TY - JOUR

T1 - Renormalization group study of the intrinsic finite-size effect in two-dimensional superconductors

AU - Pierson, Stephen W.

AU - Valls, Oriol T.

N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2000

Y1 - 2000

N2 - Vortices in a thin-film superconductor interact logarithmically out to a distance on the order of the two-dimensional (2D) magnetic penetration depth (Formula presented) at which point the interaction approaches a constant. Thus, because of the finite (Formula presented) the system exhibits what amounts to an intrinsic finite-size effect. It is not described by the 2D Coulomb gas but rather by the 2D Yukawa gas (2DYG). To study the critical behavior of the 2DYG, we map the 2DYG to the massive sine-Gordon model and then perform a renormalization group study to derive the recursion relations and to verify that (Formula presented) is a relevant parameter. We solve the recursion relations to study important physical quantities for this system including the renormalized stiffness constant and the correlation length. We also address the effect of current on this system to explain why finite-size effects are not more prevalent in experiments given that the 2D magnetic penetration depth is a relevant parameter.

AB - Vortices in a thin-film superconductor interact logarithmically out to a distance on the order of the two-dimensional (2D) magnetic penetration depth (Formula presented) at which point the interaction approaches a constant. Thus, because of the finite (Formula presented) the system exhibits what amounts to an intrinsic finite-size effect. It is not described by the 2D Coulomb gas but rather by the 2D Yukawa gas (2DYG). To study the critical behavior of the 2DYG, we map the 2DYG to the massive sine-Gordon model and then perform a renormalization group study to derive the recursion relations and to verify that (Formula presented) is a relevant parameter. We solve the recursion relations to study important physical quantities for this system including the renormalized stiffness constant and the correlation length. We also address the effect of current on this system to explain why finite-size effects are not more prevalent in experiments given that the 2D magnetic penetration depth is a relevant parameter.

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U2 - 10.1103/PhysRevB.61.663

DO - 10.1103/PhysRevB.61.663

M3 - Article

AN - SCOPUS:0000978305

VL - 61

SP - 663

EP - 670

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 1

ER -