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Electric conductivity in non-Hermitian holography

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arxiv 2304.11183 v3 pith:HW7ZHPB4 submitted 2023-04-21 hep-th cond-mat.str-elquant-ph

classification hep-thcond-mat.str-elquant-ph
keywords phasept-symmetricconductivitydeformationmodelnon-hermitianphasesthree
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the phase structure and charge transport at finite temperature and chemical potential in the non-Hermitian PT-symmetric holographic model of arXiv:1912.06647. 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Hermitian Holographic Flows to Little Rip Cosmologies

    hep-th 2026-07 conditional novelty 8.0 of 10

    A holographic model of a non-Hermitian PT-symmetric QFT produces black hole interiors that are isotropic Little Rip cosmologies, separated from standard Kasner behavior by a distinctive logarithmic signature in heavy-...

  2. Selecting Complex Extremal Surfaces with the Kontsevich--Segal--Witten Criterion

    hep-th 2026-07 conditional novelty 7.0 of 10

    In AdS3, dS3, and AdS4 hyperbolic examples, the Kontsevich-Segal-Witten criterion uniquely selects a three-piece complex contour for timelike extremal surfaces, while timelike strips in AdS4 violate the criterion near...

  3. Thermal Pseudo-Entropy

    hep-th 2024-11 conditional novelty 5.0 of 10

    Thermal pseudo-entropy is the analytic continuation S(β+it) of thermal entropy, equals the pseudo-entropy of a Thermofield Double transition matrix, and its averaged real part tracks the spectral form factor.

  4. Strongly Coupled PT-Symmetric Models in Holography

    hep-th 2024-11 conditional novelty 1.0 of 10

    A review of holographic duals for strongly coupled PT-symmetric non-Hermitian QFTs, covering phase diagrams, conductivity, quenches, and PT-restoring lattice flows.

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