PIRSA:18020088

Projective symmetry of partons in the Kitaev honeycomb model

Mellado, P. (2018). Projective symmetry of partons in the Kitaev honeycomb model. Perimeter Institute. https://pirsa.org/18020088

Mellado, Paula. Projective symmetry of partons in the Kitaev honeycomb model. Perimeter Institute, Feb. 27, 2018, https://pirsa.org/18020088 

          @misc{ pirsa_PIRSA:18020088,
            doi = {10.48660/18020088},
            url = {https://pirsa.org/18020088},
            author = {Mellado, Paula},
            keywords = {Condensed Matter},
            language = {en},
            title = {Projective symmetry of partons in the Kitaev honeycomb model},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {feb},
            note = {PIRSA:18020088 see, \url{https://pirsa.org}}
          }

Paula Mellado

Universidad Adolfo Ibáñez

Talk number
PIRSA:18020088
Collection
Talk Type
Subject
Abstract

Low-energy states of quantum spin liquids are thought to involve partons living in a gauge-field background. We study the spectrum of Majorana fermions of the Kitaev honeycomb model on spherical clusters. The gauge field endows the partons with half-integer orbital angular momenta. As a consequence, the multiplicities do not reflect the point-group symmetries of the cluster, but rather its projective symmetries, operations combining physical and gauge transformations. The projective symmetry group of the ground state is the double cover of the point group.