1997/04/22 by Beom Jun Kim, Jeenu Kim, Sung Yong Park +1 · 2 citations
Mathematics · Physics and Astronomy · #Capacitance #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Formalism (music) #Hamiltonian (control theory) #Materials science #Mathematics #Monte Carlo method #Path integral formulation #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #Supersolid #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.56.395
published as Phys. Rev. B 56, 395 (1997) · 19 pages, 11 postscript figures, accpeted in Phys. Rev. B
arxiv created 1997/04/22 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.