Collective excitations and screening in two-dimensional tilted nodal-line semimetals

Fuente: arXiv
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Main Authors: Rahimpoor, Hamid, Abedinpour, Saeed H.
Format: Preprint
Published: 2023
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author Rahimpoor, Hamid
Abedinpour, Saeed H.
author_facet Rahimpoor, Hamid
Abedinpour, Saeed H.
contents Topological nodal-line semimetals are characterized by symmetry-protected one-dimensional band-touching lines or loops, which give rise to their peculiar Fermi surfaces at low energies. Furthermore, if time-reversal or inversion symmetry breaking tilts the bands, anisotropic Fermi surfaces hosting electron and hole carriers simultaneously can also appear. We analytically investigate the linear density-density response function of a two-dimensional tilted nodal-line semimetal in the intrinsic and doped regimes. Despite the anisotropic electronic bands, the polarizability remains isotropic in our model system. We find that the plasmon dispersion in the long wavelength limit exhibits a standard behavior that is proportional to the square root of the wave vector, characteristic of two-dimensional electron liquids. Tilting tends to enhance the plasmon frequency, and the Drude weight does not depend on the carrier density at low doping levels. In these regimes, unlike the intrinsic and highly-doped ones, the static polarizability has two distinct singularities at finite wave vectors. This results in beat patterns in the Friedel oscillations.
format Preprint
id arxiv_https___arxiv_org_abs_2310_03835
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Collective excitations and screening in two-dimensional tilted nodal-line semimetals
Rahimpoor, Hamid
Abedinpour, Saeed H.
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Topological nodal-line semimetals are characterized by symmetry-protected one-dimensional band-touching lines or loops, which give rise to their peculiar Fermi surfaces at low energies. Furthermore, if time-reversal or inversion symmetry breaking tilts the bands, anisotropic Fermi surfaces hosting electron and hole carriers simultaneously can also appear. We analytically investigate the linear density-density response function of a two-dimensional tilted nodal-line semimetal in the intrinsic and doped regimes. Despite the anisotropic electronic bands, the polarizability remains isotropic in our model system. We find that the plasmon dispersion in the long wavelength limit exhibits a standard behavior that is proportional to the square root of the wave vector, characteristic of two-dimensional electron liquids. Tilting tends to enhance the plasmon frequency, and the Drude weight does not depend on the carrier density at low doping levels. In these regimes, unlike the intrinsic and highly-doped ones, the static polarizability has two distinct singularities at finite wave vectors. This results in beat patterns in the Friedel oscillations.
title Collective excitations and screening in two-dimensional tilted nodal-line semimetals
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2310.03835