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University of Cambridge > Talks.cam > Theory of Condensed Matter > Witnessing the Quantum Spin Liquid in Herbertsmithite

Witnessing the Quantum Spin Liquid in Herbertsmithite

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Herbertsmithite is a leading candidate to host a quantum spin liquid—a long sought state of matter featuring long-range quantum entanglement and fractionalised ‘spinon’ excitations. However, despite two decades’ work, definitive evidence remains lacking. One complicating factor is that the material features significant disorder in the form of magnetic impurities.

I will outline recent work in which we utilise these impurities as ‘witnesses’ to probe the quantum spin liquid. Using spin noise spectroscopy to measure magnetization fluctuations originating from witnesses, we find unusual 1/f noise developing below a cusp in DC magnetic susceptibility at 260mK. Ageing effects confirm spin glass formation among witnesses.

I will present a microscopic model of witness interactions mediated by a Z2 quantum spin liquid. Despite having only one free parameter, the model gives a quantitative match to all experiments, including a spin glass transition, the temperature dependence of the susceptibility, the temperature and frequency dependence of the noise spectrum, the Curie Weiss temperature, and the previously observed neutron scattering intensity as a function of momentum transfer.

https://arxiv.org/abs/2510.11678

This talk is part of the Theory of Condensed Matter series.

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