Projective symmetry of partons in the Kitaev honeycomb model

APA

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

MLA

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

BibTex

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

Paula Mellado Universidad Adolfo Ibáñez

Source Repository PIRSA
Collection

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.