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

Journal Article · Sat May 15 00:00:00 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, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.106001; (c) 2010 The American Physical Society; 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
FOUR-DIMENSIONAL CALCULATIONS
GINZBURG-LANDAU THEORY
GRAVITATION
HOLOGRAPHY
MAGNETIC FIELDS
P WAVES
PENETRATION DEPTH
PHASE TRANSFORMATIONS
SPACE-TIME
SU-2 GROUPS
SUPERCONDUCTORS
THREE-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY
DIMENSIONS
LENGTH
LIE GROUPS
MATHEMATICAL SPACE
PARTIAL WAVES
PHYSICAL PROPERTIES
SPACE
SU GROUPS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE