Chemical potential and compressibility of quantum Hall bilayer excitons
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...
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| Бусад зохиолчид: | |
| Формат: | Өгүүллэг |
| Хэл сонгох: | English |
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American Physical Society
2016
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| Онлайн хандалт: | http://hdl.handle.net/1721.1/101381 https://orcid.org/0000-0003-0774-3563 |
| _version_ | 1826216772685004800 |
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| author | Skinner, Brian J |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Skinner, Brian J |
| author_sort | Skinner, Brian J |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:52:52Z |
| format | Article |
| id | mit-1721.1/101381 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:52:52Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1013812022-10-03T08:55:54Z Chemical potential and compressibility of quantum Hall bilayer excitons Skinner, Brian J Massachusetts Institute of Technology. Research Laboratory of Electronics Skinner, Brian J 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. United States. Dept. of Energy. Office of Basic Energy Sciences (Award DE-SC0001088) United States. Dept. of Energy. Office of Basic Energy Sciences (Contract DE-AC02-06CH11357) 2016-02-29T19:00:30Z 2016-02-29T19:00:30Z 2016-02 2016-01 2016-02-25T23:00:11Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/101381 Skinner, Brian. “Chemical Potential and Compressibility of Quantum Hall Bilayer Excitons.” Physical Review B 93, no. 8 (February 25, 2016). © 2016 American Physical Society https://orcid.org/0000-0003-0774-3563 en http://dx.doi.org/10.1103/PhysRevB.93.085436 Physical Review B 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Skinner, Brian J Chemical potential and compressibility of quantum Hall bilayer excitons |
| title | Chemical potential and compressibility of quantum Hall bilayer excitons |
| title_full | Chemical potential and compressibility of quantum Hall bilayer excitons |
| title_fullStr | Chemical potential and compressibility of quantum Hall bilayer excitons |
| title_full_unstemmed | Chemical potential and compressibility of quantum Hall bilayer excitons |
| title_short | Chemical potential and compressibility of quantum Hall bilayer excitons |
| title_sort | chemical potential and compressibility of quantum hall bilayer excitons |
| url | http://hdl.handle.net/1721.1/101381 https://orcid.org/0000-0003-0774-3563 |
| work_keys_str_mv | AT skinnerbrianj chemicalpotentialandcompressibilityofquantumhallbilayerexcitons |