Chemical potential and compressibility of quantum Hall bilayer excitons
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PhysRevB.93.085436.pdf
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416.65 KB
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Author(s)
Skinner, Brian J
Date Issued
February 2016
Journal
Physical Review B
Publisher
American Physical Society
Citation
Skinner, Brian. “Chemical Potential and Compressibility of Quantum Hall Bilayer Excitons.” Physical Review B 93, no. 8 (February 25, 2016). © 2016 American Physical Society
Version
Final published version
Abstract
This paper considers a system of two parallel quantum Hall layers with total filling factor 0 or 1. When the distance between the layers is small enough, electrons and holes in opposite layers form interlayer excitons, which have a finite effective mass and interact via a dipole-dipole potential. I present results for the chemical potential μ of the resulting bosonic system as a function of the exciton concentration n and the interlayer separation d. Both μ and the interlayer capacitance have an unusual nonmonotonic dependence on d, owing to the interplay between an increasing dipole moment and an increasing effective mass with increasing d. A phase transition between superfluid and Wigner crystal phases is shown to occur at d ∝ n[superscript −1/10]. Results are derived first via simple intuitive arguments, and then verified with more careful analytic derivations and numeric calculations.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.93.085436
