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Andrzejewski J, Pietrzyk MA, Jarosz D, Kozanecki A. Optical Measurements and Theoretical Modelling of Excitons in Double ZnO/ZnMgO Quantum Wells in an Internal Electric Field. MATERIALS 2021; 14:ma14237222. [PMID: 34885387 PMCID: PMC8658598 DOI: 10.3390/ma14237222] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Revised: 11/22/2021] [Accepted: 11/23/2021] [Indexed: 11/16/2022]
Abstract
In this paper, the photoluminescence spectra of excitons in ZnO/ZnMgO/ZnO double asymmetric quantum wells grown on a-plane Al2O3 substrates with internal electric-field bands structures were studied. In these structures, the electron and the hole in the exciton are spatially separated between neighbouring quantum wells, by a ZnMgO barrier with different thickness. The existence of an internal electric field generates a linear potential and, as a result, lowers the energy of quantum states in the well. For the wide wells, the electrons are spatially separated from the holes and can create indirect exciton. To help the understanding of the photoluminescence spectra, for single particle states the 8 k·p for wurtzite structure is employed. Using these states, the exciton in the self-consistent model with 2D hydrogenic 1s-like wave function is calculated.
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Affiliation(s)
- Janusz Andrzejewski
- Department of Experimental Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, ul. Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
- Correspondence:
| | - Mieczyslaw Antoni Pietrzyk
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland; (M.A.P.); (D.J.); (A.K.)
| | - Dawid Jarosz
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland; (M.A.P.); (D.J.); (A.K.)
- Institute of Physics, College of Natural Sciences, ul. Pigonia 1, 35-959 Rzeszow, Poland
| | - Adrian Kozanecki
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland; (M.A.P.); (D.J.); (A.K.)
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Vasudev P, Jiang JH, John S. Light-trapping for room temperature Bose-Einstein condensation in InGaAs quantum wells. OPTICS EXPRESS 2016; 24:14010-14035. [PMID: 27410564 DOI: 10.1364/oe.24.014010] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We demonstrate the possibility of room-temperature, thermal equilibrium Bose-Einstein condensation (BEC) of exciton-polaritons in a multiple quantum well (QW) system composed of InGaAs quantum wells surrounded by InP barriers, allowing for the emission of light near telecommunication wavelengths. The QWs are embedded in a cavity consisting of double slanted pore (SP2) photonic crystals composed of InP. We consider exciton-polaritons that result from the strong coupling between the multiple quantum well excitons and photons in the lowest planar guided mode within the photonic band gap (PBG) of the photonic crystal cavity. The collective coupling of three QWs results in a vacuum Rabi splitting of 3% of the bare exciton recombination energy. Due to the full three-dimensional PBG exhibited by the SP2 photonic crystal (16% gap to mid-gap frequency ratio), the radiative decay of polaritons is eliminated in all directions. Due to the short exciton-phonon scattering time in InGaAs quantum wells of 0.5 ps and the exciton non-radiative decay time of 200 ps at room temperature, polaritons can achieve thermal equilibrium with the host lattice to form an equilibrium BEC. Using a SP2 photonic crystal with a lattice constant of a = 516 nm, a unit cell height of 2a=730nm and a pore radius of 0.305a = 157 nm, light in the lowest planar guided mode is strongly localized in the central slab layer. The central slab layer consists of 3 nm InGaAs quantum wells with 7 nm InP barriers, in which excitons have a recombination energy of 0.944 eV, a binding energy of 7 meV and a Bohr radius of aB = 10 nm. We take the exciton recombination energy to be detuned 35 meV above the lowest guided photonic mode so that an exciton-polariton has a photonic fraction of approximately 97% per QW. This increases the energy range of small-effective-mass photonlike states and increases the critical temperature for the onset of a Bose-Einstein condensate. With three quantum wells in the central slab layer, the strong light confinement results in light-matter coupling strength of ℏΩ = 13.7 meV. Assuming an exciton density per QW of (15aB)-2, well below the saturation density, in a 2-D box-trap with a side length of 10 to 500 µm, we predict thermal equilibrium Bose-Einstein condensation well above room temperature.
