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Vestigial anyon condensation in kagome quantum spin liquids

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arxiv 2009.00070 v3 pith:AWO7ANNE submitted 2020-08-31 cond-mat.str-el

Yan-Cheng Wang , Zheng Yan , Chenjie Wang , Yang Qi , Zi Yang Meng This is my paper · ORCID
classification cond-mat.str-el
keywords quantumtopologicalanyoncondensationmathbborderspinkagome
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abstract

We construct a lattice model of topological order (kagome quantum spin liquids) and solve it with unbiased quantum Monte Carlo simulations. A three-stage anyon condensation with two transitions from a $\mathbb Z_2\boxtimes\mathbb Z_2$ topological order to a $\mathbb Z_2$ topological order and eventually to a trivial symmetric phase is revealed. These results provide concrete examples of phase transitions between topological orders in quantum magnets. The designed quantum spin liquid model and its numerical solution offer a playground for further investigations on vestigial anyon condensation.

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