Exact diagonalization study of the tunable edge magnetism in graphene
arXiv:1103.1645 · doi:10.1103/PhysRevB.83.195432
Abstract
The tunable magnetism at graphene edges with lengths of up to 48 unit cells is analyzed by an exact diagonalization technique. For this we use a generalized interacting one-dimensional model which can be tuned continuously from a limit describing graphene zigzag edge states with a ferromagnetic phase, to a limit equivalent to a Hubbard chain, which does not allow ferromagnetism. This analysis sheds light onto the question why the edge states have a ferromagnetic ground state, while a usual one-dimensional metal does not. Essentially we find that there are two important features of edge states: (a) umklapp processes are completely forbidden for edge states; this allows a spin-polarized ground state. (b) the strong momentum dependence of the effective interaction vertex for edge states gives rise to a regime of partial spin-polarization and a second order phase transition between a standard paramagnetic Luttinger liquid and ferromagnetic Luttinger liquid.
11 pages, 8 figures
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- Strong correlations at topological insulator surfaces and the breakdown of the bulk-boundary correspondence
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- Bistability of zigzag edge magnetism in graphene nanoribbons induced by electric field
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- Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism
- Quantum magnetism of topologically-designed graphene nanoribbons
- Defect-induced edge ferromagnetism and fractional spin excitations of the SU(4) -flux Hubbard model on honeycomb lattice