Quantum phase transitions in Josephson-junction chains
M.-S. Choi, J. Yi, M. Y. Choi, J. Choi, S.-I. Lee
DOI 10.1103/PhysRevB.57.R716 · Physical Review B
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Abstract
We investigate the quantum phase transition in a one-dimensional chain of ultrasmall 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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