TY - JOUR

T1 - Symmetry Breaking and Lattice Kirigami

AU - Castro, Eduardo V.

AU - Flachi, Antonino

AU - Ribeiro, Pedro

AU - Vitagliano, Vincenzo

N1 - Funding Information:
We acknowledge the support of the Japanese Ministry of Education, Culture, Sports, Science Program for the Strategic Research Foundation at Private Universities “Topological Science” (Grant No. S1511006) and of JSPS KAKENHI Grant No. 18K03626 for A. F.; the JSPS (Grant No. P17763) for V. V.; the FCT-Portugal (Grant No. UID/CTM/04540/2013) for E. V. C. and P. R.; and the Investigador FCT program (Contract No. IF/00347/2014) for P. R. A. F. is grateful to A. Beekman, K. Fukushima, T. Fujimori, M. Nitta, and R. Yoshii for discussions on various aspects of symmetry breaking and geometry, and to A. Beekman for his feedback on the manuscript.
Publisher Copyright:
© 2018 authors. Published by the American Physical Society.

PY - 2018/11/27

Y1 - 2018/11/27

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85057847797&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057847797&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.121.221601

DO - 10.1103/PhysRevLett.121.221601

M3 - Article

C2 - 30547615

AN - SCOPUS:85057847797

SN - 0031-9007

VL - 121

JO - Physical review letters

JF - Physical review letters

IS - 22

M1 - 221601

ER -