Hall number across a van Hove singularity

Hall number across a van Hove singularity 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. 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Hall number across a van Hove singularity

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Hall number across a van Hove singularity

Abstract

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. 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.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1098-0121
eISSN
1550-235X
D.O.I.
10.1103/PhysRevB.96.045132
Publisher site
See Article on Publisher Site

Abstract

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. 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.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Jul 24, 2017

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