Layered XY-Models, Anyon Superconductors, and Spin-Liquids

Abstract

The partition function of the double-layer $XY$ model in the (dual) Villain form is computed exactly in the limit of weak coupling between layers. Both layers are found to be locked together through the Berezinskii-Kosterlitz-Thouless transition, while they become decoupled well inside the normal phase. These results are recovered in the general case of a finite number of such layers. When re-interpreted in terms of the dual problems of lattice anyon superconductivity and of spin-liquids, they also indicate that the essential nature of the transition into the normal state found in two dimensions persists in the case of a finite number of weakly coupled layers.

10 pgs, TeX, LA-UR-94-3941

References in corpus (2)

• Toward a Unified Magnetic Phase Diagram of the Cuprate Superconductors
• Thermal properties of gauge-fields common to anyon superconductors and spin-liquids

Cited by in corpus (7)

• Theory of Decoupling in the Mixed Phase of Extremely Type-II Layered Superconductors
• Critical Behavior of the Flux-line Tension in Extreme Type-II Superconductors
• On the Decoupling of Layered Superconducting Films in Parallel Magnetic Field
• Critical Behavior of Layered Superconducting Films in Parallel Magnetic Field
• Fermion Analogy for Layered Superconducting Films in Parallel Magnetic Field
• Theory for Decoupling in High-T_c Superconductors from an Analysis of the Layered XY Model with Frustration
• Nature of Decoupling in the Mixed Phase of Extremely Type-II Layered Superconductors