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 ${\mathrm{Bi}}_{0.9}{\mathrm{Sb}}_{0.1}$.

5 pages, 3 figures

References in corpus (7)

• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• Anomalous Orbital Magnetism and Hall Effect of Massless Fermions in Two Dimension
• Electronic Properties Close to Dirac Cone in Two-Dimensional Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Orbital Magnetism and Transport Phenomena in Two Dimensional Dirac Fermions in Weak Magnetic Field
• Anomalous hyperfine coupling and nuclear magnetic relaxation in Weyl semimetals
• Meissner Effect of Dirac Electrons in Superconducting State due to Inter-band Effect

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