ModMax Electrodynamics and Holographic Magnetotransport

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Hauptverfasser: Barrientos, José, Cáceres, Nicolás, Diaz, Felipe, Hernandez-Vera, Ulises
Format: Preprint
Veröffentlicht: 2025
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author Barrientos, José
Cáceres, Nicolás
Diaz, Felipe
Hernandez-Vera, Ulises
author_facet Barrientos, José
Cáceres, Nicolás
Diaz, Felipe
Hernandez-Vera, Ulises
contents We study magnetotransport in a holographic model where ModMax nonlinear electrodynamics is coupled to Einstein anti--de Sitter gravity. To incorporate momentum relaxation, we introduce spatially linear free scalar fields that break translational symmetry, resulting in an anisotropic medium. Using linear response theory, we compute the DC conductivity matrix in the presence of an external magnetic field, expressing the conductivities in terms of horizon data. Our results demonstrate how the nonlinear ModMax parameter modifies charge transport, particularly influencing the Hall angle and Nernst signal. The nonlinear corrections introduce distinct deviations in both longitudinal and Hall conductivities while preserving the characteristic temperature scaling of strange metals, offering new insights into strongly coupled systems with nonlinear electromagnetic interactions. Notably, the Nernst signal reproduces that of high-$T_c$ cuprate superconductors showing a superconducting dome and a normal phase, with the ModMax deformation parameter tuning critical and onset temperatures. In the strongly nonlinear regime, we find evidence of an exotic state dominated by quasiparticle excitations in the dual material.
format Preprint
id arxiv_https___arxiv_org_abs_2506_02884
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ModMax Electrodynamics and Holographic Magnetotransport
Barrientos, José
Cáceres, Nicolás
Diaz, Felipe
Hernandez-Vera, Ulises
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We study magnetotransport in a holographic model where ModMax nonlinear electrodynamics is coupled to Einstein anti--de Sitter gravity. To incorporate momentum relaxation, we introduce spatially linear free scalar fields that break translational symmetry, resulting in an anisotropic medium. Using linear response theory, we compute the DC conductivity matrix in the presence of an external magnetic field, expressing the conductivities in terms of horizon data. Our results demonstrate how the nonlinear ModMax parameter modifies charge transport, particularly influencing the Hall angle and Nernst signal. The nonlinear corrections introduce distinct deviations in both longitudinal and Hall conductivities while preserving the characteristic temperature scaling of strange metals, offering new insights into strongly coupled systems with nonlinear electromagnetic interactions. Notably, the Nernst signal reproduces that of high-$T_c$ cuprate superconductors showing a superconducting dome and a normal phase, with the ModMax deformation parameter tuning critical and onset temperatures. In the strongly nonlinear regime, we find evidence of an exotic state dominated by quasiparticle excitations in the dual material.
title ModMax Electrodynamics and Holographic Magnetotransport
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2506.02884