Nuclear Spin Relaxation Time due to the Orbital Currents in Dirac Electron Systems

Abstract

The nuclear spin relaxation time $T_1$ is calculated taking account of the contributions from orbital currents of Dirac electrons. We consider a simple model of non-interacting Dirac electron gas in the three-dimensional bulk system. The obtained result shows $T^3$ dependence of $1/T_1$ at temperatures $T$ above the energy gap. This temperature dependence agrees qualitatively with the recent $\beta$-NMR experiment on the bulk of the topological insulator ${\mathrm{Bi}}_{0.9}{\mathrm{Sb}}_{0.1}$.

arXiv comment5 pages, 3 figures

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• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Ionic and electronic properties of the topological insulator Bi${}_2$Te${}_2$Se investigated using $\beta$-detected nuclear magnetic relaxation and resonance of ${}^8$Li
• Local Observations of Orbital Diamagnetism and Excitation in Three-Dimensional Dirac Fermion Systems Bi${}_{1-x}$Sb${}_x$
• Lorentz Covariance of Dirac Electrons in Solids: Dielectric and Diamagnetic Properties
• Nuclear spin relaxation rate near the disorder-driven quantum critical point in Weyl fermion systems
• Site-dependent Local Spin Susceptibility and Low-energy Excitation in a Weyl Semimetal WTe${}_2$
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