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Merkulov IA, Pozina GR, Coquillat D, Paganotto N, Siviniant J, Lascaray JP, Cibert J. Parameters of the magnetic polaron state in diluted magnetic semiconductors Cd-Mn-Te with low manganese concentration. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:5727-5731. [PMID: 9986537 DOI: 10.1103/physrevb.54.5727] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Piorek T, Hagston WE, Harrison P. Relative importance of self-consistency and variable symmetry in the calculation of exciton energies in type-I and type-II semiconductor heterostructures. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:14111-14117. [PMID: 9980630 DOI: 10.1103/physrevb.52.14111] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cheng HH, Nicholas RJ, Lawless MJ, Ashenford DE, Lunn B. Magneto-optical studies of the type-I/type-II crossover and band offset in ZnTe/Zn1-xMnxTe superlattices in magnetic fields up to 45 T. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:5269-5274. [PMID: 9981713 DOI: 10.1103/physrevb.52.5269] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chen P, Nicholls JE, Hogg JH, Stirner T, Hagston WE, Lunn B, Ashenford DE. Determination of the band offset of CdTe/Cd1-xMnxTe multiple quantum wells with very low x values. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:4732-4735. [PMID: 9981646 DOI: 10.1103/physrevb.52.4732] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Halsall MP, Railson SV, Wolverson D, Davies JJ, Lunn B, Ashenford DE. Spin-flip Raman scattering in CdTe/Cd1-xMnxTe multiple quantum wells: A model system for the study of electron-donor binding in semiconductor heterostructures. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:11755-11763. [PMID: 9975313 DOI: 10.1103/physrevb.50.11755] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Gaj JA, Grieshaber W, Bodin-Deshayes C, Cibert J, Feuillet G, Wasiela A. Magneto-optical study of interface mixing in the CdTe-(Cd,Mn)Te system. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:5512-5527. [PMID: 9976895 DOI: 10.1103/physrevb.50.5512] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Jackson SR, Nicholls JE, Hagston WE, Harrison P, Stirner T, Hogg JH, Lunn B, Ashenford DE. Magneto-optical study of excitonic binding energies, band offsets, and the role of interface potentials in CdTe/Cd1-xMnxTe multiple quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:5392-5403. [PMID: 9976881 DOI: 10.1103/physrevb.50.5392] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kavokin AV, Nesvizhskii AI. Stark effect near the type-I-type-II transition point in semiconductor quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:17055-17058. [PMID: 10010882 DOI: 10.1103/physrevb.49.17055] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Warnock J, Jonker BT, Petrou A, Chou WC, Liu X. Exciton energies in shallow quantum wells and spin superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:17321-17330. [PMID: 10008342 DOI: 10.1103/physrevb.48.17321] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Yu X, Raisanen A, Haugstad G, Troullier N, Biasiol G, Franciosi A. Nonmagnetic-semimagnetic semiconductor heterostructures: Ge-Cd1-xMnxTe(110). PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:4545-4551. [PMID: 10008933 DOI: 10.1103/physrevb.48.4545] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Harrison P, Hagston WE, Stirner T. Excitons in diffused quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:16404-16409. [PMID: 10006071 DOI: 10.1103/physrevb.47.16404] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zimmermann R, Bimberg D. Interface excitons in staggered-line-up quantum wells: The AlAs/GaAs case. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:15789-15793. [PMID: 10005975 DOI: 10.1103/physrevb.47.15789] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Akinaga H, Abe T, Ando K, Yoshida S, Uchida K, Sasaki S, Miura N. High-field magnetoabsorption study of heterointerface effects in CdTe/Cd0.6Mn0.4Te multiple quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:15954-15957. [PMID: 10005999 DOI: 10.1103/physrevb.47.15954] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Peyla P, Wasiela A, Ashenford DE, Lunn B. Anisotropy of the Zeeman effect in CdTe/Cd1-xMnxTe multiple quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:3783-3789. [PMID: 10006483 DOI: 10.1103/physrevb.47.3783] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kossut J, Dobrowolski W. Chapter 4 Diluted magnetic semiconductors. HANDBOOK OF MAGNETIC MATERIALS 1993. [DOI: 10.1016/s1567-2719(05)80045-9] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
