Correlation functions and properties of local distributions of frustrated phases in the ground state of a dilute Ising chain in a magnetic field

TL;DR

This paper investigates the effects of external magnetic fields on frustrated states in a diluted Ising chain, revealing partial ordering, long-range order, and detailed correlation properties through a Markov chain mapping.

Contribution

It introduces a novel mapping of a 1D spin model to a Markov chain to analyze correlation functions and local distributions in frustrated phases.

Findings

Partial ordering reduces entropy in ferromagnetic cases.

Long-range order appears in antiferromagnetic cases under field.

Markov chain mapping enables detailed analysis of correlations.

Abstract

The features of the response of frustrated states to the external field are considered on the example of a diluted Ising chain. In the ferromagnetic case, partial ordering occurs, which leads to a decrease in entropy. In the antiferromagnetic case, the switching on of the field leads to the appearance of a long-range order in the system, although the state remains frustrated. A mapping of a one-dimensional spin model to a Markov chain is proposed, which makes it possible to study in detail the properties of correlation functions and local distributions of the states in the spin chain.