Spins coupled to a $Z_2$-Regge lattice in 4d

TL;DR

This paper investigates an Ising spin system on a fluctuating 4D $Z_2$-Regge lattice, analyzing phase transitions and critical exponents through Monte Carlo simulations, revealing consistency with mean-field theory.

Contribution

It introduces a coupled spin-lattice model in four dimensions and provides finite-size scaling analysis results that align with mean-field predictions.

Findings

Critical exponents match mean-field predictions

Finite-size scaling confirms phase transition behavior

Comparison with regular lattice highlights effects of lattice fluctuations

Abstract

We study an Ising spin system coupled to a fluctuating four-dimensional $Z_2$-Regge lattice and compare with the results of the four-dimensional Ising model on a regular lattice. Particular emphasis is placed on the phase transition of the spin system and the associated critical exponents. We present results from finite-size scaling analyses of extensive Monte Carlo simulations which are consistent with mean-field predictions.