Symmetry Breaking and Lattice Kirigami

Castro, Eduardo V. (CeFEMA, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal) (Centro de Física das Universidades do Minho e Porto, Departamento de Física e Astronomia, Faculdade de Ciéncias, Universidade do Porto, 4169-007 Porto, Portugal) (Beijing Computational Science Research Center, Beijing 100084, China) ; Flachi, Antonino (Department of Physics and Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, Kanagawa 223-8521, Japan) ; Ribeiro, Pedro (CeFEMA, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal) ; Vitagliano, Vincenzo (Department of Physics and Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, Kanagawa 223-8521, Japan)

03 December 2018

Abstract: We consider an interacting quantum field theory on a curved two-dimensional manifold that we construct by geometrically deforming a flat hexagonal lattice by the insertion of a defect. Depending on how the deformation is done, the resulting geometry acquires a locally nonvanishing curvature that can be either positive or negative. Fields propagating on this background are forced to satisfy boundary conditions modulated by the geometry and that can be assimilated by a nondynamical gauge field. We present an explicit example where curvature and boundary conditions compete in altering the way symmetry breaking takes place, resulting in a surprising behavior of the order parameter in the vicinity of the defect. The effect described here is expected to be generic and of relevance in a variety of situations.


Published in: Physical Review Letters 121 (2018)
Published by: APS
DOI: 10.1103/PhysRevLett.121.221601
arXiv: 1803.09495
License: CC-BY-4.0



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