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Transverse Meissner physics of planar superconductors with columnar pins

Refael, Gil and Hofstetter, Walter and Nelson, David R. (2006) Transverse Meissner physics of planar superconductors with columnar pins. Physical Review B, 74 (17). Art. No. 174520. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:REFprb06

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Abstract

The statistical mechanics of thermally excited vortex lines with columnar defects can be mapped onto the physics of interacting quantum particles with quenched random disorder in one less dimension. The destruction of the Bose glass phase in type-II superconductors, when the external magnetic field is tilted sufficiently far from the column direction, is described by a poorly understood non-Hermitian quantum phase transition. We present here exact results for this transition in (1+1) dimensions, obtained by mapping the problem in the hard core limit onto one-dimensional fermions described by a non-Hermitian tight binding model. Both site randomness and the relatively unexplored case of bond randomness are considered. Analysis near the mobility edge and near the band center in the latter case is facilitated by a real space renormalization group procedure used previously for Hermitian quantum problems with quenched randomness in one dimension.


Item Type:Article
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URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.74.174520DOIUNSPECIFIED
Additional Information:©2006 The American Physical Society (Received 5 June 2006; revised 9 October 2006; published 29 November 2006) D.R.N. would like to thank I. Affleck for discussions on torque measurements. D.R.N. was supported by the National Science Foundation through Grant No. DMR-0231631 and through the Harvard Materials Research Science and Engineering Laboratory via Grant No. DMR-0213805. G.R. would like to thank the generous hospitality of the Kavli Institute of Theoretical Physics, UCSB, and of the Boston University visitors program.
Subject Keywords:Meissner effect; flux-line lattice; statistical mechanics; flux pinning; superconducting transitions; Hermitian matrices; renormalisation; tight-binding calculations
Issue or Number:17
Record Number:CaltechAUTHORS:REFprb06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:REFprb06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6384
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:06 Dec 2006
Last Modified:02 Oct 2019 23:32

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