4.6 Article

Vestigial anyon condensation in kagome quantum spin liquids

Journal

PHYSICAL REVIEW B
Volume 103, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.014408

Keywords

-

Funding

  1. NSFC [11804383, 11874115]
  2. NSF of Jiangsu Province [BK20180637]
  3. Fundamental Research Funds for the Central Universities [2018QNA39]
  4. RGC of Hong Kong SAR China [ECS 21301018, GRF 11300819, GRF 17303019, 17301420]
  5. MOST through the National Key Research and Development Program [2016YFA0300502]
  6. MOST [2015CB921700]

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The study presents a lattice model of topological order (kagome quantum spin liquids) and solves it using unbiased quantum Monte Carlo simulations, revealing a three-stage anyon condensation process with phase transitions between different topological orders in quantum magnets. The designed quantum spin liquid model and its numerical solution offer a foundation for further investigations on vestigial anyon condensation.
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 Z(2) boxed times Z(2) topological order to a 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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