Phase Transition in Compact QED(3) and the Josephson Junction
Vakif K. Onemli, Murat Tas, Bayram Tekin
TL;DR
This paper explores the finite temperature phase transition in 2+1 dimensional compact QED and its dual Josephson junction, deriving a critical temperature based on junction geometry, linking gauge theory and superconductivity.
Contribution
It establishes a connection between compact QED and Josephson junctions at finite temperature, providing a geometric formula for the critical temperature in thick junctions.
Findings
Critical temperature depends on junction geometry
Duality between QED and Josephson junctions at finite temperature
Provides a theoretical framework linking gauge theory and superconductivity
Abstract
We study the finite temperature phase transition in 2+1 dimensional compact QED and its dual theory: Josephson junction. Duality of these theories at zero temperature was established long time ago by Hosotani. Phase transition in compact QED is well studied and we employ the `duality' to study the superconductivity phase transition in a Josephson junction. For a thick junction we obtain a critical temperature in terms of the geometrical properties of the junction.
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