Magnetic Phases of Graphene Nanoribbons under Potential Fluctuations

Abstract

We investigate the effects of long-range potential fluctuations and electron-electron interactions on electronic and magnetic properties of graphene nanoribbons with zigzag edges using an extended mean-field Hubbard model. We show that electron-electron interactions make the edge states robust against potential fluctuations. When the disorder is strong enough, the presence of electron-hole puddles induces a magnetic phase transition from antiferromagnetically coupled edge states to ferromagnetic coupling, in agreement with recent experimental results.

4 pages, 6 figures

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• Defect induced Anderson localization and magnetization in graphene quantum dots
• Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
• Stability of edge magnetism against disorder in zigzag MoS${}_2$ nanoribbons
• Magnetic, charge, and transport properties of graphene nanoflakes
• Bistability of zigzag edge magnetism in graphene nanoribbons induced by electric field
• Atomic Collapse in Disordered Graphene Quantum Dots
• Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism