RT Journal Article
T1 Gapless Hamiltonians for the Toric Code Using the Projected Entangled Pair State Formalism
A1 Fernández González, Carlos
A1 Schuch, Norbert
A1 Wolf, Michael M.
A1 Cirac, J.I.
A1 Pérez García, David
AB 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."
PB American Physical Society
SN 0031-9007
YR 2012
FD 2012-12
LK https://hdl.handle.net/20.500.14352/42540
UL https://hdl.handle.net/20.500.14352/42540
LA eng
NO Unión Europea. FP7
NO Comunidad de Madrid
NO Ministerio de Educación
NO Ministerio de Economía y Competitividad (MINECO)
NO Gordon and Betty Moore Foundation through Caltech's Center for the Physics of Information
NO NSF
NO ARO
DS Docta Complutense
RD 11 may 2025