Holographic superconductors at zero density

Ren, Jie; Xie, Haodong

doi:10.1103/physrevd.107.106004

Cited by 2 publications

(3 citation statements)

References 45 publications

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“…6, 7 and 8 correspond to phase I, II and III respectively. The right panels of these figures show the convergence of the integral (55), which is used to check the validity of the sum rule.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In the weakly coupled limit, σ Q (and actually σ i (ω)) originates from the momentum-conserving scattering between electrons and holes [51] and is thus incoherent with the momentum flow, hence the name. The superconducting contribution σ s (ω) = ρ s q 2 (πδ(ω) + i/ω) is induced by the condensation of normal state charge carriers [52][53][54][55], where q is the charge of Cooper pairs. The coherent conductivity σ c (ω) originates from the charge flow that is coherent to the momentum flow.…”

Section: Phasementioning

confidence: 99%

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Electric conductivity in non-Hermitian holography

Xian,

Rodríguez Fernández,

Chen

et al. 2024

SciPost Phys.

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We study the phase structure and charge transport at finite temperature and chemical potential in the non-Hermitian \mathcal{PT}𝒫𝒯-symmetric holographic model of [SciPost Phys. 9, 032 (2020)]. The non-Hermitian \mathcal{PT}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}𝒫𝒯-symmetric phase, unstable \mathcal{PT}𝒫𝒯-symmetric phase, and an unstable \mathcal{PT}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}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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Section: Numerical Resultsmentioning

confidence: 99%

Section: Phasementioning

confidence: 99%

Electric conductivity in non-Hermitian holography

Xian,

Rodríguez Fernández,

Chen

et al. 2024

SciPost Phys.

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“…It implies the entropy is proportional to near zero temperature with local quantum criticality [37,38]. It is similar to more realistic strange metals [39,40]. In order to simulate a more realistic holographic superconductor, we construct a holographic superconducting dome in the Gubser-Rocha model with two charges.…”

Section: Introductionmentioning

confidence: 99%

Doped holographic superconductors in the Gubser–Rocha model

Zhao,

Cai,

Ishigaki

2024

Commun. Theor. Phys.

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We construct a doped holographic superconductor in the Gubser-Rocha model, and realize a superconducting dome in the middle of the temperature-doping phase diagram. It is worth noting that unlike the previous researches, the profile of our dome shrinks inward near zero temperature. From the numerical observation for the coupling dependence of the phase diagram, we find that the coupling between the two gauge fields plays a crucial role in the formation of dome. We also analytically calculate the DC conductivity of the normal phase of the system in the momentum dissipation and obtain the resistivity which is proportional to temperature. The AC conductivity is calculated numerically.

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Holographic superconductors at zero density

Cited by 2 publications

References 45 publications

Electric conductivity in non-Hermitian holography

Electric conductivity in non-Hermitian holography

Doped holographic superconductors in the Gubser–Rocha model

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