Decoupling in the one-dimensional frustrated quantum [ital XY] model and Josephson-junction ladders: Ising critical behavior

Journal Article · Wed Sep 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.7727· OSTI ID:6213882

Granato, E ^[1]

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1. Laboratorio Associado de Sensores e Materiais, Instituto Nacional de Pesquisas Espaciais, 12225 Sao Jose dos Campos, Sao Paulo (Brazil)

A generalization of the one-dimensional frustrated quantum [ital XY] model is considered in which the interchain and intrachain coupling constants of the two infinite [ital 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 [ital 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 interchain and intrachain coupling constants, the [ital 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 two-dimensional classical [ital XY] model.

• OSTI ID: 6213882
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:10; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
CRYSTAL MODELS
FEYNMAN PATH INTEGRAL
FLUX QUANTIZATION
INTEGRALS
ISING MODEL
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FIELDS
MATHEMATICAL MODELS
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
SCALING
SUPERCONDUCTING JUNCTIONS
TRANSFER MATRIX METHOD