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arXiv · 1707.04564

Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

Iris Cong·Meng Cheng·Zhenghan Wang
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Abstract

We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations on the boundary, and systematically describe the bulk-to-boundary condensation procedure. We also present the parallel algebraic/categorical structure of gapped boundaries.

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Iris Cong, Meng Cheng, Zhenghan Wang. 2017-07-14. Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter. https://doi.org/10.1007/s00220-017-2960-4

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