Zero vorticity condition in calculation of ground state energy of Josephson junction lattices

TL;DR

This paper introduces a method using zero vorticity to calculate the ground state energy of Josephson junction lattices, demonstrating improved accuracy over independent plaquette models through tests on Fibonacci and Penrose lattices.

Contribution

The paper presents a novel approach applying zero vorticity conditions to enhance ground state energy calculations in complex Josephson junction lattices.

Findings

Zero vorticity condition improves calculation accuracy.

Method tested on Fibonacci and Penrose lattices.

Outperforms independent plaquette models.

Abstract

We employ the charge neutrality condition in the form of zero vorticity for a Josephson junction lattice in calculating its ground state. We consider a Fibonacci ladder and the Penrose lattice to test our method. We also compare the results with those of the model that treats the plaquettes independently. We show that the zero vorticity condition improves on the results of the independent plaquette model.