PIRSA:22110105

Staying Ahead of the Curve(ature) in Topological Phases

May-Mann, J. (2022). Staying Ahead of the Curve(ature) in Topological Phases. Perimeter Institute. https://pirsa.org/22110105

May-Mann, Julian. Staying Ahead of the Curve(ature) in Topological Phases. Perimeter Institute, Nov. 17, 2022, https://pirsa.org/22110105 

          @misc{ pirsa_PIRSA:22110105,
            doi = {10.48660/22110105},
            url = {https://pirsa.org/22110105},
            author = {May-Mann, Julian},
            keywords = {Condensed Matter},
            language = {en},
            title = {Staying Ahead of the Curve(ature) in Topological Phases},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {nov},
            note = {PIRSA:22110105 see, \url{https://pirsa.org}}
          }

Julian May-Mann

University of Illinois Urbana-Champaign

Talk number
PIRSA:22110105
Collection
Talk Type
Subject
Abstract

Many topological phases of lattice systems display quantized responses to lattice defects. Notably, 2D insulators with C_n lattice rotation symmetry hosts a response where disclination defects bind fractional charge. In this talk, I will show that the underlying physics of the disclination-charge response can be understood via a theory of continuum fermions with an enlarged SO(2) rotation symmetry. This interpretation maps the response of lattice fermions to disclinations onto the response of continuum fermions to spatial curvature. Additionally, in 3D, the response of continuum fermions to spatial curvature predicts a new type of lattice response where disclination lines host a quantized polarization. This disclination-polarization response defines a new class of topological crystalline insulator that can be realized in lattice models. In total, these results show that continuum theories with spatial curvature provide novel insights into the universal features of topological lattice systems. In total, these results show that theories with spatial curvature provide novel insights into the universal features of topological lattice systems.

Zoom link:  https://pitp.zoom.us/j/97325013281?pwd=MU5tdFYzTFljMGdaelZtNjJqbmRPZz09