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Title: Superdiffusive transport of energy in one-dimensional metals

Abstract

Metals in one spatial dimension are described at the lowest energy scales by the Luttinger liquid theory. It is well understood that this free theory, and even interacting integrable models, can support ballistic transport of conserved quantities including energy. In contrast, realistic one-dimensional metals, even without disorder, contain integrability-breaking interactions that are expected to lead to thermalization and conventional diffusive linear response. We argue that the expansion of energy when such a nonintegrable Luttinger liquid is locally heated above its ground state shows superdiffusive behavior (i.e., spreading of energy that is intermediate between diffusion and ballistic propagation), by combining an analytical anomalous diffusion model with numerical matrix-product–state calculations on a specific perturbed spinless fermion chain. Different metals will have different scaling exponents and shapes in their energy spreading, but the superdiffusive behavior is stable and should be visible in time-resolved experiments.

Authors:
ORCiD logo; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1630793
Grant/Contract Number:  
AC02-05-CH1123
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 117 Journal Issue: 23; Journal ID: ISSN 0027-8424
Publisher:
Proceedings of the National Academy of Sciences
Country of Publication:
United States
Language:
English

Citation Formats

Bulchandani, Vir B., Karrasch, Christoph, and Moore, Joel E. Superdiffusive transport of energy in one-dimensional metals. United States: N. p., 2020. Web. doi:10.1073/pnas.1916213117.
Bulchandani, Vir B., Karrasch, Christoph, & Moore, Joel E. Superdiffusive transport of energy in one-dimensional metals. United States. doi:https://doi.org/10.1073/pnas.1916213117
Bulchandani, Vir B., Karrasch, Christoph, and Moore, Joel E. Tue . "Superdiffusive transport of energy in one-dimensional metals". United States. doi:https://doi.org/10.1073/pnas.1916213117.
@article{osti_1630793,
title = {Superdiffusive transport of energy in one-dimensional metals},
author = {Bulchandani, Vir B. and Karrasch, Christoph and Moore, Joel E.},
abstractNote = {Metals in one spatial dimension are described at the lowest energy scales by the Luttinger liquid theory. It is well understood that this free theory, and even interacting integrable models, can support ballistic transport of conserved quantities including energy. In contrast, realistic one-dimensional metals, even without disorder, contain integrability-breaking interactions that are expected to lead to thermalization and conventional diffusive linear response. We argue that the expansion of energy when such a nonintegrable Luttinger liquid is locally heated above its ground state shows superdiffusive behavior (i.e., spreading of energy that is intermediate between diffusion and ballistic propagation), by combining an analytical anomalous diffusion model with numerical matrix-product–state calculations on a specific perturbed spinless fermion chain. Different metals will have different scaling exponents and shapes in their energy spreading, but the superdiffusive behavior is stable and should be visible in time-resolved experiments.},
doi = {10.1073/pnas.1916213117},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 23,
volume = 117,
place = {United States},
year = {2020},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
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DOI: https://doi.org/10.1073/pnas.1916213117

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