NMR parameters in gapped graphene systems

TL;DR

This paper calculates nuclear magnetic resonance parameters in gapped graphene, analyzing how the energy gap influences relaxation time and Knight shift under different scenarios and conditions.

Contribution

It provides a comparative analysis of NMR parameters in massive and massless gapped graphene systems, highlighting the effects of the energy gap and chemical potential.

Findings

At the Dirac point, the energy gap significantly affects NMR parameters in the massless gap scenario.

At high chemical potential, both gap scenarios yield similar NMR behaviors, resembling a Fermi gas.

Results are relevant for NMR measurements of $^{13}$C in graphene samples.

Abstract

We calculate the nuclear spin-lattice relaxation time and the Knight shift for the case of gapped graphene systems. Our calculations consider both the massive and massless gap scenarios. Both the spin-lattice relaxation time and the Knight shift depend on temperature, chemical potential, and the value of the electronic energy gap. In particular, at the Dirac point, the electronic energy gap has stronger effects on the system nuclear magnetic resonance parameters in the case of the massless gap scenario. Differently, at large values of the chemical potential, both gap scenarios behave in a similar way and the gapped graphene system approaches a Fermi gas from the nuclear magnetic resonance parameters point of view. Our results are important for nuclear magnetic resonance measurements that target the $^{13}$C active nuclei in graphene samples.