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Harrison P, Goodwin J, Hagston WE. Exciton energies and band-offset determination in magnetic superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:12377-12383. [PMID: 10003152 DOI: 10.1103/physrevb.46.12377] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Kavokin AV, Kochereshko VP, Posina GR, Uraltsev IN, Yakovlev DR, Landwehr G, Bicknell-Tassius RN, Waag A. Effect of the electron Coulomb potential on hole confinement in II-VI quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:9788-9791. [PMID: 10002795 DOI: 10.1103/physrevb.46.9788] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ivchenko EL, Kavokin AV, Kochereshko VP, Posina GR, Uraltsev IN, Yakovlev DR, Bicknell-Tassius RN, Waag A, Landwehr G. Exciton oscillator strength in magnetic-field-induced spin superlattices CdTe/(Cd,Mn)Te. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:7713-7722. [PMID: 10002512 DOI: 10.1103/physrevb.46.7713] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chou WC, Petrou A, Warnock J, Jonker BT. Spin superlattice behavior in ZnSe/Zn0.99Fe0.01Se quantum wells. PHYSICAL REVIEW LETTERS 1991; 67:3820-3823. [PMID: 10044834 DOI: 10.1103/physrevlett.67.3820] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Peter G, Deleporte E, Berroir JM, Delalande C, Hong JM, Chang LL. Temperature effect on the magnetic-field-induced type-I-->type-II transition in a CdTe/(Cd,Mn)Te superlattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:11302-11306. [PMID: 9999253 DOI: 10.1103/physrevb.44.11302] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Young PM, Ehrenreich H, Hui PM, Hass KC. Electronic structure of superlattices incorporating diluted magnetic semiconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:2305-2314. [PMID: 9997506 DOI: 10.1103/physrevb.43.2305] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Deleporte E, Berroir JM, Bastard G, Delalande C, Hong JM, Chang LL. Magnetic-field-induced type-I-->type-II transition in a semimagnetic CdTe/Cd0.93Mn0.07Te superlattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:5891-5894. [PMID: 9996180 DOI: 10.1103/physrevb.42.5891] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Allegre J, Calatayud J, Gil B, Mathieu H, Tuffigo H, Lentz G, Magnea N, Mariette H. Identification of valence subbands in CdTe-Cd1-xZnxTe strained-layer quantum wells by differential spectroscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:8195-8202. [PMID: 9993142 DOI: 10.1103/physrevb.41.8195] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Liu X, Petrou A, Warnock J, Jonker BT, Prinz GA, Krebs JJ. Spin-dependent type-I, type-II behavior in a quantum well system. PHYSICAL REVIEW LETTERS 1989; 63:2280-2283. [PMID: 10040846 DOI: 10.1103/physrevlett.63.2280] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Mycielski J, Witowski AM, Wittlin A, Grynberg M. Energy distribution of donor ground states in mixed crystals. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:8437-8442. [PMID: 9991307 DOI: 10.1103/physrevb.40.8437] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Mariette H, Dal'bo F, Magnea N, Lentz G, Tuffigo H. Optical investigation of confinement and strain effects in CdTe/Cd1-xZnxTe single quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:12443-12448. [PMID: 9946186 DOI: 10.1103/physrevb.38.12443] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Zhu X, Xia X, Quinn JJ, Hawrylak P. Collective excitations of a multiple-quantum-well system with barrier of finite height. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:5617-5623. [PMID: 9947004 DOI: 10.1103/physrevb.38.5617] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wu JW, Nurmikko AV. Wannier excitons in semiconductor quantum wells with small valence-band offsets: A generalized variational approach. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 38:1504-1507. [PMID: 9946413 DOI: 10.1103/physrevb.38.1504] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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