Critical temperature and superfluid density suppression in disordered high-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> cuprate superconductors

M. Franz; C. Kallin; A. J. Berlinsky; M. I. Salkola

doi:10.1103/PhysRevB.56.7882

Critical temperature and superfluid density suppression in disordered high- $T_{c}$ cuprate superconductors

M. Franz, C. Kallin, A. J. Berlinsky, and M. I. Salkola

Phys. Rev. B 56, 7882 – Published 1 October 1997

Abstract

We argue that the standard Abrikosov-Gorkov (AG)-type theory of $T_{c}$ in disordered $d$ -wave superconductors breaks down in short coherence length high- $T_{c}$ cuprates. Numerical calculations within the Bogoliubov–de Gennes formalism demonstrate that the correct description of such systems must allow for the spatial variation of the order parameter, which is strongly suppressed in the vicinity of impurities but mostly unaffected elsewhere. Suppression of $T_{c}$ is found to be significantly weaker than that predicted by the AG theory, in good agreement with experiment.

Received 8 May 1997

DOI:https://doi.org/10.1103/PhysRevB.56.7882

Authors & Affiliations

M. Franz

Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218

C. Kallin, A. J. Berlinsky, and M. I. Salkola

Department of Physics, Stanford University, Stanford, California 94305

References (Subscription Required)

Click to Expand

Issue

Vol. 56, Iss. 13 — 1 October 1997

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review B

covering condensed matter and materials physics