Vacancy induced expansion of spin-liquid regime in J1-J2 Heisenberg model

TL;DR

This paper introduces a semi-classical approach to study vacancy effects in the J1-J2 Heisenberg model, revealing vacancy-induced expansion of the spin-liquid regime and suggesting new ways to realize spin-liquid states.

Contribution

A novel semi-classical method incorporating Monte Carlo simulations to analyze vacancies in frustrated quantum magnets.

Findings

Vacancies broaden the spin-liquid regime in the J1-J2 model.

The approach qualitatively reproduces known physics of the vacancy-free model.

Vacancy doping may help in discovering new spin-liquid ground states.

Abstract

We study the model for spin-1/2 J1-J2 Heisenberg antiferromagnets on a square lattice in the presence of spin vacancies. In order to overcome the methodological challenges associated with analyzing models with magnetic frustration and inhomogeneities, we introduce a new semi-classical approach in which singlet dimers are treated as effective classical degrees of freedom. The energetic and entropic aspects of the dimer formation are included via a classical Monte Carlo scheme that allows for the dynamical conversion of spin pairs into dimers and vice versa. We show that our semi-classical approach recovers the qualitative physics of the J1-J2 model in the absence of vacancies. The vacancies lead to a broadening of the spin-liquid regime between the N\'eel and the stripe antiferromagnetic phases. This suggests a possible new route to discover spin-liquid ground states by tuning the J2/J1 ratio in doped square lattice antiferromagnets.