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Quantum Chemistry

Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires

arXiv
Authors: Thomas Botzung, Davide Vodola, Piero Naldesi, Markus Müller, Elisa Ercolessi, Guido Pupillo

Year

2018

Paper ID

23868

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

We analyze the effects of disorder on the correlation functions of one-dimensional quantum models of fermions and spins with long-range interactions that decay with distance ell as a power-law 1/ell^α. Using a combination of analytical and numerical results, we demonstrate that power-law interactions imply a long-distance algebraic decay of correlations within disordered-localized phases, for all exponents α. The exponent of algebraic decay depends only on α, and not, e.g., on the strength of disorder. We find a similar algebraic localization for wave-functions. These results are in contrast to expectations from short-range models and are of direct relevance for a variety of quantum mechanical systems in atomic, molecular and solid-state physics.

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  • We analyze the effects of disorder on the correlation functions of one-dimensional quantum models of fermions and spins with long-range interactions that decay with distance...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.09779 [2] arXiv https://arxiv.org/abs/1810.09779 [3] Publisher https://arxiv.org/abs/1810.09779

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