Coupled charge and valley excitations in graphene quantum Hall ferromagnets

Details Coupled charge and valley excitations in graphene quantum Hall ferromagnets Coupled charge and valley excitations in graphene quantum Hall ferromagnets

2008-03-17

arxiv.org/abs/0803.2418v2

Phys. Rev. B 77, 235426 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevB.77.235426

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-type low-energy spectrum. In a strong magnetic field, where Coulomb interactions dominate against disorder broadening, quantum Hall ferromagnetic states realize at integer fillings. Extending the quantum Hall ferromagnetism to the fractional filling case of massless Dirac fermions, we study the elementally charge excitations which couple with the valley degrees of freedom (so-called valley skyrmions). With the use of the density matrix renomalization group (DMRG) method, the excitation gaps are calculated and extrapolated to the thermodynamic limit. These results exhibit numerical evidences and criterions of the skyrmion excitations in graphene.

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