Basko, D. M.; Pfeiffer, F.; Adamus, P.; Holzmann, M.; Hekking, F. W. J.
(2020):
Superconductorinsulator transition in Josephson junction chains by quantum Monte Carlo calculations.
In: Physical Review B, Vol. 101, No. 2, 024518

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Abstract
We study the zerotemperature phase diagram of a dissipationless and disorderfree 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 imaginarytime 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 KosterlitzThouless renormalization group description of the transition.