Superfluid-Insulator transition of quantum Hall domain walls in bilayer graphene

Abstract

We consider the zero-filled quantum-Hall ferromagnetic state of bilayer graphene subject to a kink-like perpendicular electric field, which generates domain walls in the electronic state and low-energy collective modes confined to move along them. In particular, it is shown that two pairs of collective helical modes are formed at opposite sides of the kink, each pair consisting of modes with identical helicities. We derive an effective field-theoretical model of these modes in terms of two weakly coupled anisotropic quantum spin-ladders, with parameters tunable through control of the electric and magnetic fields. This yields a rich phase diagram, where due to the helical nature of the modes, distinct phases possess very different charge conduction properties. Most notably, this system can potentially exhibit a transition from a superfluid to an insulating phase.

4 pages + refs., 3 figures

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Cited by in corpus (9)

• Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
• Gate-controlled topological conducting channels in bilayer graphene
• Conductivity of a generic helical liquid
• Bilayer Graphene as a platform for Bosonic Symmetry Protected Topological States
• Fingerprints of bosonic symmetry protected topological state in a quantum point contact
• Transport gap and hysteretic behavior of the Ising quantum Hall ferromagnets in Landau levels $\left|N\right|>0$ of bilayer graphene
• Helical quantum Hall Edge modes in bilayer graphene: a realization of quantum spin-ladders
• Probing Layer Localization in Twisted Graphene Bilayers via Cyclotron Resonance
• Quantum Phases of a Weakly Disordered Josephson Ladder