English

Holographic Multi-Band Superconductor

High Energy Physics - Theory 2015-03-18 v3 Strongly Correlated Electrons Superconductivity

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 MgB2MgB_2. We also identify the bulk field dual to the electromagnetic U(1)EMU(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.

Keywords

Cite

@article{arxiv.1102.0977,
  title  = {Holographic Multi-Band Superconductor},
  author = {Ching-Yu Huang and Feng-Li Lin and Debaprasad Maity},
  journal= {arXiv preprint arXiv:1102.0977},
  year   = {2015}
}

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

R2 v1 2026-06-21T17:21:53.773Z