Effects of selective dilution on phase diagram and ground-state magnetizations of an Ising antiferromagnet on triangular and honeycomb lattices

TL;DR

This study uses effective-field theory to analyze how selective dilution influences the phase diagram and ground-state magnetizations of Ising antiferromagnets on triangular and honeycomb lattices, revealing complex behaviors like reentrant order.

Contribution

It introduces a detailed analysis of selective sublattice dilution effects on frustrated antiferromagnets, highlighting phenomena not previously characterized.

Findings

Dilution alters the frustration and phase boundaries.

Reentrant long-range order observed in triangular lattice.

Sublattice magnetizations can remain unsaturated at zero temperature.

Abstract

We employ an effective-field theory with correlations in order to study the phase diagram and ground-state magnetizations of a selectively diluted Ising antiferromagnet on triangular and honeycomb lattices. Dilution of different sublattices with generally unequal probabilities results in a rather intricate phase diagram in the sublattice dilution parameters space. In the case of the frustrated triangular lattice antiferromagnet the selective dilution affects the degree of frustration which can lead to some peculiar phenomena, such as reentrant behavior of long-range order or unsaturated sublattice magnetizations at zero temperature. The selectively diluted Ising antiferromagnet on the honeycomb lattice is obtained as a special case when one sublattice of the triangular lattice is completely removed by dilution.