Quantum fluctuations in thin superconducting wires of finite length

H. P. Büchler; V. B. Geshkenbein; G. Blatter

doi:10.1103/physrevlett.92.067007

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Quantum fluctuations in thin superconducting wires of finite length

H. P. Büchler·V. B. Geshkenbein·G. Blatter

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Abstract

In one dimensional wires, fluctuations destroy superconducting long-range order and stiffness at finite temperatures; in an infinite wire, quasi-long range order and stiffness survive at zero temperature if the wire's dimensionless admittance $μ$ is large, $μ> 2$. We analyze the disappearance of this superconductor-insulator quantum phase transition in a finite wire and its resurrection due to the wire's coupling to its environment characterized through the dimensionless conductance $K$. Integrating over phase slips, we determine the flow of couplings and establish the $μ$--$K$ phase diagram.

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H. P. Büchler, V. B. Geshkenbein, G. Blatter. 2003-06-24. Quantum fluctuations in thin superconducting wires of finite length. https://doi.org/10.1103/physrevlett.92.067007

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