Quantum Phase Transitions in Josephson Junction Chains

Details Quantum Phase Transitions in Josephson Junction Chains Quantum Phase Transitions in Josephson Junction Chains

1997-11-06

arxiv.org/abs/cond-mat/9711046v1

Phys. Rev. B 57, R716 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

REVTeX+5 EPS figures, To appear in PRB Rapids

Scientific paper

10.1103/PhysRevB.57.R716

We investigate the quantum phase transition in a one-dimensional chain of ultra-small superconducting grains, considering both the self- and junction capacitances. At zero temperature, the system is transformed into a two-dimensional system of classical vortices, where the junction capacitance introduces anisotropy in the interaction between vortices. This leads to the superconductor-insulator transition of the Berezinskii-Kosterlitz-Thouless type, as the ratios of the Josephson coupling energy to the charging energies are varied. It is found that the junction capacitance plays a role similar to that of dissipation and tends to suppress quantum fluctuations; nevertheless the insulator region survives even for arbitrarily large values of the junction capacitance.

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