Holographic s- and p-wave superconductors from the 4D regularization of Einstein-Lovelock theory
Abstract
We investigate holographically dual descriptions of (2+1)-dimensional s-wave and p-wave superconductors in the framework of regularized four-dimensional Einstein-Lovelock gravity theories, incorporating higher curvature corrections beyond the Gauss-Bonnet sector. We first implement the 4D regularization of Einstein-Lovelock gravity with finely tuned coupling constants to include corrections up to any Kth order in curvature. The bulk geometry is constructed from exact black-brane solutions characterized by the fine-tuned Lovelock coupling α and the highest power of curvature in the Lagrangian K. We then analyze the condensation of scalar and vector operators dual to minimally coupled matter fields, focusing on two bulk-field mass prescriptions, which significantly affect the superconducting phase. Our results demonstrate that higher curvature terms significantly modify the phase structure of both s-wave and p-wave systems and enhance the sensitivity of the condensates and critical temperatures to the gravitational couplings. In both cases, the critical temperature generally increases with the maximal curvature order K, leading to higher-Tc phases compared to Einstein gravity, particularly for negative α. The coupling α effectively governs the strength of higher curvature interactions in the bulk: positive α suppresses condensation and lowers Tc, whereas negative α enhances superconducting order and promotes higher-Tc phases relative to Einstein gravity. We further study the optical conductivity and find that both the gap frequency and the ratio ωg/Tc exhibit a strong dependence on α and K, deviating from the universal Einstein-gravity result. Higher curvature effects enhance the superconducting gap scale. Notably, the p-wave system shows a stronger sensitivity to the mass-fixing prescription compared to the s-wave case.
Versions
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BibTeX
@misc{zarepour2026holographic,
title = {{Holographic $s$- and $p$-wave superconductors from the $4D$ regularization of Einstein-Lovelock theory}},
author = {Soodeh Zarepour and Ali Dehghani},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.26546},
eprint = {2606.26546},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.26546},
}
RIS
TY - UNPB
TI - Holographic s- and p-wave superconductors from the 4D regularization of Einstein-Lovelock theory
AU - Soodeh Zarepour
AU - Ali Dehghani
PY - 2026
DA - 2026/06/25
PB - arXiv
DO - 10.48550/arxiv.2606.26546
UR - https://arxiv.org/abs/2606.26546
AB - We investigate holographically dual descriptions of (2+1)-dimensional s-wave and p-wave superconductors in the framework of regularized four-dimensional Einstein-Lovelock gravity theories, incorporating higher curvature corrections beyond the Gauss-Bonnet sector. We first implement the 4D regularization of Einstein-Lovelock gravity with finely tuned coupling constants to include corrections up to any Kth order in curvature. The bulk geometry is constructed from exact black-brane solutions characterized by the fine-tuned Lovelock coupling α and the highest power of curvature in the Lagrangian K. We then analyze the condensation of scalar and vector operators dual to minimally coupled matter fields, focusing on two bulk-field mass prescriptions, which significantly affect the superconducting phase. Our results demonstrate that higher curvature terms significantly modify the phase structure of both s-wave and p-wave systems and enhance the sensitivity of the condensates and critical temperatures to the gravitational couplings. In both cases, the critical temperature generally increases with the maximal curvature order K, leading to higher-T_c phases compared to Einstein gravity, particularly for negative α. The coupling α effectively governs the strength of higher curvature interactions in the bulk: positive α suppresses condensation and lowers T_c, whereas negative α enhances superconducting order and promotes higher-T_c phases relative to Einstein gravity. We further study the optical conductivity and find that both the gap frequency and the ratio ω_g/T_c exhibit a strong dependence on α and K, deviating from the universal Einstein-gravity result. Higher curvature effects enhance the superconducting gap scale. Notably, the p-wave system shows a stronger sensitivity to the mass-fixing prescription compared to the s-wave case.
ER -