The 2D Lorentz-violating fermionic Casimir effect under thermal conditions
Abstract
In the present work, we study a fermionic Lorentz invariance violation (LIV) theory with a CPT-even extension and analyze its impact on the Casimir effect under the MIT bag boundary condition model in a low-dimensional setting, where results are obtained without any approximations for a null-temperature system. Moreover, the Matsubara formalism is applied to derive closed expressions for the influence of temperature on the physical observables: Casimir energy, Casimir force, and entropy associated with the system in a LIV context. For each thermal observable, the influence of the LIV correction term is considered in the analysis of both low- and high-temperature regimes. Additionally, we construct a condensed matter analogue using the SSH model, where nonlinear fermionic dispersion and boundary-induced vacuum energy emerge, reproducing the analytical structure of the LIV Casimir effect.
Cite
@article{arxiv.2504.11430,
title = {The 2D Lorentz-violating fermionic Casimir effect under thermal conditions},
author = {K. E. L. de Farias and M. A. Anacleto and Iver Brevik and F. A. Brito and E. Passos and Amilcar Queiroz and João R. L. Santos},
journal= {arXiv preprint arXiv:2504.11430},
year = {2025}
}
Comments
14 pages, 7 figures. Version accepted for publication in EPJ+