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Holographic Meissner Effect

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arxiv 2207.07182 v2 pith:ZWFCOFWA submitted 2022-07-14 hep-th gr-qc

Holographic Meissner Effect

Makoto Natsuume , Takashi Okamura This is my paper
classification hep-th gr-qc
keywords holographicmaxwellboundaryeffectmeissnertheoryanalyticallybulk
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The holographic superconductor is the holographic dual of superconductivity, but there is no Meissner effect in the standard holographic superconductor. This is because the boundary Maxwell field is added as an external source and is not dynamical. We show the Meissner effect analytically by imposing the semiclassical Maxwell equation on the AdS boundary. Unlike in the Ginzburg-Landau (GL) theory, the extreme Type I limit cannot be reached even in the $e\to\infty$ limit where $e$ is the $U(1)$ coupling of the boundary Maxwell field. This is due to the bound current which is present even in the pure bulk Maxwell theory. In the bulk 5-dimensional case, the GL parameter and the dual GL theory are obtained analytically for the order parameter of scaling dimension 2.

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Cited by 3 Pith papers

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    Equips bottom-up holographic D-brane models with dynamical boundary gauge fields and shows that quasinormal mode dispersion relations in equilibrium and nonequilibrium states match hydrodynamics with dynamical U(1) symmetry.

  3. The dual Ginzburg-Landau theory for a holographic superfluid/superconductor: Critical dynamics

    hep-th 2026-05 unverdicted novelty 5.0

    Identifies the dual model F equations for a 5D holographic superconductor/superfluid in the probe limit, obtaining numerical coefficients exactly.