PIRSA:19040105

Spontaneous symmetry breaking from anyon condensation

Lu, Y. (2019). Spontaneous symmetry breaking from anyon condensation. Perimeter Institute. https://pirsa.org/19040105

Lu, Yuan-Ming. Spontaneous symmetry breaking from anyon condensation. Perimeter Institute, Apr. 24, 2019, https://pirsa.org/19040105 

          @misc{ pirsa_PIRSA:19040105,
            doi = {10.48660/19040105},
            url = {https://pirsa.org/19040105},
            author = {Lu, Yuan-Ming},
            keywords = {Condensed Matter},
            language = {en},
            title = {Spontaneous symmetry breaking from anyon condensation},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {apr},
            note = {PIRSA:19040105 see, \url{https://pirsa.org}}
          }

Yuan-Ming Lu

Talk number
PIRSA:19040105
Collection
Talk Type
Subject
Abstract
In the context of quantum spin liquids, it is long known that the condensation of fractionalized excitations will inevitably break certain physical symmetries sometimes. For example, condensing spinons will usually break spin rotation and time reversal symmetries. We generalize these phenomena to generic continuous quantum phase transitions between symmetry enriched topological orders driven by anyon condensation. We provide a generic rule to determine whether a symmetry is enforced to break across an anyon condensation transition. Using a dimensional reduction scheme, we establish a mapping between these symmetry-breaking anyon-condensation transitions in two spatial dimensions, and deconfined quantum criticality in one spatial dimension.