Even-Odd Effect in Spontaneously Coherent Bilayer Quantum Hall Droplets

Abstract

Using exact diagonalization in the disc geometry we predict a novel even-odd effect in the Coulomb blockade spectra of vertically coupled double quantum dots under an external magnetic field. The even-odd effect in the tunneling conductance is a direct manifestation of spontaneous interlayer phase coherence, and is similar to the even-odd resonance in the Cooper pair box problem in mesoscopic superconducting grains. Coherent fluctuations in the number of Cooper pairs in superconductors is analogous to the fluctuations in the relative number difference between the two layers in quantum Hall droplets.

3 pages, 5 figures

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Cited by in corpus (6)

• Coherent Tunneling in Exciton Condensates of Bilayer Quantum Hall Systems
• Pseudospin Quantum Computation in Semiconductor Nanostructures
• The Mesoscopic Kondo Box: A Mean-Field Approach
• Interlayer coherence and entanglement in bilayer quantum Hall states at filling factor $\nu =2/\lambda$
• Quantum phases of correlated electrons in artificial molecules under magnetic fields
• Pseudospin and Quantum Computation in Semiconductor Nanostructures