Charge ordering and interlayer phase coherence in quantum Hall superlattices

Abstract

The possibility of the existence of states with a spontaneous interlayer phase coherence in multilayer electron systems in a high perpendicular to the layers magnetic field is investigated. It is shown that phase coherence can be established in such systems only within individual pairs of adjacent layers, while such coherence does not exist between layers of different pairs. The conditions for stability of the state with interlayer phase coherence against transition to a charge-ordered state are determined. It is shown that in the system with the number of layers N\leq 10 these conditions are satisfied at any value of the interlayer distance d. For N>10 there are two intervals of stability: at sufficiently large and at sufficiently small d. For N\to \infty the stability interval in the region of small d vanishes

10 pages

References in corpus (8)

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• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Observation of Quantized Hall Drag in a Strongly Correlated Bilayer Electron System
• Dipolar Excitons, Spontaneous Phase Coherence, and Superfluid-Insulator Transition in Bi-layer Quantum Hall Systems at $\nu =1$
• Critical Currents of Ideal Quantum Hall Superfluids
• Charged vortices in superfluid systems with pairing of spatially separated carriers
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Cited by in corpus (5)

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• Critical currents and giant non-dissipative drag for superfluid electron-hole pairs in quantum Hall multilayers
• Electron-hole pairing in topological insulator heterostructures in the quantum Hall state