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Bibliographic Details
Main Authors: Hirsbrunner, Mark R., Gray, Alexander D., Hughes, Taylor L.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2308.05796
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author Hirsbrunner, Mark R.
Gray, Alexander D.
Hughes, Taylor L.
author_facet Hirsbrunner, Mark R.
Gray, Alexander D.
Hughes, Taylor L.
contents Previous work has shown that time-reversal symmetric Weyl semimetals with a quadrupolar arrangement of first-order Weyl nodes exhibit a mixed crystalline-electromagnetic response. For systems with higher order Weyl nodes, which are attached to both surface and hinge Fermi arcs, additional phenomena appear on surfaces of codimension $n>1$, such as electromagnetic responses of the hinges. Here we construct a model possessing a quadrupole of higher order Weyl nodes to study the interplay between higher order topology and mixed crystalline-electromagnetic responses. We show that the higher order nature of the Weyl nodes yields a dipole of Dirac nodes on certain surfaces, leading to a mixed crystalline-electromagnetic \emph{surface} response that binds charge to dislocations and momentum-density to magnetic fields. In addition, we show that the model possesses a bulk quadrupole moment of crystal-momentum that provides a link between the bulk and surface responses of the system.
format Preprint
id arxiv_https___arxiv_org_abs_2308_05796
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Crystalline-electromagnetic responses of higher order topological semimetals
Hirsbrunner, Mark R.
Gray, Alexander D.
Hughes, Taylor L.
Mesoscale and Nanoscale Physics
Previous work has shown that time-reversal symmetric Weyl semimetals with a quadrupolar arrangement of first-order Weyl nodes exhibit a mixed crystalline-electromagnetic response. For systems with higher order Weyl nodes, which are attached to both surface and hinge Fermi arcs, additional phenomena appear on surfaces of codimension $n>1$, such as electromagnetic responses of the hinges. Here we construct a model possessing a quadrupole of higher order Weyl nodes to study the interplay between higher order topology and mixed crystalline-electromagnetic responses. We show that the higher order nature of the Weyl nodes yields a dipole of Dirac nodes on certain surfaces, leading to a mixed crystalline-electromagnetic \emph{surface} response that binds charge to dislocations and momentum-density to magnetic fields. In addition, we show that the model possesses a bulk quadrupole moment of crystal-momentum that provides a link between the bulk and surface responses of the system.
title Crystalline-electromagnetic responses of higher order topological semimetals
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2308.05796