Interlayer Magnetic Coupling and the Quantum Hall Effect in Multilayer Electron Systems

Abstract

We study the effect that the electron-electron interaction has on the properties of a multilayer electron system. We consider the case corresponding to filling factor unity in each layer. We find that as a function of the sample parameters the system has ferromagnetic, canted antiferromagnetic or paramagnetic interlayer spin correlations. These three ground states are QHE phases, because of the existence of a finite activation energy. In the ferromagnetic phase the gap is due to the intrawell exchange energy, whereas in the paramagnetic phase the gap appears due to the spatial modulation of the interwell coherence.

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References in corpus (6)

• Three-dimensional disordered conductors in a strong magnetic field: surface states and quantum Hall plateaus
• Chiral Surface States in the Bulk Quantum Hall Effect
• Double-layer quantum Hall antiferromagnetism at filling fraction nu=2/(odd integer)
• Spin-Excitation-Instability-Induced Quantum Phase Transitions in Double-Layer Quantum Hall Systems
• Scaling and Crossover Functions for the Conductance in the Directed Network Model of Edge States
• Collective Modes of Soliton-Lattice States in Double-Quantum-Well Systems

Cited by in corpus (10)

• Electromodulation of the bilayer $\nu$=2 quantum Hall phase diagram
• 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 $\nu =0$
• Notes on Infinite Layer Quantum Hall Systems
• Emergence of helical edge conduction in graphene at the ν=0 quantum Hall state
• Spin instabilities and quantum phase transitions in integral and fractional quantum Hall states
• Magnetic field induced transition in a wide parabolic well superimposed with superlattice
• Canted phase in double quantum dots
• Spin symmetry breaking in bilayer quantum Hall systems
• Antiferromagnetic Order in a Semiconductor Quantum Well with Spin-Orbit Coupling