Decoupling in the 1D frustrated quantum XY model and Josephson junction ladders: Ising critical behavior

Abstract

A generalization of the one-dimensional frustrated quantum XY model is considered in which the inter and intra-chain coupling constants of the two infinite XY (planar rotor) chains have different strengths. The model can describe the superconductor to insulator transition due to charging effects in a ladder of Josephson junctions in a magnetic field with half a flux quantum per plaquette. From a fluctuation-effective action, this transition is expected to be in the universality class of the two-dimensional classical XY-Ising model. The critical behavior is studied using a Monte Carlo transfer matrix applied to the path-integral representation of the model and a finite-size-scaling analysis of data on small system sizes. It is found that, unlike the previous studied case of equal inter and intra-chain coupling constants, the XY and Ising-like excitations of the quantum model decouple for large interchain coupling, giving rise to pure Ising model critical behavior for the chirality order parameter and a superconductor-insulator transition in the universality class of the 2D classical XY model.

15 pages with figures, RevTex 3.0, INPE-93/002

References in corpus (1)

• Chiral exponents of the square-lattice frustrated XY model: a Monte Carlo transfer-matrix calculation

Cited by in corpus (11)

• Bose Hubbard Model in a Strong Effective Magnetic Field: Emergence of a Chiral Mott Insulator Ground State
• Chiral Mott insulator with staggered loop currents in the fully frustrated Bose Hubbard model
• Multicritical behavior in the fully frustrated XY model and related systems
• Conformal Anomaly and Critical Exponents of the XY-Ising Model
• Josephson Junction Ladders: Ground State and Relaxation Phenomena
• Critical behavior of Josephson-junction arrays at f=1/2
• Cotunneling Transport and Quantum Phase Transitions in Coupled Josephson-Junction Chains with Charge Frustration
• Capacitively coupled Josephson-junction chains: straight and slanted coupling
• Numerical Studies of the Two Dimensional XY Model with Symmetry Breaking Fields
• Phase transitions in the one-dimensional frustrated quantum XY model and Josephson-junction ladders
• Liouville field theory coupled to a critical Ising model: Non-perturbative analysis, duality and applications