Magnetic Susceptibility of Graphene by Gaussian Correction

Abstract

In the present paper, we compute the magnetic susceptibility of graphene by using Gaussian correction. The collective excitations away from Fermi points of graphene are gapless, chiral fermions, with linear dispersion. The system is modeled as N massless Dirac fermions in two spatial dimensions interacting with 1/r Coulomb interactions. We find that the magnetic susceptibility is suppressed by the interaction between these collective excitations. And it has ln T correction due to the long-ranged Coulomb interaction, which is different from Landau Fermi liquid theory.

Unconventional and Exotic Magnetism in Carbon-Based Structures and Related Materials

“…C 60 and the other fullerenes exhibit both diamagnetic and paramagnetic ring currents, which exert subtle effects on the magnetic properties of these molecules and provide evidence for the existence of π-electrons mobile in three dimensions. In general, all known carbon allotropes exhibit diamagnetic susceptibility 153,154,155,156,157,158,159,160,161,162,163,164 with a few exceptions. The polymerized C 60 prepared in a two-dimensional rhombohedral phase (depending on the orientation of the magnetic field relative to the polymerized planes) shows weak ferromagnetic signal in some experiments.…”

“…They found that the levitating graphite disk rotates at over 200 rpm under the sunlight, making it possible to develop a new class of light energy conversion system. A physical property of particular interest regarding all the aforementioned carbon allotropes is the magnetic susceptibility, 153,154,155,156,157,158,159,160,161,162,163,164 χ b , since this bulk probe is related to the low energy electronic spectrum. The relationship between the magnetization induced in a material M and the external field H is defined as:…”

“…In general, all known carbon allotropes exhibit diamagnetic susceptibility 153,154,155,156,157,158,159,160,161,162,163,164 with a few exceptions. The polymerized C 60 prepared in a two-dimensional rhombohedral phase (depending on the orientation of the magnetic field relative to the polymerized planes) shows weak ferromagnetic signal in some experiments.…”

Physical properties of the spin Hamiltonian on honeycomb lattice samples with Kekulé and vacuum polarization corrections

“…By following this path, we are able to obtain the interaction potentials necessary to simulate the physical properties of graphene that we wish to explore considering the electron-electron scattering mediated by the exchange of a Kekulé boson. We also compared our results with the works of [42,21], where the specific heat and susceptibility of graphene were analyzed theoretically using renormalization group and gaussian correction methods for low temperatures.…”