Tilt-controlled Drude anisotropy in nodal-line semimetals: logarithmic enhancement, interband correction, gauge consistency, and the Landau-damping window
Abstract
We study the anisotropic charge response of a three-dimensional tilted nodal-line semimetal in which the tilt enters the spectrum through an identity term and acts as the model control parameter. Using the Kubo formula with line-integral vertices, we show that the tilt-induced deformation of the low-energy phase space produces parametrically different longitudinal and transverse Drude responses: the longitudinal weight grows logarithmically as Dzz=Bln(1/δ) with the analytically determined coefficient B=g/(2π)2---within the window in which the Fermi-surface tail lies inside the ultraviolet cutoff, while at a fixed physical cutoff the weight saturates instead at a cutoff-set plateau---whereas the transverse weight follows a stronger algebraic scaling D⊥∼δ−1; the leading √δ corrections to both asymptotic forms are obtained analytically. The interband polarization retains the q2 long-wavelength structure, with a coefficient that is infrared-integrable through Pauli blocking at finite doping yet carries a slow ultraviolet logarithm; it renormalizes the collective mode multiplicatively and sets the interband absorption threshold ωc=2μ/(1+|ηz|). A self-consistent solution of the plasmon dispersion identifies a tilt-dependent damping-free window bounded by the interband continuum. We predict that the type-II extension of this window, within the stated bandwidth (Brillouin-zone-like) cutoff regularization, contains a candidate low-frequency acoustic-like branch outside the particle--hole continua for ηz≳1.2 over a finite window in momentum transfer.
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BibTeX
@misc{li2026tiltcontrolled,
title = {{Tilt-controlled Drude anisotropy in nodal-line semimetals: logarithmic enhancement, interband correction, gauge consistency, and the Landau-damping window}},
author = {Wei Li and Jing-Rong Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26639},
eprint = {2609.26639},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26639},
}
RIS
TY - UNPB
TI - Tilt-controlled Drude anisotropy in nodal-line semimetals: logarithmic enhancement, interband correction, gauge consistency, and the Landau-damping window
AU - Wei Li
AU - Jing-Rong Wang
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26639
UR - https://arxiv.org/abs/2609.26639
AB - We study the anisotropic charge response of a three-dimensional tilted nodal-line semimetal in which the tilt enters the spectrum through an identity term and acts as the model control parameter. Using the Kubo formula with line-integral vertices, we show that the tilt-induced deformation of the low-energy phase space produces parametrically different longitudinal and transverse Drude responses: the longitudinal weight grows logarithmically as D_zz=Bln(1/δ) with the analytically determined coefficient B=g/(2π)^2---within the window in which the Fermi-surface tail lies inside the ultraviolet cutoff, while at a fixed physical cutoff the weight saturates instead at a cutoff-set plateau---whereas the transverse weight follows a stronger algebraic scaling D_⊥∼δ^−1; the leading √δ corrections to both asymptotic forms are obtained analytically. The interband polarization retains the q^2 long-wavelength structure, with a coefficient that is infrared-integrable through Pauli blocking at finite doping yet carries a slow ultraviolet logarithm; it renormalizes the collective mode multiplicatively and sets the interband absorption threshold ω_c=2μ/(1+|η_z|). A self-consistent solution of the plasmon dispersion identifies a tilt-dependent damping-free window bounded by the interband continuum. We predict that the type-II extension of this window, within the stated bandwidth (Brillouin-zone-like) cutoff regularization, contains a candidate low-frequency acoustic-like branch outside the particle--hole continua for η_z≳1.2 over a finite window in momentum transfer.
ER -