Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality

Abstract

Quantum spin liquids are long-range entangled states of matter with emergent gauge fields and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb ruthenate $\alpha$-RuCl${}_3$, show magnetic order at low temperatures $T$, here we demonstrate numerically a dynamical crossover from magnon-like behavior at low $T$ and frequencies $\omega$ to long-lived fractionalized fermionic quasiparticles at higher $T$ and $\omega$. This crossover is akin to the presence of spinon continua in quasi-1D spin chains. It is further shown to go hand in hand with persistent typicality down to very low $T$. This aspect, which has also been observed in the spin-1/2 kagome Heisenberg antiferromagnet, is a signature of proximate spin liquidity and emergent gauge degrees of freedom more generally, and can be the basis for the numerical study of many finite-$T$ properties of putative spin liquids.

arXiv comment13 pages, 11 figures, accepted version

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Cited by in corpus (47)

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• Fluctuating Fractionalized Spins in Quasi Two-dimensional Magnetic V0.85PS3
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Accuracy of the typicality approach using Chebyshev polynomials
• Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
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• Finite-size scaling of typicality-based estimates
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