Degeneracy of Multi-Component Quantum Hall States Satisfying Periodic Boundary Conditions

Abstract

In systems subject to periodic boundary conditions, Haldane has shown that states at arbitrary filling fraction possess a degeneracy with respect to center of mass translations. An analysis is carried out for multi-component electron systems and extra degeneracies are shown to exist. Their application to numerical studies is discussed.

16 pages, REVTEX v3.0, revised manuscript

References in corpus (4)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
• Collective excitations in double-layer quantum Hall systems
• Quantum Hall effect in single wide quantum wells

Cited by in corpus (3)

• Topological Phase Transition in the $\nu =2/3$ Quantum Hall Effect
• Fractional Topological Phases in Generalized Hofstadter Bands with Arbitrary Chern Numbers
• Anomalous Bilayer Quantum Hall Effect