Unusual hyperfine interaction of Dirac electrons and NMR spectroscopy in graphene

Abstract

Theory of nuclear magnetic resonance (NMR) in graphene is presented. The canonical form of the electron-nucleus hyperfine interaction is strongly modified by the linear electronic dispersion. The NMR shift and spin-lattice relaxation time are calculated as function of temperature, chemical potential, and magnetic field and three distinct regimes are identified: Fermi-, Dirac-gas, and extreme quantum limit behaviors. A critical spectrometer assessment shows that NMR is within reach for fully 13C enriched graphene of reasonable size.

5 pages, 3 figures

References in corpus (6)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Experimental realization of a quantum algorithm
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
• Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
• Hyperfine Interactions in Graphene and Related Carbon Nanostructures

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• ${}^{13}$C NMR Study on the Charge-Disproportionated Conducting State in the Quasi-Two-Dimensional Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Anomalous hyperfine coupling and nuclear magnetic relaxation in Weyl semimetals
• Nuclear spin-lattice relaxation time in TaP and the Knight shift of Weyl semimetals
• Hyperfine magnetic field in ferromagnetic graphite
• Large Diamagnetism and Electromagnetic Duality in Two-dimensional Dirac Electron System
• S-wave Superconductivity in the Dirac Line-nodal Material CaSb2
• Topological nodal line in ZrTe${}_2$ demonstrated by nuclear magnetic resonance
• Electron Correlations in the Quasi-Two-Dimensional Organic Conductor $\theta$-(BEDT-TTF)${}_2$I${}_3$ investigated by ${}^{13}$C NMR
• NMR parameters in gapped graphene systems
• Orbital hyperfine interaction and qubit dephasing in carbon nanotube quantum dots
• Nuclear spin relaxation rate near the disorder-driven quantum critical point in Weyl fermion systems
• Nuclear magnetic resonance line shapes of Wigner crystals in ${}^{13}$C-enriched graphene