Interactions and magnetism in graphene boundary states

Abstract

We analyze interaction effects on boundary states of single layer graphene. Near a half filled band, both short and long-ranged interactions lead to a fully spin polarized configuration. In addition, the band of boundary states acquires a finite dispersion as function of the momentum parallel to the edge, induced by the interactions. Away from half filling the wavefunction develops charge correlations similar to those in a Wigner crystal, and the spin strongly alternates with the occupation of the boundary states. For certain fillings the ground state has a finite linear momentum, leading to the formation of persistent currents.

5 pages, 4 figures

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• Magnetism and correlations in fractionally filled degenerate shells of graphene quantum dots
• Spintronics with graphene
• Zero-energy states in triangular and trapezoidal graphene structures
• Theory of the Magnetic-Field-Induced Insulator in Neutral Graphene
• Electronic States of Graphene Grain Boundaries
• Two-Dimensional Quantum ring in a Graphene Layer in the presence of a Aharonov-Bohm flux
• Spin and electronic correlations in gated graphene quantum rings
• Dirac electrons in graphene-based quantum wires and quantum dots
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• Edge states interferometry and spin rotations in zigzag graphene nanoribbons
• Tunable edge magnetism at graphene/graphane interfaces
• Enhancement of non-local exchange near isolated band-crossings in graphene
• Edge modes and non local conductance in graphene superlattices
• Non-local exchange effects in zigzag edge magnetism of neutral graphene nanoribbons
• Magnetic Phases of Graphene Nanoribbons under Potential Fluctuations
• Topological edge states of a graphene zigzag nanoribbon with spontaneous edge magnetism
• Effect of long-range interaction on graphene edge magnetism
• Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study
• Computational studies for reduced graphene oxide in hydrogen-rich environment
• Spin-spin correlations of magnetic impurities in graphene
• Interaction effects in a 1D flat band at a topological crystalline step edge
• First order ferromagnetic phase transition in the low electronic density regime of a biased graphene bilayer
• Spin-dependent transport through interacting graphene armchair nanoribbons
• Magnetic, charge, and transport properties of graphene nanoflakes
• Wigner crystallization at graphene edges
• Bistability of zigzag edge magnetism in graphene nanoribbons induced by electric field
• Graphene armchair nanoribbon single-electron transistors: The peculiar influence of end states
• Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism
• Effect of vacancies on magnetic correlations and conductance in graphene nanoflakes with realistic Coulomb interaction
• Electronic orbital angular momentum and magnetism of graphene