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Bibliographic Details
Main Authors: Paiva, Carolina, Behrends, Jan
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.07906
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author Paiva, Carolina
Behrends, Jan
author_facet Paiva, Carolina
Behrends, Jan
contents Transport plays a key role in characterizing topological insulators and semimetals. Understanding the effect of disorder is crucial to assess the robustness of experimental signatures for topology. In this work, we find the absence of localization in nodal line semimetals for long-range scalar disorder and a large range of disorder strengths. Using a continuum transfer matrix approach, we find that the conductivity in the plane and out of the plane of the nodal line increases with system size and disorder strength. We substantiate these findings by a perturbative calculation and show that the conductivity increases with disorder strength using the Kubo formula in the self-consistent Born approximation. We also find that the system remains metallic for vector disorder and that vector disorder can drive a transition from an insulating to a metallic regime. Our results demonstrate the absence of localization in a three-dimensional bulk system.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07906
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Conductivity scaling and absence of localization in disordered nodal line semimetals
Paiva, Carolina
Behrends, Jan
Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Transport plays a key role in characterizing topological insulators and semimetals. Understanding the effect of disorder is crucial to assess the robustness of experimental signatures for topology. In this work, we find the absence of localization in nodal line semimetals for long-range scalar disorder and a large range of disorder strengths. Using a continuum transfer matrix approach, we find that the conductivity in the plane and out of the plane of the nodal line increases with system size and disorder strength. We substantiate these findings by a perturbative calculation and show that the conductivity increases with disorder strength using the Kubo formula in the self-consistent Born approximation. We also find that the system remains metallic for vector disorder and that vector disorder can drive a transition from an insulating to a metallic regime. Our results demonstrate the absence of localization in a three-dimensional bulk system.
title Conductivity scaling and absence of localization in disordered nodal line semimetals
topic Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2401.07906