Spin- and band-ferromagnetism in trilayer graphene

Details Spin- and band-ferromagnetism in trilayer graphene Spin- and band-ferromagnetism in trilayer graphene

2011-08-11

arxiv.org/abs/1108.2445v2

Phys. Rev. B 84, 155446 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages/ 8 figures

Scientific paper

10.1103/PhysRevB.84.155446

We study the ground state properties of an ABA-stacked trilayer graphene. The low energy band structure can be described by a combination of both a linear and a quadratic particle-hole symmetric dispersions, reminiscent of monolayer- and bilayer-graphene, respectively. The multi-band structure offers more channels for instability towards ferromagnetism when the Coulomb interaction is taken into account. Indeed, if one associates a pseudo-spin 1/2 degree of freedom to the bands (parabolic/linear), it is possible to realize also a band-ferromagnetic state, where there is a shift in the energy bands, since they fill up differently. By using a variational procedure, we compute the exchange energies for all possible variational ground states and identify the parameter space for the occurrence of spin- and band-ferromagnetic instabilities as a function of doping and interaction strength.

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