Tunable edge magnetism at graphene/graphane interfaces
arXiv:1004.4363 · doi:10.1103/PhysRevB.82.085422
Abstract
We study the magnetic properties of graphene edges and graphene/graphane interfaces under the influence of electrostatic gates. For this, an effective low-energy theory for the edge states, which is derived from the Hubbard model of the honeycomb lattice, is used. We first study the edge state model in a mean-field approximation for the Hubbard Hamiltonian and show that it reproduces the results of the extended 2D lattice theory. Quantum fluctuations around the mean-field theory of the effective one-dimensional model are treated by means of the bosonization technique in order to check the stability of the mean-field solution. We find that edge magnetism at graphene/graphane interfaces can be switched on and off by means of electrostatic gates. We describe a quantum phase transition between an ordinary and a ferromagnetic Luttinger liquid - a realization of itinerant one-dimensional ferromagnetism. This mechanism may provide means to experimentally discriminate between edge magnetism or disorder as the reason for a transport gap in very clean graphene nanoribbons.
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- Towards a Rigorous Proof of Magnetism on the Edges of Graphene Nano-ribbons
- Effective models for strong electronic correlations at graphene edges
- Exact diagonalization study of the tunable edge magnetism in graphene
- Symmetry and optical selection rules in graphene quantum dots
- Effect of long-range interaction on graphene edge magnetism
- Topological edge states of a graphene zigzag nanoribbon with spontaneous edge magnetism
- Disorder induced loss of magnetization in Lieb's graphene quantum dots
- Effective spin theories for edge magnetism in graphene zigzag ribbons
- Bosonic field theory of tunable edge magnetism in graphene
- Strong correlations at topological insulator surfaces and the breakdown of the bulk-boundary correspondence
- Bistability of zigzag edge magnetism in graphene nanoribbons induced by electric field
- Quantum magnetism of topologically-designed graphene nanoribbons
- Anisotropic super-spin at the end of a carbon nanotube
- Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism