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Dynamical Conductivity at the Dirty Superconductor-Metal Quantum Phase Transition

2010/06/30 by Adrian Del Maestro, Bernd Rosenow, J. A. Hoyos +2
Physics and Astronomy · #Condensed matter physics #Conductivity #Critical exponent #Critical point (mathematics) #Nanowire #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Randomness #Renormalization group #Scaling #Superconductivity #Surface and Thin Film Phenomena #cond-mat.dis-nn #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.105.145702

published as Phys. Rev. Lett. 105, 145702 (2010) · 4 pages, 2 figures; (v2) minor typos corrected, published version

openalex publication_date 2010/10/01 · arxiv created 2010/10/06 · arxiv updated 2010/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We study the transport properties of ultrathin disordered nanowires in the neighborhood of the superconductor-metal quantum phase transition. To this end we combine numerical calculations with analytical strong-disorder renormalization group results. The quantum critical conductivity at zero temperature diverges logarithmically as a function of frequency. In the metallic phase, it obeys activated scaling associated with an infinite-randomness quantum critical point. We extend the scaling theory to higher dimensions and discuss implications for experiments.

Citations