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Sharp superconductor–insulator transition in short wires

Meidan, Dganit and Oreg, Yuval and Refael, Gil and Smith, Robert A. (2008) Sharp superconductor–insulator transition in short wires. Physica C, 468 (4). pp. 341-349. ISSN 0921-4534. doi:10.1016/j.physc.2007.09.019.

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Recent experiments on short MoGe nanowires show a sharp superconductor–insulator transition tuned by the normal state resistance of the wire, with a critical resistance of R_c ≈ R_Q = h/(4e^2). These results are at odds with a broad range of theoretical work on Josephson-like systems that predicts a smooth transition, tuned by the value of the resistance that shunts the junction. We develop a self-consistent renormalization group treatment of interacting phase-slips and their dual counterparts, correlated cooper pair tunneling, beyond the dilute approximation. This analysis leads to a very sharp transition with a critical resistance of R_Q. The addition of the quasi-particles’ resistance at finite temperature leads to a quantitative agreement with the experimental results. This self-consistent renormalization group method should also be applicable to other physical systems that can be mapped onto similar sine-Gordon models, in the previously inaccessible intermediate-coupling regime.

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Additional Information:© 2007 Elsevier. Accepted 17 September 2007; Available online 6 November 2007. We thank E. Demler and P. Werner. Special thanks to A. Bezryadin for making his data available to us. This study was supported by a DIP grant and by an ISF grant.
Funding AgencyGrant Number
DIP (Deutsch-Israelische Projektkooperation, Deutsche Forschungsgemeinschaft)UNSPECIFIED
ISF (Israel Science Foundation)UNSPECIFIED
Subject Keywords:Fluctuations; Superconducting wires; Phase slips
Issue or Number:4
Classification Code:PACS classification codes: 74.78.Na; 74.20.−z; 74.40.+k; 73.21.Hb
Record Number:CaltechAUTHORS:20100722-100915751
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19158
Deposited On:23 Jul 2010 04:05
Last Modified:08 Nov 2021 23:50

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