Quantum percolation in two-dimensional antiferromagnets

TL;DR

This paper explores how inhomogeneous bond dilution causes quantum percolation transitions in two-dimensional antiferromagnets, revealing a new class of spin liquids with unique quantum properties.

Contribution

It demonstrates that inhomogeneous bond dilution induces quantum percolation transitions, leading to novel spin liquid phases not observed in homogeneous systems.

Findings

Inhomogeneous bond dilution causes quantum percolation transitions.

Discovery of a new class of two-dimensional spin liquids.

Percolating quantum phases with vanishing antiferromagnetic order.

Abstract

The interplay of geometric randomness and strong quantum fluctuations is an exciting topic in quantum many-body physics, leading to the emergence of novel quantum phases in strongly correlated electron systems. Recent investigations have focused on the case of homogeneous site and bond dilution in the quantum antiferromagnet on the square lattice, reporting a classical geometric percolation transition between magnetic order and disorder. In this study we show how inhomogeneous bond dilution leads to percolative quantum phase transitions, which we have studied extensively by quantum Monte Carlo simulations. Quantum percolation introduces a new class of two-dimensional spin liquids, characterized by an infinite percolating network with vanishing antiferromagnetic order parameter.