Collective Edge Modes of a Quantum Hall Ferromagnet in Graphene

Abstract

We derive an effective field-theoretical model for the one-dimensional collective mode associated with a domain wall in a quantum Hall ferromagnetic state, as realized in confined graphene systems at zero filling. To this end, we consider the coupling of a quantum spin ladder forming near a kink in the Zeeman field to the spin fluctuations of a neighboring spin polarized two-dimensional environment. It is shown, in particular, that such coupling may induce anisotropy of the exchange coupling in the legs of the ladder. Furthermore, we demonstrate that the resulting ferromagnetic spin-1/2 ladder, subject to a kinked magnetic field, can be mapped to an antiferromagnetic spin chain at zero magnetic field.

8 pages, 2 figures

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Cited by in corpus (6)

• Collective Edge Modes near the onset of a graphene quantum spin Hall state
• Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu =0$
• Spontaneous Layer Polarization and Conducting Domain Walls in the Quantum Hall Regime of Bilayer Graphene
• Collective excitations in chiral Stoner magnets
• Superfluid-Insulator transition of quantum Hall domain walls in bilayer graphene
• Helical quantum Hall Edge modes in bilayer graphene: a realization of quantum spin-ladders