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).
Keywords
Cite
@article{arxiv.cond-mat/9512148,
title = {Charge-Vortex Duality in Double-Layered Josephson Junction Arrays},
author = {Yaroslav M. Blanter and Gerd Schoen},
journal= {arXiv preprint arXiv:cond-mat/9512148},
year = {2009}
}
Comments
12 pages, Revtex 3.0