Superconductor-to-insulator transition in linear arrays of Josephson junctions capacitively coupled to metallic films

ALEJANDRO M. LOBOS; THIERRY GIAMARCHI

PHYSICAL REVIEW B

AMER PHYSICAL SOC

Lugar: New York; Año: 2011 vol. 84 p. 24523 - 24523

1098-0121

We study the low-temperature properties of linear Josephson-junction arrays capacitively coupled to a proximate two-dimensional diffusive metal. Using bosonization techniques, we derive an effective model for the array and obtain its critical properties and phases at T = 0 using a renormalization-group analysis and a variational approach.While static screening effects given by the presence of the metal can be absorbed in a renormalization of  the parameters of the array, backscattering originated in the dynamically screened Coulomb interaction produces a nontrivial stabilization of the insulating ground state and can drive a superconductor-to-insulator transition.We study the consequences for the transport properties in the low-temperature regime. In particular, we calculate the resistivity as a function of the temperature and the parameters of the array, and obtain clear signatures of a superconductor-to-insulator transition that could be observed in experiments.