TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.076
TI  - Characteristic properties of a composite system of topological phases separated by gapped domain walls via an exactly solvable Hamiltonian model
PY  - 2023/11/08
UR  - https://scipost.org/SciPostPhysCore.6.4.076
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 076
A1  - Zhao, Yu
AU  - Huang, Shan
AU  - Wang, Hongyu
AU  - Hu, Yuting
AU  - Wan, Yidun
AB  - In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by gapped domain walls. There are interdomain elementary excitations labeled by a pair of anyons in different domains of this system; This system also has elementary excitations with quasiparticles in the gapped domain wall. Each set of elementary excitations corresponds to a basis of the ground states of this composite system on the torus, reflecting that the ground-state degeneracy matches the number of either set of elementary excitations. The characteristic properties of this composite system lie in the basis transformations, represented by the $S$ and $T$ matrices: The $S$ matrix encodes the mutual statistics between interdomain excitations and domain-wall quasiparticles, and the $T$ matrix encapsulates the topological spins of interdomain excitations. Our model realizes a spatial counterpart of a temporal phase transition triggered by anyon condensation, bringing the abstract theory of anyon condensation into manifestable spatial interdomain excitation states.
ER  -

@Article{10.21468/SciPostPhysCore.6.4.076,
	title={{Characteristic properties of a composite system of topological phases separated by gapped domain walls via an exactly solvable Hamiltonian model}},
	author={Yu Zhao and Shan Huang and Hongyu Wang and Yuting Hu and Yidun Wan},
	journal={SciPost Phys. Core},
	volume={6},
	pages={076},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.076},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.076},
}