Spin- and band-ferromagnetism in trilayer graphene

Abstract

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.

9 pages/ 8 figures

References in corpus (11)

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Cited by in corpus (7)

• Interacting electrons on trilayer honeycomb lattices
• New Dirac points and multiple Landau level crossings in biased trilayer graphene
• Hund's Rules for the N=0 Landau Levels of Trilayer Graphene
• Ferromagnetism in ABC-trilayer graphene
• Flat band electrons and interactions in rhombohedral trilayer graphene
• Screening in multilayer graphene
• Vacancy induced zero energy modes in graphene stacks: The case of ABC trilayer