$\nu =2$ Bilayer Quantum Hall System in Tilted Magnetic Field

Abstract

We report on a theoretical study of $\nu =2$ bilayer quantum Hall systems with a magnetic field that has a component parallel to the layers. As in the $\nu =1$ case, interlayer phase coherence is closely coupled to electron correlations and the Aharonov-Bohm phases introduced by a parallel magnetic field can have a strong influence on the ground state of the system. We find that response of a $\nu =2$ system to a parallel field is more subtle than that of a $\nu =1$ system because of the interplay between spin and layer degrees of freedom. There is no commensurate-incommensurate transition as the parallel field is increased. Instead, we find a new phase transition which can occur in fixed parallel field as the interlayer bias potential is varied. The transition is driven by the competition between canted antiferromagnetic order and interlayer phase coherence in the presence of the parallel field. We predict a strong singularity in the differential capacitance of the bilayer which can be used to detect the phase transition.

11 pages, 6 figures. The final version, to appear in PRB

References in corpus (5)

• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Is there a d.c. Josephson Effect in Bilayer Quantum Hall Systems?
• Microscopic Functional Integral Theory of Quantum Fluctuations in Double-Layer Quantum Hall Ferromagnets
• Incommensurate ground state of double-layer quantum Hall systems
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Cited by in corpus (6)

• Metallic Quantum Ferromagnets
• Spontaneous Symmetry Breaking and Exotic Quantum Order in Integer Quantum Hall Systems under a Tilted Magnetic Field
• Observation of an in-plane magnetic-field-driven phase transition in a quantum Hall system with SU(4) symmetry
• Spontaneous interlayer exciton coherence in quantum Hall bilayers at nu=1 and nu=2: a tutorial
• Global Phase Diagram of nu = 2 Quantum Hall Bilayers in Tilted Magnetic Field
• Collective Modes of nu =2 Quantum Hall Bilayers in Tilted Magnetic Field