2018
Thomas Botzung, Davide Vodola, Piero Naldesi, Markus Müller, Elisa Ercolessi, Guido Pupillo
Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires Journal Article
In: arXiv:1810.09779 [cond-mat, physics:quant-ph], 2018.
Abstract | BibTeX | Tags: Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Strongly Correlated Electrons, Quantum Physics
@article{Botzung2018,
title = {Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires},
author = {Thomas Botzung and Davide Vodola and Piero Naldesi and Markus Müller and Elisa Ercolessi and Guido Pupillo},
year = {2018},
date = {2018-10-01},
journal = {arXiv:1810.09779 [cond-mat, physics:quant-ph]},
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 $$backslash$ell$ as a power-law $1/$backslash$ell^$backslash$alpha$. Using a combination of analytical and numerical results, we demonstrate that power-law interactions imply a long-distance algebraic decay of correlations within disordered-localized phases, for all exponents $$backslash$alpha$. The exponent of algebraic decay depends only on $$backslash$alpha$, and not, e.g., on the strength of disorder. We find a similar algebraic localization for wave-functions. These results are in contrast to expectations from short-range models and are of direct relevance for a variety of quantum mechanical systems in atomic, molecular and solid-state physics.},
keywords = {Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Strongly Correlated Electrons, Quantum Physics},
pubstate = {published},
tppubtype = {article}
}
We analyze the effects of disorder on the correlation functions of one-dimensional quantum models of fermions and spins with long-range interactions that decay with distance $$backslash$ell$ as a power-law $1/$backslash$ell^$backslash$alpha$. 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 $$backslash$alpha$. The exponent of algebraic decay depends only on $$backslash$alpha$, 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.
Publications
2018
Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires Journal Article
In: arXiv:1810.09779 [cond-mat, physics:quant-ph], 2018.