{
  "id": "1912.11996",
  "version": "v1",
  "published": "2019-12-27T05:46:47.000Z",
  "updated": "2019-12-27T05:46:47.000Z",
  "title": "Nuclear spin relaxation rate near the disorder-driven quantum critical point in Weyl fermion systems",
  "authors": [
    "Tomoki Hirosawa",
    "Hideaki Maebashi",
    "Masao Ogata"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Disorder such as impurities and dislocations in Weyl semimetals (SMs) drives a quantum critical point (QCP) where the density of states at the Weyl point gains a non-zero value. Near the QCP, the asymptotic low energy singularities of physical quantities are controlled by the critical exponents $\\nu$ and $z$. The nuclear spin-lattice relaxation rate, which originates from the hyperfine coupling between a nuclear spin and long-range orbital currents in Weyl fermion systems, shows intriguing critical behavior. Based on the self-consistent Born approximation for impurities, we study the nuclear spin-lattice relaxation rate $1/T_1$ due to the orbital currents in disordered Weyl SMs. We find that $(T_1T)^{-1}\\sim E^{2/z}$ at the QCP where $E$ is the maximum of temperature $T$ and chemical potential $\\mu(T)$ relative to the Weyl point. This scaling behavior of $(T_1T)^{-1}$ is also confirmed by the self-consistent $T$-matrix approximation, where a remarkable temperature dependence of $\\mu(T)$ could play an important role. We hope these results of $(T_1T)^{-1}$ will serve as an impetus for exploration of the disorder-driven quantum criticality in Weyl materials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-27T05:46:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nuclear spin relaxation rate",
      "weyl fermion systems",
      "disorder-driven quantum critical point",
      "nuclear spin-lattice relaxation rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}