Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering
Abstract
A strongly interacting plasma of linearly dispersing electron and hole excitations in two spatial dimensions (2D), also known as a Dirac fluid, can be captured by relativistic hydrodynamics and shares many universal features with other quantum critical systems. Here, we propose a one-dimensional (1D) model to capture key aspects of the 2D Dirac fluid while including lattice effects and being amenable to nonperturbative computation. When interactions are added to the Dirac-like 1D dispersion without opening a gap, we show that this kind of irrelevant interaction is able to preserve Fermi-liquid-like quasiparticle features while relaxing a zero-momentum charge current via collisions between particle-hole excitations, leading to resistivity that is linear in temperature via a mechanism previously discussed for large-diameter metallic carbon nanotubes. We further provide a microscopic lattice model and obtain numerical results via density-matrix renormalization group simulations, which support the above physical picture. The limits on such fast relaxation at strong coupling are of considerable interest because of the ubiquity of bad metals in experiments.
- Authors:
-
[1];
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Braunschweig Univ. of Technology (Germany)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
- OSTI Identifier:
- 2229317
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 107; Journal Issue: 10; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; electrical conductivity; transport phenomena; 1-dimensional systems; strongly correlated systems; Boltzmann theory; density matrix renormalization group; hydrodynamics; lattice models in condensed matter
Citation Formats
Wang, Yan-Qi, Rausch, Roman, Karrasch, Christoph, and Moore, Joel E. Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering. United States: N. p., 2023.
Web. doi:10.1103/physrevb.107.l100301.
Wang, Yan-Qi, Rausch, Roman, Karrasch, Christoph, & Moore, Joel E. Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering. United States. https://doi.org/10.1103/physrevb.107.l100301
Wang, Yan-Qi, Rausch, Roman, Karrasch, Christoph, and Moore, Joel E. Fri .
"Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering". United States. https://doi.org/10.1103/physrevb.107.l100301. https://www.osti.gov/servlets/purl/2229317.
@article{osti_2229317,
title = {Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering},
author = {Wang, Yan-Qi and Rausch, Roman and Karrasch, Christoph and Moore, Joel E.},
abstractNote = {A strongly interacting plasma of linearly dispersing electron and hole excitations in two spatial dimensions (2D), also known as a Dirac fluid, can be captured by relativistic hydrodynamics and shares many universal features with other quantum critical systems. Here, we propose a one-dimensional (1D) model to capture key aspects of the 2D Dirac fluid while including lattice effects and being amenable to nonperturbative computation. When interactions are added to the Dirac-like 1D dispersion without opening a gap, we show that this kind of irrelevant interaction is able to preserve Fermi-liquid-like quasiparticle features while relaxing a zero-momentum charge current via collisions between particle-hole excitations, leading to resistivity that is linear in temperature via a mechanism previously discussed for large-diameter metallic carbon nanotubes. We further provide a microscopic lattice model and obtain numerical results via density-matrix renormalization group simulations, which support the above physical picture. The limits on such fast relaxation at strong coupling are of considerable interest because of the ubiquity of bad metals in experiments.},
doi = {10.1103/physrevb.107.l100301},
journal = {Physical Review. B},
number = 10,
volume = 107,
place = {United States},
year = {Fri Mar 10 00:00:00 EST 2023},
month = {Fri Mar 10 00:00:00 EST 2023}
}
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