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- W2169255705 abstract "Tight-binding Hamiltonians with off-diagonal disorder are studied extensively in connection with localization phenomena. For instance, applying a random magnetic field to a square lattice amounts to assigning phases to the off-diagonal entries of H. A gauge transformation simplifies the resulting H to an equivalent Hamiltonian with apparently less disorder. This paper concerns the special case when non-zero entries of a Hamiltonian H are ± 1 between nearest-neighbor sites. Some thought shows that a one-dimensional chain Hamiltonian with this type of randomness can be transformed to that of an ordered chain by flipping the signs of selected basis functions, i.e. by a unitary transformation. Hence such a chain is not disordered at all. On the other hand, whether or not a similar H for a square lattice implies actual disorder is a topological question. The question can be put this way: Can one find a set of simple closed curves such that reversing the signs of basis functions inside the curves will change all non-zero H entries to +1? More generally one can ask about the extent of residual disorder and its effect on electronic properties of the model. We take up these questions on a periodic square lattice." @default.
- W2169255705 created "2016-06-24" @default.
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- W2169255705 date "2001-10-10" @default.
- W2169255705 modified "2023-09-25" @default.
- W2169255705 title "GAUGE SIMPLIFICATION OF HAMILTONIAN WITH OFF-DIAGONAL ± 1" @default.
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- W2169255705 doi "https://doi.org/10.1142/s0217979201007634" @default.
- W2169255705 hasPublicationYear "2001" @default.
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