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Marginal pinning of vortices at high temperature | | M. Mueller
; D.A. Gorokhov
; G. Blatter
; | | Date: |
12 Apr 2001 | | Journal: | Phys. Rev. B 64, 134523 (2001) | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics; Superconductivity | cond-mat.dis-nn cond-mat.stat-mech cond-mat.supr-con | | Abstract: | We analyze the competition between thermal fluctuations and pinning of vortices in bulk type II superconductors subject to point-like disorder and derive an expression for the temperature dependence of the pinning length L_c(T) which separates different types of single vortex wandering. Given a disorder potential with a basic scale xi and a correlator K_0(u) sim K_0 (u/xi)^{-eta} ln^alpha (u/xi) we determine the dependence of L_c(T) on the correlator range: correlators with eta > 2 (short-range) and eta <2 (long-range) lead to the known results L_c(T) sim L_c(0) exp[C T^3] and L_c(T) sim L_c(0) (C T)^{(4+beta)/(2-beta)}, respectively. Using functional renormalization group we show that for eta =2 the result takes the interpolating form L_c(T) sim L_c(0) exp[C T^{3/(2+alpha)}]. Pinning of vortices in bulk type II superconductors involves a long-range correlator with eta=2, alpha=1 on intermediate scales xi | | Source: | arXiv, cond-mat/0104232 | | Services: | Forum | Review | PDF | Favorites | |
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