Chemical potential and compressibility of quantum Hall bilayer excitons

Article

关键词: BOSE-EINSTEIN CONDENSATION;    2-DIMENSIONAL ELECTRON;    WIGNER-CRYSTAL;    GAS;    SUPERFLUIDITY;    EXCITIONS;    ENERGY;    PHASES;    STATE;   

DOI  :  10.1103/PhysRevB.93.085436

来源: SCIE

【 摘 要 】

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 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 alpha n(-1/10). Results are derived first via simple intuitive arguments, and then verified with more careful analytic derivations and numeric calculations.

【 授权许可】

Free