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.
| Original language | English |
|---|---|
| Article number | 221601 |
| Journal | Physical Review Letters |
| Volume | 121 |
| Issue number | 22 |
| DOIs | |
| Publication status | Published - 2018 Nov 27 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Symmetry Breaking and Lattice Kirigami. / Castro, Eduardo V.; Flachi, Antonino; Ribeiro, Pedro; Vitagliano, Vincenzo.
In: Physical Review Letters, Vol. 121, No. 22, 221601, 27.11.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Symmetry Breaking and Lattice Kirigami
AU - Castro, Eduardo V.
AU - Flachi, Antonino
AU - Ribeiro, Pedro
AU - Vitagliano, Vincenzo
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
VL - 121
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 22
M1 - 221601
ER -