Superconductor-insulator transition in Josephson junction chains by quantum Monte Carlo calculations

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Authors

BASKO D. M. PFEIFFER Frederik ADAMUS Petr HOLZMANN M. HEKKING F. W. J.

Year of publication 2020
Type Article in Periodical
Magazine / Source Physical Review B
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1103/PhysRevB.101.024518
Doi http://dx.doi.org/10.1103/PhysRevB.101.024518
Keywords Coulomb blockade; Mott-superfluid transition; Superconductor-insulator transition; XY model
Description We study the zero-temperature phase diagram of a dissipationless and disorder-free Josephson junction chain. Namely, we determine the critical Josephson energy below which the chain becomes insulating as a function of the ratio of two capacitances: the capacitance of each Josephson junction and the capacitance between each superconducting island and the ground. We develop an imaginary-time path integral quantum Monte Carlo algorithm in the charge representation, which enables us to efficiently handle the electrostatic part of the chain Hamiltonian. We find that a large part of the phase diagram is determined by anharmonic corrections which are not captured by the standard Kosterlitz-Thouless renormalization group description of the transition.
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