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Chemical potential and compressibility of quantum Hall bilayer excitons

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      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 inter-layer excitons, which have a finite effective mass and interact via a dipole-dipole potential. Results are presented for the chemical potential \(\mu\) of the resulting bosonic system as a function of the exciton concentration \(n\) and the interlayer separation \(d\). Both \(\mu\) 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 \(d \propto n^{-1/10}\). Results are derived first via simple intuitive arguments, and then verified with more careful analytic derivations and numeric calculations.

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      Journal
      2015-11-10
      2016-03-02
      1511.03287
      10.1103/PhysRevB.93.085436

      http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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      Phys. Rev. B 93, 085436 (2016)
      7 pages, 5 figures; improved discussion and references; published version
      cond-mat.mes-hall cond-mat.str-el

      Condensed matter, Nanophysics

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