Tunneling between two-dimensional electron systems in a high magnetic field: role of interlayer interactions

Abstract

We calculate the tunneling current for a bilayer quantum Hall system in the interlayer incoherent regime. In order to capture the strong correlation effects we model the layers as two Wigner crystals coupled through interlayer Coulomb interactions, treated in the continuum limit. By generalizing previous work by Johansson and Kinaret (JK), we are able to study the effect of the low energy out-of-phase magnetophonon modes on the electron ``shake-up'' which occurs during a tunneling event. We find the tunneling current peak value to scale with the magnetic field as found by JK; however, we find a different scaling of the peak value with the interlayer separation, which agrees with the measurements by Eisenstein \it{et al.}

arXiv comment10 pages, 3 figures article submitted to Phys. Rev. B

References in corpus (5)

• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Counterflow measurements in strongly correlated GaAs hole bilayers: evidence for electron-hole pairing
• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Tunneling into a two-dimensional electron system in a strong magnetic field

Cited by in corpus (6)

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• Coherent Tunneling in Exciton Condensates of Bilayer Quantum Hall Systems
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• Tunneling at ${\nu }_T=1$ in Quantum Hall Bilayers
• Pinned Bilayer Wigner Crystals with Pseudospin Magnetism
• Tunneling into a Fractional Quantum Hall System and the Infrared Catastrophe