Ginzburg-Landau Approach to the Vortex-Glass Transitions due to Line-Like Disorder : Condensed Matter: Electronic Properties, etc.

概要

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Vortex-glass transitions induced by a line-like disorder, the so-called Bose-glass (BG) transition and two-types of Gaussian-splayed-glass (GSG) transition, are studied on the basis of the lowest Landau level (LLL) approach to the Ginzburg-Landau (GL) model. For each of these transitions, we estimate the transition point and derive critical properties of response quantities just above the transition. A particular attention is paid to the scaling behaviors near GSG transitions of response quantities to a gauge disturbance δA_⊥ perpendicular to the applied magnetic field B, which are difficult to be derived without explicit calculation. As an example, it is found for the case of planar GSG transition with a well-defined splay plane that the tilt modulus for a tilt parallel to the splay plane has no critical divergence, as in the vortex-glass (VG) transition foe to a point disorder, while the corresponding modulus for an out-of-plane tilt is divergent as in BG case and proportional to the correlation length of this transition. The responses to a gauge disturbance A_z parallel to B are also briefly discussed. It is pointed out that, as a result of a field dependence of glass transition temperature, any glass transition can suppress the first order freezing transition at sufficiency low fields but within LLL approach.
社団法人日本物理学会の論文
2000-02-15