Charge-Vortex Duality in Double-Layered Josephson Junction Arrays

Abstract

A system of two parallel Josephson junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry (duality) of the relevant degrees of freedom, i.e. the vortices in one layer and the charges in the other. In contrast to single-layer arrays both contribute to the kinetic energy. The charges feel the magnetic field created by vortices, and, vice versa, the vortices feel a gauge field created by charges. For long-range interaction of the charges the system exhibits two Berezinskii-Kosterlitz-Thouless transitions, one for vortices and another one for charges. The interlayer capacitance suppresses both transition temperatures. The charge-unbinding transition is suppressed already for relatively weak coupling, while the vortex-unbinding transition is more robust. The shift of the transition temperature for vortices is calculated in the quasi-classical approximation for arbitrary relations between the capacitances (both weak and strong coupling).

12 pages, Revtex 3.0

References in corpus (1)

• Superconducting to normal state phase boundary in arrays of ultrasmall Josephson junctions

Cited by in corpus (4)

• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Duality in Josephson Junction Arrays
• Duality in two capacitively coupled layered arrays of ultrasmall Josephson junctions
• Phase and Charge reentrant phase transitions in two capacitively coupled Josephson arrays with ultra-small junction