Toroidal Fermi-surface geometry and phonon-limited transport in nodal-line semimetals

Fuente: arXiv
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Auteurs principaux: Anand, Aman, De Martino, Alessandro
Format: Preprint
Publié: 2026
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author Anand, Aman
De Martino, Alessandro
author_facet Anand, Aman
De Martino, Alessandro
contents Nodal-line semimetals (NLSs) can display unconventional quasiparticle dynamics and charge transport properties due to their extended band degeneracy and the peculiar geometry of their Fermi surface. We consider electron-acoustic phonon scattering as the dominant relaxation mechanism and compute the quasiparticle decay rate and dc conductivity by solving the linearized semiclassical Boltzmann equation in a minimal model of a doped circular NLS. We find that the toroidal geometry of the Fermi surface gives rise to two parametrically distinct Bloch-Grüneisen temperatures, associated with momentum transfers along the poloidal and toroidal directions, respectively. As a result, an intermediate temperature window opens between these two scales, in which the decay rate follows $Γ\propto T^2$, while the conductivity follows $σ\propto T^{-2}$. We also obtain the low- and high-temperature asymptotic behaviors, and discuss implications for ARPES and transport measurements in candidate NLS materials.
format Preprint
id arxiv_https___arxiv_org_abs_2602_18303
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Toroidal Fermi-surface geometry and phonon-limited transport in nodal-line semimetals
Anand, Aman
De Martino, Alessandro
Mesoscale and Nanoscale Physics
Nodal-line semimetals (NLSs) can display unconventional quasiparticle dynamics and charge transport properties due to their extended band degeneracy and the peculiar geometry of their Fermi surface. We consider electron-acoustic phonon scattering as the dominant relaxation mechanism and compute the quasiparticle decay rate and dc conductivity by solving the linearized semiclassical Boltzmann equation in a minimal model of a doped circular NLS. We find that the toroidal geometry of the Fermi surface gives rise to two parametrically distinct Bloch-Grüneisen temperatures, associated with momentum transfers along the poloidal and toroidal directions, respectively. As a result, an intermediate temperature window opens between these two scales, in which the decay rate follows $Γ\propto T^2$, while the conductivity follows $σ\propto T^{-2}$. We also obtain the low- and high-temperature asymptotic behaviors, and discuss implications for ARPES and transport measurements in candidate NLS materials.
title Toroidal Fermi-surface geometry and phonon-limited transport in nodal-line semimetals
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2602.18303