Quantum valence bond ice theory for proton-driven quantum spin-dipole liquids

Abstract

We present a theory of a hybrid quantum liquid state, $\text{quantum spin-dipole liquid}$ (QSDL), in a hydrogen-bonded electron system, by combining a quantum proton ice and Anderson's resonating valence bond spin liquid theory, motivated by the recent experimental discovery of a quantum spin liquid with proton fluctuations in $\kappa$-H${}_3$(Cat-EDT-TTF)${}_2$ (a.k.a. H-Cat). In our theory, an electron spin liquid and a proton dipole liquid are realized simultaneously in the ground state called $\text{quantum valence bond ice}$. In this state, neither of them can be established independently of the other. Analytical and numerical calculations reveal that this state has a large entanglement entropy between spins and dipoles, which is far beyond the (crude) Born-Oppenheimer approximation. We also examine the stability of QSDL with respect to perturbations and discuss implications for experiments in H-Cat and its deuterated analog D-Cat.

arXiv comment9 pages, 7 figures

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Cited by in corpus (4)

• Anderson-Kitaev spin liquid
• Simulating and investigating various dynamic aspects of the ${\mathrm{H}}_2\mathrm{O}$-related hydrogen bond model
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Studying the effect of phonon coherence and inflow on hydrogen bond formation in the $[({\mathrm{H}}_2\mathrm{O}{)}_2{]}^m$ cluster