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Gapless Hamiltonians for the Toric Code Using the Projected Entangled Pair State Formalism

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Fernández González, Carlos and Schuch, Norbert and Wolf, Michael M. and Cirac, J.I. and Pérez García, David (2012) Gapless Hamiltonians for the Toric Code Using the Projected Entangled Pair State Formalism. Physical Review Letters, 109 (26). ISSN 0031-9007

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Official URL: http://prl.aps.org/pdf/PRL/v109/i26/e260401


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Abstract

We study Hamiltonians which have Kitaev's toric code as a ground state, and show how to construct a Hamiltonian which shares the ground space of the toric code, but which has gapless excitations with a continuous spectrum in the thermodynamic limit. Our construction is based on the framework of projected entangled pair states, and can be applied to a large class of two-dimensional systems to obtain gapless "uncle Hamiltonians."


Item Type:Article
Uncontrolled Keywords:Toric code
Subjects:Sciences > Mathematics
ID Code:19863
Deposited On:07 Feb 2013 12:29
Last Modified:20 Apr 2015 12:27

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