Low-temperature T -linear resistivity due to umklapp scattering from a critical mode
Abstract
In this study, we consider the transport properties of a model of fermions scattered by a critical bosonic mode. The mode is overdamped and scattering is mainly in the forward direction. Such a mode appears at the quantum critical point for an electronic nematic phase transition and in gauge theories for a U(1) spin liquid. It leads to a short fermion lifetime, violating Landau's criterion for a Fermi liquid. In spite of this, transport can be described by a Boltzmann equation. We include momentum relaxation by umklapp scattering, supplemented by weak impurity scattering. We find that above a very low temperature which scales with , where is the minimum umklapp scattering vector, the resistivity is linear in with a coefficient which is independent of the amount of disorder. This picture holds until the temperature dependent part of the resistivity exceeds that due to impurity scattering. We compare the relaxation time approximation with an exact numerical solution of the Boltzmann equation. Surprisingly we find that, unlike the resistivity, the Hall coefficient strongly deviates from the relaxation time approximation and shows a strong reduction with increasing temperature. We comment on possible comparisons with experiments on high cuprates.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1849480
- Grant/Contract Number:
- FG02-03ER46076
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 3; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; electrical conductivity; magnetoresistance; transport phenomena; high-temperature superconductors; Boltzmann theory; materials science; physics
Citation Formats
Lee, Patrick A. Low-temperature T -linear resistivity due to umklapp scattering from a critical mode. United States: N. p., 2021.
Web. doi:10.1103/physrevb.104.035140.
Lee, Patrick A. Low-temperature T -linear resistivity due to umklapp scattering from a critical mode. United States. https://doi.org/10.1103/physrevb.104.035140
Lee, Patrick A. Mon .
"Low-temperature T -linear resistivity due to umklapp scattering from a critical mode". United States. https://doi.org/10.1103/physrevb.104.035140. https://www.osti.gov/servlets/purl/1849480.
@article{osti_1849480,
title = {Low-temperature T -linear resistivity due to umklapp scattering from a critical mode},
author = {Lee, Patrick A.},
abstractNote = {In this study, we consider the transport properties of a model of fermions scattered by a critical bosonic mode. The mode is overdamped and scattering is mainly in the forward direction. Such a mode appears at the quantum critical point for an electronic nematic phase transition and in gauge theories for a U(1) spin liquid. It leads to a short fermion lifetime, violating Landau's criterion for a Fermi liquid. In spite of this, transport can be described by a Boltzmann equation. We include momentum relaxation by umklapp scattering, supplemented by weak impurity scattering. We find that above a very low temperature which scales with Δq3, where Δq is the minimum umklapp scattering vector, the resistivity is linear in T with a coefficient which is independent of the amount of disorder. This picture holds until the temperature dependent part of the resistivity exceeds that due to impurity scattering. We compare the relaxation time approximation with an exact numerical solution of the Boltzmann equation. Surprisingly we find that, unlike the resistivity, the Hall coefficient strongly deviates from the relaxation time approximation and shows a strong reduction with increasing temperature. We comment on possible comparisons with experiments on high Tc cuprates.},
doi = {10.1103/physrevb.104.035140},
journal = {Physical Review. B},
number = 3,
volume = 104,
place = {United States},
year = {Mon Jul 19 00:00:00 EDT 2021},
month = {Mon Jul 19 00:00:00 EDT 2021}
}
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