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Topological order in the projected entangled-pair states formalism: transfer operator and boundary hamiltonians

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Schuch, Norbert and Poilblanc, Didier and Cirac, J.I. and Pérez García, David (2013) Topological order in the projected entangled-pair states formalism: transfer operator and boundary hamiltonians. Physical Review Letters, 111 (9). ISSN 0031-9007

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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.111.090501


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Abstract

We study the structure of topological phases and their boundaries in the projected entangled-pair states (PEPS) formalism. We show how topological order in a system can be identified from the structure of the PEPS transfer operator and subsequently use these findings to analyze the structure of the boundary Hamiltonian, acting on the bond variables, which reflects the entanglement properties of the system. We find that in a topological phase, the boundary Hamiltonian consists of two parts: A universal nonlocal part which encodes the nature of the topological phase and a nonuniversal part which is local and inherits the symmetries of the topological model, which helps to infer the structure of the boundary Hamiltonian and thus possibly of the physical edge modes.


Item Type:Article
Subjects:Sciences > Physics
ID Code:23178
Deposited On:15 Oct 2013 09:15
Last Modified:09 Dec 2014 09:01

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