Commuting Pauli Hamiltonians as Maps between Free Modules
نویسندگان
چکیده
منابع مشابه
Commuting Pauli Hamiltonians as Maps between Free Modules
We study unfrustrated spin Hamiltonians that consist of commuting tensor products of Pauli matrices. Assuming translation-invariance, we observe that the Hamiltonian is described by a map between modules over the translation group algebra, so homological methods are applicable. We show universal properties of topologically ordered phases in low spatial dimensions. Particularly, we prove that in...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2013
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-013-1810-2