Fractal symmetric phases of matter

被引：85

作者：

Devakul, Trithep ^{[1
]}

You, Yizhi ^{[2
]}

Burnell, F. J. ^{[3
]}

Sondhi, S. L. ^{[1
]}

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[2] Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA

[3] Univ Minnesota Twin Cities, Dept Phys, Minneapolis, MN 55455 USA

来源：

SCIPOST PHYSICS | 2019年 / 6卷 / 01期

关键词：

DYNAMICS;

D O I：

10.21468/SciPostPhys.6.1.007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symmetric paramagnet and spontaneously symmetry broken phases, we construct additional fractal symmetry protected topological (FSPT) phases via a decorated defect approach. Such phases have edges along which fractal symmetries are realized projectively, leading to a symmetry protected degeneracy along the edge. Isolated excitations above the ground state are symmetry protected fractons, which cannot be moved without breaking the symmetry. In 3D, our construction leads additionally to FSPT phases protected by higher form fractal symmetries and fracton topologically ordered phases enriched by the additional fractal symmetries.

引用

页数：35

共 107 条

[1] RIGOROUS RESULTS ON VALENCE-BOND GROUND-STATES IN ANTIFERROMAGNETS [J].