TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.1.004
TI  - Electric conductivity in non-Hermitian holography
PY  - 2024/01/05
UR  - https://www.scipost.org/SciPostPhys.16.1.004
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 1
SP  - 004
A1  - Xian, Zhuo-Yu
AU  - Rodríguez Fernández, David
AU  - Chen, Zhaohui
AU  - Liu, Yang
AU  - Meyer, René
AB  - We study the phase structure and charge transport at finite temperature and chemical potential in the non-Hermitian $\mathcal{PT}$-symmetric holographic model of [SciPost Phys. 9, 032 (2020)]. The non-Hermitian $\mathcal{PT}$-symmetric deformation is realized by promoting the parameter of a global U(1) symmetry to a complex number. Depending on the strength of the deformation, we find three phases: stable $\mathcal{PT}$-symmetric phase, unstable $\mathcal{PT}$-symmetric phase, and an unstable $\mathcal{PT}$-symmetry broken phase. In the three phases, the square of the condensate and also the spectral weight of the AC conductivity at zero frequency are, respectively, positive, negative, and complex. We check that the Ferrell-Glover-Tinkham sum rule for the AC conductivity holds in all the three phases. We also investigate a complexified U(1) rotor model with $\mathcal{PT}$-symmetric deformation, derive its phase structure and condensation pattern, and find a zero frequency spectral weight analogous to the holographic model.
ER  -

@Article{10.21468/SciPostPhys.16.1.004,
	title={{Electric conductivity in non-Hermitian holography}},
	author={Zhuo-Yu Xian and David Rodríguez Fernández and Zhaohui Chen and Yang Liu and René Meyer},
	journal={SciPost Phys.},
	volume={16},
	pages={004},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.1.004},
	url={https://scipost.org/10.21468/SciPostPhys.16.1.004},
}