimensional electron gas with quadrupolar interactions |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2604.18777 |