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For models of non-interacting fermions moving within sites arranged on a surface in three dimensional space, there can be obstructions to finding localized Wannier functions.
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Earlier work this paper cites.
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Paul R. Halmos · 1974
Earlier work this paper cites.
Fundamentals of the theory of operator algebras. Vol. I
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Earlier work this paper cites.
Asymptotically commuting finite rank unitary operators without commuting approximants
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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