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

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.

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• Structure, spin correlations and magnetism of the $S=1/2$ square-lattice antiferromagnet Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$ ($0\le x\le 1$)
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• Noncentrosymmetric Triangular Magnet CaMnTeO${}_6$: Strong Quantum Fluctuations and Role of s0 vs. s2 Electronic States in Competing Exchange Interactions
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• Evidence of random spin-singlet state in a three-dimensional quantum spin liquid candidate Sr${}_3$CuNb${}_2$O${}_9$
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• Crystallography-driven molecularization of a two-dimensional spin-$3/2$ magnet
• Entanglement-based tensor-network strong-disorder renormalization group