TY - JOUR

T1 - Finite-size effects in vortex localization

AU - Shnerb, Nadav M.

PY - 1998

Y1 - 1998

N2 - The equilibrium properties of flux lines pinned by columnar disorder are studied, using the analogy with the time evolution of a diffusing scalar density in a randomly amplifying medium. Near (Formula presented), the physical features of the vortices in the localized phase are shown to be determined by the density of states near the band edge. As a result, (Formula presented) is inversely proportional to the logarithm of the sample size, and the screening length of the perpendicular magnetic field decreases with temperature. For large tilt the extended ground state turns out to wander in the plane perpendicular to the defects with exponents corresponding to a directed polymer in a random medium, and the energy difference between two competing metastable states in this case is extensive. The divergence of the effective potential associated with strong pinning centers as the tilt approaches its critical value is discussed as well.

AB - The equilibrium properties of flux lines pinned by columnar disorder are studied, using the analogy with the time evolution of a diffusing scalar density in a randomly amplifying medium. Near (Formula presented), the physical features of the vortices in the localized phase are shown to be determined by the density of states near the band edge. As a result, (Formula presented) is inversely proportional to the logarithm of the sample size, and the screening length of the perpendicular magnetic field decreases with temperature. For large tilt the extended ground state turns out to wander in the plane perpendicular to the defects with exponents corresponding to a directed polymer in a random medium, and the energy difference between two competing metastable states in this case is extensive. The divergence of the effective potential associated with strong pinning centers as the tilt approaches its critical value is discussed as well.

UR - http://www.scopus.com/inward/record.url?scp=0009071972&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.57.8571

DO - 10.1103/PhysRevB.57.8571

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AN - SCOPUS:0009071972

SN - 1098-0121

VL - 57

SP - 8571

EP - 8579

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 14

ER -