Strongly Screened Vortex Lattice Model with Disorder

C. Giardina'; Nikolai V. Priezjev; J. M. Kosterlitz

Strongly Screened Vortex Lattice Model with Disorder

C. Giardina', Nikolai V. Priezjev, J. M. Kosterlitz

Wright State University

Research output: Contribution to journal › Article › peer-review

Abstract

<p> The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with λ&simeq;0&simeq;T and the resulting effective model is studied numerically by defect energy scaling. In zero external field we find that there exists a true superconducting phase with a stiffness exponent θ&simeq;+1.0 for weak disorder. For low magnetic field and weak disorder, there is also a superconducting phase with θ&simeq;+1.0 which we conjecture is a Bragg glass. For larger disorder or applied field, there is a non superconducting phase with θ&simeq;−1.0. We estimate the critical external field whose value is consistent with experiment.</p>

Original language	American English
Journal	Default journal
State	Published - Jan 1 2002

Keywords

Statistical Mechanics
Superconductivity

Disciplines

Engineering
Materials Science and Engineering
Mechanical Engineering

Access to Document

Strongly Screened Vortex Lattice Model with DisorderFinal published version, 188 KBLicense: Unspecified

Cite this

@article{370b7cf0085d46eaaadcb5562946f1c8,

title = "Strongly Screened Vortex Lattice Model with Disorder",

abstract = " The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with λ&simeq;0&simeq;T and the resulting effective model is studied numerically by defect energy scaling. In zero external field we find that there exists a true superconducting phase with a stiffness exponent θ&simeq;+1.0 for weak disorder. For low magnetic field and weak disorder, there is also a superconducting phase with θ&simeq;+1.0 which we conjecture is a Bragg glass. For larger disorder or applied field, there is a non superconducting phase with θ&simeq;−1.0. We estimate the critical external field whose value is consistent with experiment.",

keywords = "Statistical Mechanics, Superconductivity",

author = "C. Giardina' and Priezjev, {Nikolai V.} and Kosterlitz, {J. M.}",

year = "2002",

month = jan,

day = "1",

language = "American English",

journal = "Default journal",

}

TY - JOUR

T1 - Strongly Screened Vortex Lattice Model with Disorder

AU - Giardina', C.

AU - Priezjev, Nikolai V.

AU - Kosterlitz, J. M.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with λ&simeq;0&simeq;T and the resulting effective model is studied numerically by defect energy scaling. In zero external field we find that there exists a true superconducting phase with a stiffness exponent θ&simeq;+1.0 for weak disorder. For low magnetic field and weak disorder, there is also a superconducting phase with θ&simeq;+1.0 which we conjecture is a Bragg glass. For larger disorder or applied field, there is a non superconducting phase with θ&simeq;−1.0. We estimate the critical external field whose value is consistent with experiment.

AB - The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with λ&simeq;0&simeq;T and the resulting effective model is studied numerically by defect energy scaling. In zero external field we find that there exists a true superconducting phase with a stiffness exponent θ&simeq;+1.0 for weak disorder. For low magnetic field and weak disorder, there is also a superconducting phase with θ&simeq;+1.0 which we conjecture is a Bragg glass. For larger disorder or applied field, there is a non superconducting phase with θ&simeq;−1.0. We estimate the critical external field whose value is consistent with experiment.

KW - Statistical Mechanics

KW - Superconductivity

UR - https://corescholar.libraries.wright.edu/mme/450

M3 - Article

JO - Default journal

JF - Default journal

ER -

Strongly Screened Vortex Lattice Model with Disorder

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this