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• W2896965610 abstract "We propose an index for pairs of a unitary map and a clustering state on many-body quantum systems. We require the map to conserve an integer-valued charge and to leave the state, e.g. a gapped ground state, invariant. This index is integer-valued and stable under perturbations. In general, the index measures the charge transport across a fiducial line. We show that it reduces to (i) an index of projections in the case of non-interacting fermions, (ii) the charge density for translational invariant systems, and (iii) the quantum Hall conductance in the two-dimensional setting without any additional symmetry. Example (ii) recovers the Lieb–Schultz–Mattis theorem, and (iii) provides a new and short proof of quantization of Hall conductance in interacting many-body systems." @default.
• W2896965610 created "2018-10-26" @default.
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• W2896965610 date "2019-07-29" @default.
• W2896965610 modified "2023-10-14" @default.
• W2896965610 title "A Many-Body Index for Quantum Charge Transport" @default.
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• W2896965610 doi "https://doi.org/10.1007/s00220-019-03537-x" @default.
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