Report on scipost_202306_00021v1

Abstract

We study the phase structure and charge transport at finite temperature and chemical potential in the non-Hermitian PT -symmetric holographic model of [1].The non-Hermitian 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 PT -symmetric phase, unstable PT -symmetric phase, and an unstable 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 PT -symmetric deformation, derive its phase structure and condensation pattern, and find a zero frequency spectral weight analogous to the holographic model.

Authors 5

1. Zhuo-Yu Xian

   University of Würzburg · Complexity, Topology and Dynamics in Quantum Matter

   Affiliation as printed

   Institute for Theoretical Physics and Astrophysics , Julius-Maximilians-Universität Würzburg , Am Hubland , 97074 Würzburg , Germany

   Würzburg-Dresden Cluster of Excellence ct . qmat

   Institute for Theoretical Physics and Astrophysics, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

   Würzburg-Dresden Cluster of Excellence ct.qmat

2. David Rodríguez Fernández Aachen Instituut-Lorentz for Theoretical Physics

   Leiden University · Universidad Autónoma de Madrid

   Affiliation as printed

   Departamento de Física Teórica , Universidad Autónoma de Madrid , Campus de Cantoblanco , 28049 Madrid , Spain

   Instituut-Lorentz for Theoretical Physics , Universiteit Leiden , P. O. Box 9506 , 2300 RA Leiden , The Netherlands

   Departamento de Física Teórica, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain

   Instituut-Lorentz for Theoretical Physics, Universiteit Leiden, P. O. Box 9506, 2300 RA Leiden, The Netherlands

3. Zhaohui Chen

   University of Würzburg · Complexity, Topology and Dynamics in Quantum Matter

   Affiliation as printed

   Institute for Theoretical Physics and Astrophysics, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

   Würzburg-Dresden Cluster of Excellence ct.qmat

4. Yang Liu

   University of Würzburg

   Affiliation as printed

   Institute for Theoretical Physics and Astrophysics , Julius-Maximilians-Universität Würzburg , Am Hubland , 97074 Würzburg , Germany

   Institute for Theoretical Physics and Astrophysics, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

5. René Meyer

   University of Würzburg · Complexity, Topology and Dynamics in Quantum Matter

   Affiliation as printed

   Institute for Theoretical Physics and Astrophysics , Julius-Maximilians-Universität Würzburg , Am Hubland , 97074 Würzburg , Germany

   Würzburg-Dresden Cluster of Excellence ct . qmat

   Institute for Theoretical Physics and Astrophysics, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

   Würzburg-Dresden Cluster of Excellence ct.qmat