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arXiv · 2205.04472

Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice

Xiaoxue Ran·Zheng Yan·Yan-Cheng Wang·Rhine Samajdar·Junchen Rong·Subir Sachdev·Yang Qi·Zi Yang Meng
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Abstract

Quantum loop and dimer models are prototypical correlated systems with local constraints, which are not only intimately connected to lattice gauge theories and topological orders but are also widely applicable to the broad research areas of quantum materials and quantum simulation. Employing our sweeping cluster quantum Monte Carlo algorithm, we reveal the complete phase diagram of the triangular-lattice fully packed quantum loop model. Apart from the known lattice nematic (LN) solid and the even $\mathbb{Z}_2$ quantum spin liquid (QSL) phases, we discover a hidden vison plaquette (VP) phase, which had been overlooked and misinterpreted as a QSL for more than a decade. Moreover, the VP-to-QSL continuous transition belongs to the $(2+1)$D cubic* universality class, which offers a lattice realization of the (fractionalized) cubic fixed point that had long been considered as irrelevant towards the O($3$) symmetry until corrected recently by conformal bootstrap calculations. Our results are therefore of relevance to recent developments in both experiments and theory, and facilitate further investigations of hidden phases and transitions.

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Xiaoxue Ran, Zheng Yan, Yan-Cheng Wang, Rhine Samajdar, Junchen Rong, Subir Sachdev, Yang Qi, Zi Yang Meng. 2024-06-28. Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice. https://doi.org/10.1038/s42005-024-01680-z

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