TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.6.231
TI  - Boundary states of three dimensional topological order and the deconfined quantum critical point
PY  - 2023/12/07
UR  - https://scipost.org/SciPostPhys.15.6.231
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 6
SP  - 231
A1  - Ji, Wenjie
AU  - Tantivasadakarn, Nathanan
AU  - Xu, Cenke
AB  - We study the boundary states of the archetypal three dimensional topological order, i.e. the three dimensional $\mathbb{Z}_2$ toric code. There are three distinct elementary types of boundary states that we will consider in this work. In the phase diagram that includes the three elementary boundaries there may exist a multi-critical point, which is captured by the so-called deconfined quantum critical point (DQCP) with an "easy-axis" anisotropy. Moreover, there is an emergent $\mathbb{Z}_{2,d}$ symmetry that swaps two of the boundary types, and it becomes part of the global symmetry of the DQCP. The emergent $\mathbb{Z}_{2,d}$ (where d represents "defect") symmetry on the boundary is originated from a type of surface defect in the bulk. We further find a gapped boundary with a surface topological order that is invariant under the emergent symmetry.
ER  -

@Article{10.21468/SciPostPhys.15.6.231,
	title={{Boundary states of three dimensional topological order and the deconfined quantum critical point}},
	author={Wenjie Ji and Nathanan Tantivasadakarn and Cenke Xu},
	journal={SciPost Phys.},
	volume={15},
	pages={231},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.6.231},
	url={https://scipost.org/10.21468/SciPostPhys.15.6.231},
}