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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: Superconductivity, 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
Israel Science Foundation (ISF)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:20091016-111619225
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16362
Deposited On:18 Oct 2009 23:50
Last Modified:08 Nov 2021 23:26

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