Non-universal behavior of helicity modulus in a dense defect system

TL;DR

This study uses Monte Carlo simulations on a dense defect 2D XY model to demonstrate that topological defects cause non-universal jumps in the helicity modulus, aligning with experimental findings in high-temperature superconductors.

Contribution

It reveals how topological defects induce non-universal behavior in the helicity modulus of a dense defect system, supported by extensive simulations.

Findings

Helicity modulus exhibits non-universal jumps due to topological defects.

Simulation results match experimental observations in high-$T_c$ superconducting films.

Dense defect systems alter the traditional universal behavior of phase transitions.

Abstract

Extensive Monte Carlo simulation has been performed on a 2D modified XY model which behaves like a dense defect system. Topological defects are shown to introduce disorders in the system which makes the helicity modulus jump non-universal. The results corroborate the experimental observation of non-universal jump of the superconducting density in high-$T_c$ superconducting films.