Typical versus average helicity modulus in the three-dimensional gauge glass: Understanding the vortex glass phase

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dc.creatorKatzgraber, Helmut G.
dc.creatorWuertz, D.
dc.creatorBlatter, G.
dc.date2006-12-20
dc.date2007-06-21
dc.date.accessioned2026-07-07T08:11:24Z
dc.date.available2026-07-07T08:11:24Z
dc.descriptionWe numerically compute the helicity modulus of the three-dimensional gauge glass by Monte Carlo simulations. Because the average free energy is independent of a twist angle, it is expected that the average helicity modulus, directly related to the superfluid density, vanishes when simulations are performed with periodic boundary conditions. This is not necessarily the case for the typical (median) value, which is nonzero, because the distribution of the helicity modulus among different disorder realizations is very asymmetric. We show that the data for the helicity modulus distribution are well described by a generalized extreme-value distribution with a nonzero location parameter (most probable value). A finite-size scaling analysis of the location parameter yields a critical temperature and critical exponents in agreement with previous results. This suggests that the location parameter is a good observable. There have been conflicting claims as to whether the superfluid density vanishes in the vortex glass phase, with Fisher et al. [Phys. Rev. B 43, 130 (1991)] arguing that it is finite and Korshunov [Phys. Rev. B 63, 174514 (2001)] predicting that it is zero. Because the gauge glass is commonly used to describe the vortex glass in high-temperature superconductors, we discuss this issue in light of our results on the gauge glass.
dc.description8 pages, 9 figures, 1 table
dc.identifierhttps://arxiv.org/abs/cond-mat/0612511
dc.identifierhttp://arxiv.org/abs/cond-mat/0612511
dc.identifierPhys. Rev. B 75, 214511 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.214511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132110
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleTypical versus average helicity modulus in the three-dimensional gauge glass: Understanding the vortex glass phase
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