Analytical Studies on Holographic Insulator/Superconductor Phase Transitions

Details Analytical Studies on Holographic Insulator/Superconductor Phase Transitions Analytical Studies on Holographic Insulator/Superconductor Phase Transitions

2011-03-29

arxiv.org/abs/1103.5568v2

Phys.Rev.D83:126007,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages; 1 figure; correct some typos and some references added

Scientific paper

10.1103/PhysRevD.83.126007

We investigate the analytical properties of the s-wave and p-wave holographic insulator/superconductor phase transitions at zero temperature. In the probe limit, we analytically calculate the critical chemical potentials at which the insulator/superconductor phase transition occurs. Those resulting analytical values perfectly match the previous numerical values. We also study the relations between the condensation values and the chemical potentials near the critical point. We find that the critical exponent for condensation operator is 1/2 for both models. The linear relations between the charge density and the chemical potential near the critical point are also deduced in this paper, which are qualitatively consistent with the previous numerical results.

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