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Anomalous scaling and gapless fermions of d-wave superconductors in a magnetic field.

Authors
Type
Published Article
Journal
Physical Review Letters
1079-7114
Publisher
American Physical Society
Publication Date
Volume
99
Issue
4
Pages
47002–47002
Identifiers
PMID: 17678391
Source
Medline
License
Unknown

Abstract

The problem of dx2-y2-wave quasiparticles in a weakly disordered Abrikosov vortex lattice is studied. Starting with a periodic lattice, the topological structure of the magnetic crystal momenta of gapless fermions is found for the particle-hole symmetric case. If in addition the site centered inversion symmetry is present, both the location and the number of the gapless fermions can be determined using an index theorem. In the case of spatially aperiodic vortex array, Simon and Lee scaling is found to be violated due to a quantum anomaly. The electronic density of states is found to scale with the root-mean-square vortex displacement as sqrt[H]f(u2rms/xi2), while thermal conductivity is H independent, but different from the H=0 case.

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