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High Energy Physics - Theory

arXiv:1102.0977 (hep-th)
[Submitted on 4 Feb 2011 (v1), last revised 5 Sep 2011 (this version, v3)]

Title:Holographic Multi-Band Superconductor

Authors:Ching-Yu Huang, Feng-Li Lin, Debaprasad Maity
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Abstract:We propose a gravity dual for the holographic superconductor with multi-band carriers. Moreover, the currents of these carriers are unified under a global flavored SO(3) symmetry, which is dual to the bulk SO(3) gauge symmetry. We study the phase diagram of our model, and find it qualitatively agrees with the one for the realistic 2-band superconductor, such as $MgB_2$. We also identify the bulk field dual to the electromagnetic $U(1)_{EM}$ current, which should be invariant under the global flavored SO(3) rotation. We then evaluate the corresponding holographic conductivity and find the expected mean field like behaviors.
Comments: 13 pages, 5 figures, v2. Major revision on the identification of U(1)_EM for evaluating the holographic conductivity in sec. 4 & add an appendix for inter-band conductivity matrix, v3. minor changes to match the published version on PLB
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Superconductivity (cond-mat.supr-con)
Cite as: arXiv:1102.0977 [hep-th]
  (or arXiv:1102.0977v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1102.0977
Journal reference: Phys.Lett.B703:633-640,2011
Related DOI: https://doi.org/10.1016/j.physletb.2011.08.053

Submission history

From: Feng-Li Lin [view email]
[v1] Fri, 4 Feb 2011 17:31:40 UTC (171 KB)
[v2] Mon, 21 Mar 2011 16:00:47 UTC (1,896 KB)
[v3] Mon, 5 Sep 2011 02:38:01 UTC (1,898 KB)
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