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- W2904238538 abstract "Despite the success in describing a range of quantum many-body states using tensor networks, there is a no-go theorem that rules out strictly local tensor networks as topologically nontrivial ground states of gapped parent Hamiltonians with short-range (including exponentially decaying) couplings. In this paper, we show that for free fermions, strictly local tensor networks may describe nonzero temperature averages with respect to gapped Hamiltonians with exponentially decaying couplings. Parent Hamiltonians in this sense may be constructed for any dimensionality and without any obstructions due to their topology. Conversely, we also show that thermal averages with respect to gapped, strictly short-range free-fermion Hamiltonians can be calculated by tensor networks whose links decay exponentially with distance. We also describe a truncation-reconstruction scheme for such tensor networks that leads to a controlled approximation of exact averages in terms of a sequence of related thermal averages. We illustrate our scheme on the two-dimensional Haldane honeycomb model considering both topological and nontopological phases." @default.
- W2904238538 created "2018-12-22" @default.
- W2904238538 creator A5008870952 @default.
- W2904238538 creator A5029624789 @default.
- W2904238538 creator A5059722707 @default.
- W2904238538 date "2019-05-14" @default.
- W2904238538 modified "2023-10-14" @default.
- W2904238538 title "Strictly local tensor networks for topological insulators with short-range interactions" @default.
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- W2904238538 doi "https://doi.org/10.1103/physrevb.99.195125" @default.
- W2904238538 hasPublicationYear "2019" @default.
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