Ground state structure of diluted antiferromagnets and random field systems

TL;DR

This paper introduces a method to exactly determine all ground states of diluted antiferromagnets and random field systems across various fields, enabling comprehensive analysis of their structure and properties.

Contribution

It presents a novel computational approach that calculates all jump-fields and ground state degeneracies for these complex magnetic systems.

Findings

Complete ground state descriptions for systems up to 48^3 size

Analysis of order parameter behavior across fields

Quantification of degeneracy and jump frequency

Abstract

A method is presented for the calculation of all exact ground states of diluted antiferromagnets and random field systems in an arbitrary range of fields. It works by calculating all jump-fields B,\Delta where the system changes it's ground state. For each field value all degenerated ground states are represented by a set of (anti-) ferromagnetic clusters and a relation between the clusters. So a complete description of the ground state structure of these systems is possible. Systems are investigated up to size 48^3 on the whole field-range and up to 160^3 for some particular fields. The behavior of order parameters is investigated, the number of jumps is analyzed and the degree of degeneracy as functions of size and fields is calculated.