Ground states of holographic superconductors
- 9 November 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 80 (10), 105007
- https://doi.org/10.1103/physrevd.80.105007
Abstract
We investigate the ground states of the Abelian Higgs model in with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the electric charge under the Abelian gauge field. For W-shaped potentials with symmetry-breaking minima, an analysis of infrared asymptotics suggests that the ground state has emergent conformal symmetry in the infrared when the charge of the complex scalar is large enough. But when this charge is too small, the likeliest ground state has Lifshitz-like scaling in the infrared. For positive mass quadratic potentials, Lifshitz-like scaling is the only possible infrared behavior for constant nonzero values of the scalar. The approach to Lifshitz-like scaling is shown in many cases to be oscillatory.
Keywords
This publication has 19 references indexed in Scilit:
- Superconductors from SuperstringsPhysical Review Letters, 2009
- Low-temperature behavior of the Abelian Higgs model in Anti-de Sitter spaceJournal of High Energy Physics, 2009
- Gravity Dual to a Quantum Critical Point with Spontaneous Symmetry BreakingPhysical Review Letters, 2009
- Holographic superconductorsJournal of High Energy Physics, 2008
- Breaking an Abelian gauge symmetry near a black hole horizonPhysical Review D, 2008
- Building a Holographic SuperconductorPhysical Review Letters, 2008
- Ohm’s law at strong coupling:duality and the cyclotron resonancePhysical Review D, 2007
- Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holesPhysical Review B, 2007
- Quantum critical transport, duality, and M theoryPhysical Review D, 2007
- Phase transitions near black hole horizonsClassical and Quantum Gravity, 2005