Low-Temperature Scaling Regime of Random Ferromagnetic-Antiferromagnetic Spin Chains

TL;DR

This paper investigates the low-temperature behavior of random ferromagnetic-antiferromagnetic spin chains using quantum Monte Carlo simulations, revealing consistent scaling laws and developing a statistical analysis method for such data.

Contribution

It provides the first detailed numerical evidence supporting the scaling conjecture for these spin chains and introduces a new analysis scheme for studying their low-temperature properties.

Findings

Consistent scaling behavior in susceptibility and specific heat at low temperatures

Supports the conjecture from real-space renormalization group analysis

Develops a statistical analysis scheme for numerical and experimental data

Abstract

Using the Continuous Time Quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, and the specific heat of a spin-1/2 chain with random antiferromagnetic and ferromagnetic couplings, down to very low temperatures. Our data show a consistent scaling behavior in both quantities and support strongly the conjecture drawn from the approximative real-space renormalization group treatment. A statistical analysis scheme is developed which will be useful for the search scaling behavior in numerical and experimental data of random spin chains.