Nondissipative Drag Conductance as a Topological Quantum Number

Abstract

We show in this paper that the boundary condition averaged nondissipative drag conductance of two coupled mesoscopic rings with no tunneling, evaluated in a particular many-particle eigenstate, is a topological invariant characterized by a Chern integer. Physical implications of this observation are discussed.

4 pages, no figure. Title modified and significant revision made to the text. Final version appeared in PRB

References in corpus (7)

• Coulomb Drag in the Extreme Quantum Limit
• Quantum Hall - insulator transitions in lattice models with strong disorder
• Mesoscopic fluctuations of the Coulomb drag
• Negative Electron Drag and Hole-Like behavior in the Integer Quantum Hall Regime
• Hall Drag in Correlated Double Layer Quantum Hall Systems
• Coulomb drag at ν= 1/2: Composite fermion pairing fluctuations
• Coulomb Drag in Systems with Tunneling Bridges

Cited by in corpus (8)

• Coulomb drag
• Observation of Quantized Hall Drag in a Strongly Correlated Bilayer Electron System
• Onset of Interlayer Phase Coherence in a Bilayer Two-Dimensional Electron System: Effect of Layer Density Imbalance
• Quantum Hall Exciton Condensation at Full Spin Polarization
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• Possible non-Abelian Moore-Read state in double-layer bosonic fractional quantum Hall system
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Numerical study of spin quantum Hall transitions in superconductors with broken time-reversal symmetry