PIRSA:14020122

Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator

Vidal, G. & Cincio, L. (2014). Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator. Perimeter Institute. https://pirsa.org/14020122

Vidal, Guifre, and Lukasz Cincio. Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator. Perimeter Institute, Feb. 13, 2014, https://pirsa.org/14020122 

          @misc{ pirsa_PIRSA:14020122,
            doi = {10.48660/14020122},
            url = {https://pirsa.org/14020122},
            author = {Vidal, Guifre and Cincio, Lukasz},
            keywords = {},
            language = {en},
            title = {Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {feb},
            note = {PIRSA:14020122 see, \url{https://pirsa.org}}
          }
DOI 10.48660/14020122
Collection
Talk Type Conference

Abstract

Topological phases in frustrated quantum spin systems have fascinated researchers for decades. One of the earliest proposals for such a phase was the chiral spin liquid put forward by Kalmeyer and Laughlin in 1987 as the bosonic analogue of the fractional quantum Hall effect. Elusive for many years, recent times have finally seen a number of models that realize this phase. However, these models are somewhat artificial and unlikely to be found in realistic materials.
Here, we take an important step towards the goal of finding a chiral spin liquid in nature by examining a physically motivated model for a Mott insulator on the Kagome lattice with broken time-reversal symmetry. We first provide a theoretical justification for the emergent chiral spin liquid phase in terms of a network model perspective. We then present an unambiguous numerical identification and characterization of the universal topological properties of the phase, including ground state degeneracy, edge physics, and anyonic bulk excitations, by using a variety of powerful numerical probes, including the entanglement spectrum and modular transformations.