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Quantum phase transitions in superconducting arrays under external magnetic fields

1998/10/19 by Beom Jun Kim, Gun Sang Jeon, Mahn‐Soo Choi +2
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.58.14524

published as Phys. Rev. B 58, 14 524 (1998) · 9 pages including 7 figures, to appear in Phys. Rev. B

arxiv created 1998/10/19 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the zero-temperature phase transitions of two-dimensional superconducting arrays with both the self- and the junction capacitances in the presence of external magnetic fields. We consider two kinds of excitations from the Mott insulating phase, charge-dipole excitations and single-charge excitations, and apply the second-order perturbation theory to find their energies. The resulting phase boundaries are found to depend strongly on the magnetic frustration, which measures the commensurate-incommensurate effects. Comparison of the obtained values with those in recent experiment suggests the possibility that the superconductor-insulator transition observed in experiment may not be of the Berezinskii-Kosterlitz-Thouless type. The system is also transformed to a classical three-dimensional XY model with the magnetic field in the time direction; this allows the analogy to bulk superconductors, revealing the nature of the phase transitions.

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