Chemical potential and compressibility of quantum Hall bilayer excitons

Skinner, Brian

doi:10.1103/PhysRevB.93.085436

Title: Chemical potential and compressibility of quantum Hall bilayer excitons

Journal Article · Thu Feb 25 00:00:00 EST 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.93.085436· OSTI ID:1387776

Skinner, Brian ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

I consider 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 can form inter-layer excitons, which have a finite effective mass and interact via a dipole-dipole potential. I present results for the chemical potential u of the resulting bosonic system as a function of the exciton concentration n and the interlayer separation d. I show that both u 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. Finally, I discuss the transition between the superfluid and Wigner crystal phases, which is shown to occur at d x 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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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Excitonics (CE); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0001088; AC02-06CH11357

OSTI ID:: 1387776

Alternate ID(s):: OSTI ID: 1239464; OSTI ID: 1245451

Journal Information:: Physical Review B, Vol. 93, Issue 8; Related Information: CE partners with Massachusetts Institute of Technology (lead); Brookhaven National Laboratory; Harvard University; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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