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arXiv · 1611.03875

The Hall number across a van Hove singularity

Akash V. Maharaj·Ilya Esterlis·Yi Zhang·B. J. Ramshaw·S. A. Kivelson
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Abstract

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 non-analytic dependence of $n_H$ on the electron density in the high field limit, but a non-singular dependence at low fields. 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$_2$Cu$_3$O$_{7-x}$.

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Akash V. Maharaj, Ilya Esterlis, Yi Zhang, B. J. Ramshaw, S. A. Kivelson. 2017-03-05. The Hall number across a van Hove singularity. https://doi.org/10.1103/physrevb.96.045132

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