Deviation from Fermi-liquid T2 resistivity caused by collective transport
Abstract
`Fermi-liquid behavior' is nowadays used as a shorthand for quadratic temperature dependence of the electrical resistivity. In a metal, for this to occur, electrons must be cooled well below the Fermi degeneracy temperature, TF. A departure from this behavior is observed at finite temperature. Here, we note that this departure has opposite signs in two distinct types of Fermi liquids. In weakly correlated ones, the upward departure implies a higher exponent of the inelastic resistivity, attributable to \textit{additional scattering} by phonons. In contrast, there is a downward deviation in strongly correlated metals, which implies either \textit{reduced scattering} or \textit{additional conduction}, as in the case of normal liquid 3He, in which a distinct contribution to heat transport by a sound mode has been recently identified. Such a channel of conduction smoothly transforms across TF to the one captured by the Bridgman formula for thermal conductivity of classical liquids. In three metals (UPt3, Sr2RuO4, and heavily overdoped LSCO), according to the available experimental data, the normalized amplitude of excess conductivity at T/TF≃0.02 is comparable to what has been seen in 3He, suggesting, without establishing, a common origin.
Versions
Related
- Fermi-liquid versus non-Fermi-liquid/'strange-metal' fits to the electrical resistivity in the quantum critical magnetic regime of an unconventional superconductor
- Transport, Hall Effect, and Collective Dynamics of Driven Particles in Active Chiral Media
- Collective excitation-mediated transport in nanoscale Josephson junctions that exhibit quantum confinement
- Transverse momentum transport and collective-mode localization in dipolar tube arrays
- Collective dipole effects amplify field-driven ion transport in amorphous Li3PO4
BibTeX
@misc{behnia2026deviation,
title = {{Deviation from Fermi-liquid $T^2$ resistivity caused by collective transport}},
author = {Kamran Behnia},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05724},
eprint = {2609.05724},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05724},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Deviation from Fermi-liquid T^2 resistivity caused by collective transport
AU - Kamran Behnia
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.05724
UR - https://arxiv.org/abs/2609.05724
AB - `Fermi-liquid behavior' is nowadays used as a shorthand for quadratic temperature dependence of the electrical resistivity. In a metal, for this to occur, electrons must be cooled well below the Fermi degeneracy temperature, T_F. A departure from this behavior is observed at finite temperature. Here, we note that this departure has opposite signs in two distinct types of Fermi liquids. In weakly correlated ones, the upward departure implies a higher exponent of the inelastic resistivity, attributable to \textit{additional scattering} by phonons. In contrast, there is a downward deviation in strongly correlated metals, which implies either \textit{reduced scattering} or \textit{additional conduction}, as in the case of normal liquid ^3He, in which a distinct contribution to heat transport by a sound mode has been recently identified. Such a channel of conduction smoothly transforms across T_F to the one captured by the Bridgman formula for thermal conductivity of classical liquids. In three metals (UPt_3, Sr_2RuO_4, and heavily overdoped LSCO), according to the available experimental data, the normalized amplitude of excess conductivity at T/T_F≃0.02 is comparable to what has been seen in ^3He, suggesting, without establishing, a common origin.
ER -