2009/03/31 by Sergey Syzranov, S. V. Syzranov, K. B. Efetov +1 · 1 citation
Physics and Astronomy · #Anderson localization #Condensed matter physics #Conductivity #Cooper pair #Coulomb #Coulomb blockade #Electron #Josephson effect #Kubo formula #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Superconductivity #Transistor #Voltage #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevlett.103.127001
published as Phys. Rev. Lett. 103, 127001 (2009) · 4 pages
openalex publication_date 2009/09/15 · arxiv created 2009/11/08 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider microscopically low-temperature transport in weakly disordered arrays of Josephson junctions in the Coulomb blockade regime. We demonstrate that at sufficiently low temperatures the main contribution to the dc conductivity comes from the motion of single-Cooper-pair excitations, scattered by irregularities in the array. Being proportional to the concentration of the excitations, the conductivity is exponentially small in temperature with the activation energy close to the charging energy of a Cooper pair on a superconductive island. Applying a diagrammatic approach to treat the disorder potential we calculate the Drude-like conductivity and obtain weak localization corrections. At sufficiently low temperatures or strong disorder the Anderson localization of Cooper pairs ensues.