# Randomness-induced quantum spin liquid behavior in the $s=$1/2 bond-random Heisenberg antiferromagnet on the pyrochlore lattice

## TL;DR

This study demonstrates that bond randomness in a $s=1/2$ Heisenberg antiferromagnet on the pyrochlore lattice induces a gapless quantum spin liquid state, providing insights into experimental observations of such states.

## Contribution

It reveals that randomness can induce a gapless quantum spin liquid in the pyrochlore lattice, a novel mechanism for QSL formation in this system.

## Key findings

- Randomness induces a gapless quantum spin liquid state.
- The state is identified as a random-singlet state.
- Implications for experimental materials like Lu$_2$Mo$_2$O$_5$N$_2$.

## Abstract

We investigate the zero- and finite-temperature properties of the bond-random $s=1/2$ Heisenberg antiferromagnet on the pyrochlore lattice by the exact diagonalization and the Hams--de Raedt methods. We find that the randomness induces the gapless quantum spin liquid (QSL) state, the random-singlet state. Implications to recent experiments on the mixed-anion pyrochlore-lattice antiferromagnet Lu$_2$Mo$_2$O$_5$N$_2$ exhibiting gapless QSL behaviors are discussed.