Quantum phase transitions in superconducting arrays with general capacitance matrices

Beom Jun Kim, Jeenu Kim, Sung Yong Park, and M. Y. Choi
Phys. Rev. B 56, 395 – Published 1 July 1997
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Abstract

We investigate quantum phase transitions in two-dimensional superconducting arrays with general capacitance matrices and discrete charge states. We use the perturbation theory together with the simulated annealing method to obtain the zero-temperature phase diagrams, which display various lobelike structures of insulating solid phases, and examine the possibility of a supersolid phase. At nonzero temperatures, an effective classical Hamiltonian is obtained through the use of the variational method in the path-integral formalism, and the corresponding phase diagram is found approximately. The insulating lobes of the solid phases are shown to exist at sufficiently low temperatures, and results of Monte Carlo simulations are also presented.

  • Received 14 February 1997

DOI:https://doi.org/10.1103/PhysRevB.56.395

©1997 American Physical Society

Authors & Affiliations

Beom Jun Kim, Jeenu Kim, Sung Yong Park, and M. Y. Choi

  • Department of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-742, Korea

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Vol. 56, Iss. 1 — 1 July 1997

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