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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2602.18924 |
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| _version_ | 1866910165021753344 |
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| author | Van Quyet, Hoang |
| author_facet | Van Quyet, Hoang |
| contents | We investigate the critical properties and phase structure of excited states in a holographic superconductor model within the framework of Varying Central Charge Thermodynamics, where the cosmological constant serves as a fundamental parameter controlling the number of degrees of freedom in the boundary conformal field theory. Employing Born-Infeld nonlinear electrodynamics, we explore how the nonlinear parameter $b$ affects the condensation of the ground state (GS) and the two lowest excited states (ES1, ES2) in the background of a spherically symmetric Schwarzschild-AdS black hole. A state is classified as possessing a \textbf{hard gap} if its optical conductivity exhibits $\mathrm{Re}σ(ω) = 0$ for $ω< ω_g$, indicating a hard energy gap in the excitation spectrum and the Meissner effect. In contrast, a \textbf{gapless superconductor} possesses a non-zero order parameter but lacks a hard gap, with $\mathrm{Re}σ(ω) \neq 0$ as $ω\to 0$. Our central finding reveals that the emergence of gapless phases in the excited states represents a genuine physical phenomenon arising from the competition between Born-Infeld nonlinear screening effects and the spatial curvature of the black hole geometry, not from numerical artifacts. Specifically, when the pressure $P$ exceeds the critical pressure $P_c$, both GS and ES1 are gapped superconductors with hard energy gaps while ES2 is a gapless superconductor. However, when $P \leq P_c$, only GS remains gapped while both ES1 and ES2 condense into gapless phases. This curvature-controlled switching of superconducting properties provides a novel mechanism for engineering gapless superconductivity in strongly coupled systems through variation of the boundary CFT degrees of freedom, with potential implications for understanding unconventional high-temperature superconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18924 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Criticality and Phase Structures of Excited Holographic Superconductors in Nonlinear Electrodynamics Van Quyet, Hoang High Energy Physics - Theory We investigate the critical properties and phase structure of excited states in a holographic superconductor model within the framework of Varying Central Charge Thermodynamics, where the cosmological constant serves as a fundamental parameter controlling the number of degrees of freedom in the boundary conformal field theory. Employing Born-Infeld nonlinear electrodynamics, we explore how the nonlinear parameter $b$ affects the condensation of the ground state (GS) and the two lowest excited states (ES1, ES2) in the background of a spherically symmetric Schwarzschild-AdS black hole. A state is classified as possessing a \textbf{hard gap} if its optical conductivity exhibits $\mathrm{Re}σ(ω) = 0$ for $ω< ω_g$, indicating a hard energy gap in the excitation spectrum and the Meissner effect. In contrast, a \textbf{gapless superconductor} possesses a non-zero order parameter but lacks a hard gap, with $\mathrm{Re}σ(ω) \neq 0$ as $ω\to 0$. Our central finding reveals that the emergence of gapless phases in the excited states represents a genuine physical phenomenon arising from the competition between Born-Infeld nonlinear screening effects and the spatial curvature of the black hole geometry, not from numerical artifacts. Specifically, when the pressure $P$ exceeds the critical pressure $P_c$, both GS and ES1 are gapped superconductors with hard energy gaps while ES2 is a gapless superconductor. However, when $P \leq P_c$, only GS remains gapped while both ES1 and ES2 condense into gapless phases. This curvature-controlled switching of superconducting properties provides a novel mechanism for engineering gapless superconductivity in strongly coupled systems through variation of the boundary CFT degrees of freedom, with potential implications for understanding unconventional high-temperature superconductors. |
| title | Criticality and Phase Structures of Excited Holographic Superconductors in Nonlinear Electrodynamics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.18924 |