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Article: Universal conductance fluctuations in mesoscopic systems with superconducting leads: Beyond the Andreev approximation

TitleUniversal conductance fluctuations in mesoscopic systems with superconducting leads: Beyond the Andreev approximation
Authors
Issue Date2010
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B (Condensed Matter and Materials Physics), 2010, v. 82 n. 24, article no. 245406, p. 245406-1-245406-10 How to Cite?
AbstractWe report our investigation of the sample to sample fluctuation in transport properties of phase coherent normal-metal-superconductor hybrid systems. Extensive numerical simulations were carried out for quasi-one-dimensional and two-dimensional systems in both square lattice (Fermi electron) as well as honeycomb lattice (Dirac electron). Our results show that when the Fermi energy is within the superconducting energy gap Δ, the Andreev conductance fluctuation exhibits a universal value (UCF) which is approximately two times larger than that in the normal systems. According to the random matrix theory, the electron-hole degeneracy (ehD) in the Andreev reflections (ARs) plays an important role in classifying UCF. Our results confirm this. We found that in the diffusive regime there are two UCF plateaus, one corresponds to the complete electron-hole symmetry (with ehD) class and the other to conventional electron-hole conversion (ehD broken). In addition, we have studied the Andreev conductance distribution and found that for the fixed average conductance G the Andreev conductance distribution is a universal function that depends only on the ehD. In the localized regime, our results show that ehD continues to serve as an indicator for different universal classes. Finally, if normal transport is present, i.e., Fermi energy is beyond energy gap Δ, the AR is suppressed drastically in the localized regime by the disorder and the ehD becomes irrelevant. As a result, the conductance distribution is the same as that of normal systems. © 2010 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/142472
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
Funding AgencyGrant Number
Government of HKSARHKU705409P
University of Hong Kong
Funding Information:

We gratefully acknowledge the financial support by a RGC (Grant No. HKU705409P) from the Government of HKSAR, and a CRCG grant from the University of Hong Kong.

 

DC FieldValueLanguage
dc.contributor.authorXing, Yen_US
dc.contributor.authorWang, Jen_US
dc.date.accessioned2011-10-28T02:46:49Z-
dc.date.available2011-10-28T02:46:49Z-
dc.date.issued2010en_US
dc.identifier.citationPhysical Review B (Condensed Matter and Materials Physics), 2010, v. 82 n. 24, article no. 245406, p. 245406-1-245406-10en_US
dc.identifier.issn1098-0121-
dc.identifier.urihttp://hdl.handle.net/10722/142472-
dc.description.abstractWe report our investigation of the sample to sample fluctuation in transport properties of phase coherent normal-metal-superconductor hybrid systems. Extensive numerical simulations were carried out for quasi-one-dimensional and two-dimensional systems in both square lattice (Fermi electron) as well as honeycomb lattice (Dirac electron). Our results show that when the Fermi energy is within the superconducting energy gap Δ, the Andreev conductance fluctuation exhibits a universal value (UCF) which is approximately two times larger than that in the normal systems. According to the random matrix theory, the electron-hole degeneracy (ehD) in the Andreev reflections (ARs) plays an important role in classifying UCF. Our results confirm this. We found that in the diffusive regime there are two UCF plateaus, one corresponds to the complete electron-hole symmetry (with ehD) class and the other to conventional electron-hole conversion (ehD broken). In addition, we have studied the Andreev conductance distribution and found that for the fixed average conductance G the Andreev conductance distribution is a universal function that depends only on the ehD. In the localized regime, our results show that ehD continues to serve as an indicator for different universal classes. Finally, if normal transport is present, i.e., Fermi energy is beyond energy gap Δ, the AR is suppressed drastically in the localized regime by the disorder and the ehD becomes irrelevant. As a result, the conductance distribution is the same as that of normal systems. © 2010 The American Physical Society.-
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review B (Condensed Matter and Materials Physics)en_US
dc.rightsPhysical Review B (Condensed Matter and Materials Physics). Copyright © American Physical Society.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleUniversal conductance fluctuations in mesoscopic systems with superconducting leads: Beyond the Andreev approximationen_US
dc.typeArticleen_US
dc.identifier.emailXing, Y: xingyx@HKUCC-COM.hku.hken_US
dc.identifier.emailWang, J: jianwang@hkusub.hku.hken_US
dc.identifier.authorityXing, Y=rp00819en_US
dc.identifier.authorityWang, J=rp00799en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.82.245406-
dc.identifier.scopuseid_2-s2.0-78651310861-
dc.identifier.hkuros184606en_US
dc.identifier.volume82en_US
dc.identifier.issue24-
dc.identifier.spage245406-1en_US
dc.identifier.epage245406-10en_US
dc.identifier.eissn1550-235X-
dc.identifier.isiWOS:000286895100010-
dc.publisher.placeUnited States-

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