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arXiv 1803.09495hep-thcond-mat.str-elgr-qcmath-phmath.MP
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对称破缺与格Kirigami

Symmetry Breaking and Lattice Kirigami

Eduardo V. Castro, Antonino Flachi, Pedro Ribeiro, Vincenzo Vitagliano

备注：
6 pages; 2 figures
发表信息：
Phys. Rev. Lett. 121, 221601 (2018)
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摘要：

在这项工作中，我们考虑一个相互作用的量子场论上的弯曲的二维流形，我们构造的几何变形的平面六角形晶格的插入缺陷。根据变形的方式，生成的几何体会获得一个局部非零曲率，该曲率可以是正的，也可以是负的。在这种背景下传播的场被迫满足由几何形状调制的边界条件，并且可以被非动力学规范场同化。我们提出了一个明确的例子，曲率和边界条件的竞争，在改变对称性破缺发生的方式，导致在一个令人惊讶的行为的序参量在附近的缺陷。这里所描述的效果预计是通用的，并在各种情况下具有相关性。

英文摘要：

In this work 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 non-vanishing 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 non-dynamical 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 behaviour 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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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