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Title: Hall number across a van Hove singularity

Abstract

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:
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)
OSTI Identifier:
1441317
Alternate Identifier(s):
OSTI ID: 1372542
Report Number(s):
LA-UR-17-30755
Journal ID: ISSN 2469-9950
Grant/Contract Number:
AC52-06NA25396; DMR 1608055
Resource Type:
Journal Article: 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)
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

Citation Formats

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., 2017. 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. Mon . "Hall number across a van Hove singularity". United States. doi:10.1103/PhysRevB.96.045132.
@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 = {Mon Jul 24 00:00:00 EDT 2017},
month = {Mon Jul 24 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 24, 2018
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  • Cited by 3
  • We characterize the nature of the Van Hove singularity near the Fermi energy ([ital E][sub [ital F]]) in YBa[sub 2]Cu[sub 4]O[sub 8] using ultrahigh energy resolution (10 meV) angle-resolved photoemission spectroscopy, together with corresponding first-principles spectra intensity computations. The singularity, related to CuO[sub 2] planes, is located about 19 meV below [ital E][sub [ital F]] at the [ital Y] point in the Brillouin zone and arises from a band which is nearly dispersionless along the [Gamma] to [ital Y] direction. Such an extended'' saddle point would render the band structure quasi-1D and yield a power law divergence in the densitymore » of states, allowing the occurrence of [ital T][sub [ital c]]'s of order 100 K even in a weak coupling BCS scheme.« less
  • We describe an ordering mechanism that arises due to coupling between electronic states at van Hove singularities. This novel mechanism, which naturally leads to ordered structures with small unit cells, couples states near the Fermi energy which are localized at high-symmetry points in {bold k} space, in contrast to the conventional mechanism which relies on large parallel sheets of Fermi surface. Using first-principles calculations of the electronic structure of ordered and disordered alloys, we show that this mechanism drives the unusual short- and long-range order found in fcc CuPt.
  • Recent theoretical and (photoemission) experimental results greatly strengthen the case for the saddle point van Hove singularity (vHs) playing an important role in the cuprate superconductors. The vHs signals a change in the topology of the Fermi surface - usually from electronlike to holelike orbits. Thus, near the vHs, there can be tunneling between the different Fermi surface sections. This orbital switching bears some resemblance to magnetic breakdown, but is a distinct phenomenon. In the presence of finite orbit switching, the electronic orbits can form a quantum coherent network.
  • The Fermi energy is shown to be pinned near a van Hove singularity for an extended doping range in the one-band and three-band Hubbard models as a consequence of filling dependent band renormalizations.