Ground state magnetization of conduction electrons in graphene with Zeeman effect

FEDERICO ESCUDERO; LUCAS SOURROUILLE; JUAN SEBASTIAN ARDENGHI; PAULA JASEN

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2017 p. 294 - 298

0304-8853

The aim of this work is to study the ground state magnetization of conduction electrons in graphene with Zeeman effect. We have found a critical electron density at which spin mixing occurs. From these results, we have analyzed the cases with and without spin mixing, where the oscillations given by the de Haas van Alphen (dHvA) effect are obtained. We have derived analytical expressions and we have found that the Zeeman effect modifies the magnetization by introducing new peaks associated with the spin splitting of the Landau levels. This peaks are very small for typical carrier densities in graphene, but become prominent for higher densities. It is also shown how the spin magnetization contributes to the magnetization, and how the spin mixing affects it. In particular, we have show that the spin magnetization oscillates around a positive slope as a consequence of the spin mixing, which introduces an asymmetry in the spin population. The results obtained provide insight of how the Zeeman effects modifies the magnetization and how the spin mixing affects the Pauli magnetism. This can be useful to control and manipulate the spin degrees of freedom.