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Title: Hall number across a van Hove singularity

In this paper, in the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number n H of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We find a universal nonanalytic dependence of n H on the electron density in the high-field limit, but a nonsingular dependence at low fields. Finally, the existence of an assumed nematic transition produces a doping dependent n H similar to that observed in recent experiments in the high-temperature superconductor YBa 2Cu 3O 7-x.
Authors:
 [1] ;  [1] ;  [2] ;  [3] ;  [1]
  1. Stanford Univ., CA (United States). Dept. of Physics
  2. Stanford Univ., CA (United States). Dept. of Physics; Cornell Univ., Ithaca, NY (United States). Dept. of Physics
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Cornell Univ., Ithaca, NY (United States). Lab. of Atomic and Solid State Physics
Publication Date:
Report Number(s):
LA-UR-17-30755
Journal ID: ISSN 2469-9950
Grant/Contract Number:
AC52-06NA25396; DMR 1608055
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 4; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Stanford Univ., CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; conductivity; Fermi surface; Hall effect; metals; quantum phase transitions; superconductivity
OSTI Identifier:
1441317
Alternate Identifier(s):
OSTI ID: 1372542

Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., and Kivelson, S. A.. Hall number across a van Hove singularity. United States: N. p., Web. doi:10.1103/PhysRevB.96.045132.
Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., & Kivelson, S. A.. Hall number across a van Hove singularity. United States. doi:10.1103/PhysRevB.96.045132.
Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., and Kivelson, S. A.. 2017. "Hall number across a van Hove singularity". United States. doi:10.1103/PhysRevB.96.045132. https://www.osti.gov/servlets/purl/1441317.
@article{osti_1441317,
title = {Hall number across a van Hove singularity},
author = {Maharaj, Akash V. and Esterlis, Ilya and Zhang, Yi and Ramshaw, B. J. and Kivelson, S. A.},
abstractNote = {In this paper, in the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number nH of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We find a universal nonanalytic dependence of nH on the electron density in the high-field limit, but a nonsingular dependence at low fields. Finally, the existence of an assumed nematic transition produces a doping dependent nH similar to that observed in recent experiments in the high-temperature superconductor YBa2Cu3O7-x.},
doi = {10.1103/PhysRevB.96.045132},
journal = {Physical Review B},
number = 4,
volume = 96,
place = {United States},
year = {2017},
month = {7}
}

Works referenced in this record: