Dilution Effects on Two-Dimensional Heisenberg Antiferromagnets with Non-Magnetic Spin-Gapped Ground State

TL;DR

This study uses quantum Monte Carlo simulations to explore how site and bond dilution affect antiferromagnetic order in two-dimensional spin-gapped Heisenberg antiferromagnets, revealing contrasting effects of dilution types.

Contribution

It demonstrates the different impacts of site and bond dilution on antiferromagnetic long-range order in 2D spin-gapped systems, highlighting the competition between effective couplings.

Findings

Site dilution induces AF-LRO at infinitesimal concentration.

Bond dilution does not induce AF-LRO below a certain concentration.

Competition between effective couplings causes peculiar phenomena.

Abstract

Dilution effects on spin-1/2 quantum Heisenberg antiferromagnets with a non-magnetic spin-gapped ground state are studied by means of the qunatum Monte Carlo simulation. In the site-diluted system, an antiferromagnetic long-range order (AF-LRO) is induced at an infinitesimal concentration of dilution due to an effective coupling $\tilde{J}_{mn}$ between induced magnetic moments. In the bond-diluted case, on the other hand, the AF-LRO is not induced up to a certain concentration of dilution due to singlet pairs reformed by an AF coupling $\tilde{J}_{\rm af}$ between the edge spins of the diluted bond through the two-dimensional shortest paths. The competition between $\tilde{J}_{mn}$ and $\tilde{J}_{\rm af}$ yields peculiar phenomena in the bond-diluted system.