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Title: Superconductivity in a strange metal

Abstract

In a gas of charged particles with the density n, mass m, and charge e, the electrical conductivity σ is given by the Drude formula: σ = ne2 /mΓ, where Γ is the scattering rate. Standard metals are well described by Landau's Fermi Liquid (FL) theory, in which the electric current is carried by quasi-particles, low-energy excitations of the FL that resemble electrons with some effective mass m*. The scattering rate Γ= 1/τ= vF/l, where t is the (momentum) relaxation) time, l is the mean-free path, and vF is the Fermi velocity, can be expressed ("Matthiessen's Rule") as a sum of contributions from various scattering channels: Γ = Γ0 + Γel-el + Γel-ph + …, where Γ0 describes scattering on lattice imperfections, Γel-el the electron-electron scattering, Γel-ph the electron-phonon scattering, etc. Of these, Γ0 = vF/l0, where l0 is the average distance between the defects, is temperature-independent. Γel-el should scale as T2 because of Fermi statistics; for two electrons to scatter on one another, both must come from the "Debye shell" of the width kBT/EF, where kB is the Boltzmann constant and EF is the Fermi energy. Γel-ph typically grows as T5, so we expect this to overwhelm the othermore » channels at a high enough T. However, since l cannot be shorter than the distance between the atoms, the total Γ saturates at Mott-Ioffe-Regel (MIR) limit, roughly vF/a0, where vF is the Fermi velocity and a0 is the lattice constant. The resistivity should also saturate at low T, at ρ0 = m*vF/ne2l0 T. FL theory also describes other electronic properties; e.g., it predicts that in the magnetic field B, the resistivity of the metal should increase with B2, because σ(B) = σ(B=0)/(1 + (ωc/Γ)2), where ωc= eB/m*.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]
+ Show Author Affiliations
  1. Westlake Univ., Hangzhou (China)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States); Yale Univ., New Haven, CT (United States)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
OSTI Identifier:
1971481
Report Number(s):
BNL-224251-2023-JAAM
Journal ID: ISSN 2095-9273; TRN: US2313571
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Science Bulletin
Additional Journal Information:
Journal Volume: 68; Journal Issue: 9; Journal ID: ISSN 2095-9273
Publisher:
Elsevier; Science China Press
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Wu, Jie, and Bozovic, Ivan. Superconductivity in a strange metal. United States: N. p., 2023. Web. doi:10.1016/j.scib.2023.03.038.
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Wu, Jie, & Bozovic, Ivan. Superconductivity in a strange metal. United States. https://doi.org/10.1016/j.scib.2023.03.038
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Wu, Jie, and Bozovic, Ivan. Mon . "Superconductivity in a strange metal". United States. https://doi.org/10.1016/j.scib.2023.03.038.
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@article{osti_1971481,
title = {Superconductivity in a strange metal},
author = {Wu, Jie and Bozovic, Ivan},
abstractNote = {In a gas of charged particles with the density n, mass m, and charge e, the electrical conductivity σ is given by the Drude formula: σ = ne2 /mΓ, where Γ is the scattering rate. Standard metals are well described by Landau's Fermi Liquid (FL) theory, in which the electric current is carried by quasi-particles, low-energy excitations of the FL that resemble electrons with some effective mass m*. The scattering rate Γ= 1/τ= vF/l, where t is the (momentum) relaxation) time, l is the mean-free path, and vF is the Fermi velocity, can be expressed ("Matthiessen's Rule") as a sum of contributions from various scattering channels: Γ = Γ0 + Γel-el + Γel-ph + …, where Γ0 describes scattering on lattice imperfections, Γel-el the electron-electron scattering, Γel-ph the electron-phonon scattering, etc. Of these, Γ0 = vF/l0, where l0 is the average distance between the defects, is temperature-independent. Γel-el should scale as T2 because of Fermi statistics; for two electrons to scatter on one another, both must come from the "Debye shell" of the width kBT/EF, where kB is the Boltzmann constant and EF is the Fermi energy. Γel-ph typically grows as T5, so we expect this to overwhelm the other channels at a high enough T. However, since l cannot be shorter than the distance between the atoms, the total Γ saturates at Mott-Ioffe-Regel (MIR) limit, roughly vF/a0, where vF is the Fermi velocity and a0 is the lattice constant. The resistivity should also saturate at low T, at ρ0 = m*vF/ne2l0 T. FL theory also describes other electronic properties; e.g., it predicts that in the magnetic field B, the resistivity of the metal should increase with B2, because σ(B) = σ(B=0)/(1 + (ωc/Γ)2), where ωc= eB/m*.},
doi = {10.1016/j.scib.2023.03.038},
journal = {Science Bulletin},
number = 9,
volume = 68,
place = {United States},
year = {Mon Mar 27 00:00:00 EDT 2023},
month = {Mon Mar 27 00:00:00 EDT 2023}
}
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https://doi.org/10.1016/j.scib.2023.03.038
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