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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.
 [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):
Journal ID: ISSN 2469-9950
Grant/Contract Number:
AC52-06NA25396; DMR 1608055
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 4; Journal ID: ISSN 2469-9950
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
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; conductivity; Fermi surface; Hall effect; metals; quantum phase transitions; superconductivity
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1372542