Quantum effects on the BKT phase transition of two-dimensional Josephson arrays

Abstract

The phase diagram of two dimensional Josephson arrays is studied by means of the mapping to the quantum XY model. The quantum effects onto the thermodynamics of the system can be evaluated with quantitative accuracy by a semiclassical method, the {\em pure-quantum self-consistent harmonic approximation}, and those of dissipation can be included in the same framework by the Caldeira-Leggett model. Within this scheme, the critical temperature of the superconductor-to-insulator transition, which is a Berezinskii-Kosterlitz-Thouless one, can be calculated in an extremely easy way as a function of the quantum coupling and of the dissipation mechanism. Previous quantum Monte Carlo results for the same model appear to be rather inaccurate, while the comparison with experimental data leads to conclude that the commonly assumed model is not suitable to describe in detail the real system.

4 pages, 2 figures, to be published in Phys. Rev. B

References in corpus (3)

• High temperature study of the Kosterlitz-Thouless phase transition in the XY model on the triangular lattice
• Thermodynamics of quantum dissipative many-body systems
• Topological phase transition in 2D quantum Josephson array

Cited by in corpus (13)

• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• The fine structure of the entanglement entropy in the classical XY model
• Quantum thermodynamics of systems with anomalous dissipative coupling
• Josephson junction dynamics in a two-dimensional ultracold Bose gas
• Dissipation-driven phase transition in 2D Josephson arrays
• Reentrant behavior of the phase stiffness in Josephson junction arrays
• Self-consistent harmonic approximation with non-local couplings
• Emergent topological ordered phase for the Ising-XY Model revealed by cluster-updating Monte-Carlo method
• Quantum fluctuations in one-dimensional arrays of condensates
• Berezinskii-Kosterlitz-Thouless transition in Josephson junction arrays
• Competition between local and nonlocal dissipation effects in two-dimensional quantum Josephson junction arrays
• Physics and Derivatives: Effective-Potential Path-Integral Approximations of Arrow-Debreu Densities
• Helicity modulus in the bilayer XY model by worm algorithm