2005/04/30 by T. P. Polak, T. K. Kopec, T. K. Kopeć
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dissipation #Hexagonal lattice #Insulator (electricity) #Ising model #Josephson effect #Lattice (music) #Magnetic field #Magnetic flux #Magnetic flux quantum #Physics #Physics of Superconductivity and Magnetism #Pi Josephson junction #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Square lattice #Superconductivity #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.72.014509
published as Phys. Rev. B 72, 014509 (2005) · accepted to PRB
arxiv created 2005/05/02 · openalex publication_date 2005/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the quantum phase transitions in two-dimensional arrays of Josephson-couples junctions with short range Josephson couplings (given by the Josephson energy EJ) and the charging energy EC. We map the problem onto the solvable quantum generalization of the spherical model that improves over the mean-field theory method. The arrays are placed on the top of a two-dimensional electron gas separated by an insulator. We include effects of the local dissipation in the presence of an external magnetic flux f=\ensuremathΦ∕\ensuremathΦ0 in square lattice for several rational fluxes f=0,(1)/(2),(1)/(3),(1)/(4), and (1)/(6). We also have examined the T=0 superconducting-insulator phase boundary as a function of a dissipation \ensuremathα0 for two different geometry of the lattice: square and triangular. We have found a critical value of the dissipation parameter independent on geometry of the lattice and presence magnetic field.