Superconducting coherence length and magnetic penetration depth of a p-wave holographic superconductor

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.106001· OSTI ID:21409787

Huabi, Zeng; Zheyong, Fan ^[1]; Hongshi, Zong ^[1]

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1. Department of Physics, Nanjing University, Nanjing 210093 (China)

A classical SU(2) Einstein-Yang-Mills theory in (3+1)-dimensional anti-de Sitter spacetime is believed to be dual to a p-wave superconductor in (2+1)-dimensional flat spacetime. In order to calculate the superconducting coherence length {xi} of the holographic superconductor near the superconducting phase transition point, we make a perturbative study of the gravity theory analytically. The superconducting coherence length {xi} is found to be proportional to (1-T/T{sub c}){sup -1/2} near the critical temperature T{sub c}. We also obtain the magnetic penetration depth {lambda}{proportional_to}(T{sub c}-T){sup 1/2} by adding a small external homogeneous magnetic field. The results agree with the Ginzburg-Landau theory.

• OSTI ID: 21409787
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTI DE SITTER GROUP
ANTI DE SITTER SPACE
COHERENCE LENGTH
CRITICAL TEMPERATURE
DIMENSIONS
FOUR-DIMENSIONAL CALCULATIONS
GINZBURG-LANDAU THEORY
GRAVITATION
HOLOGRAPHY
LENGTH
LIE GROUPS
MAGNETIC FIELDS
MATHEMATICAL SPACE
P WAVES
PARTIAL WAVES
PENETRATION DEPTH
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SPACE
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SUPERCONDUCTORS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
THREE-DIMENSIONAL CALCULATIONS
TRANSITION TEMPERATURE
YANG-MILLS THEORY