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Luo N, Huang GY, Liao G, Ye LH, Xu HQ. Band-inverted gaps in InAs/GaSb and GaSb/InAs core-shell nanowires. Sci Rep 2016; 6:38698. [PMID: 27924856 PMCID: PMC5141486 DOI: 10.1038/srep38698] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2016] [Accepted: 11/14/2016] [Indexed: 11/17/2022] Open
Abstract
The [111]-oriented InAs/GaSb and GaSb/InAs core-shell nanowires have been studied by the 8 × 8 Luttinger-Kohn Hamiltonian to search for non-vanishing fundamental gaps between inverted electron and hole bands. We focus on the variations of the band-inverted fundamental gap, the hybridization gap, and the effective gap with the core radius and shell thickness of the nanowires. The evolutions of all the energy gaps with the structural parameters are shown to be dominantly governed by the effect of quantum confinement. With a fixed core radius, a band-inverted fundamental gap exists only at intermediate shell thicknesses. The maximum band-inverted gap found is ~4.4 meV for GaSb/InAs and ~3.5 meV for InAs/GaSb core-shell nanowires, and for the GaSb/InAs core-shell nanowires the gap persists over a wider range of geometrical parameters. The intrinsic reason for these differences between the two types of nanowires is that in the shell the electron-like states of InAs is more delocalized than the hole-like state of GaSb, while in the core the hole-like state of GaSb is more delocalized than the electron-like state of InAs, and both favor a stronger electron-hole hybridization.
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Affiliation(s)
- Ning Luo
- Key Laboratory for the Physics and Chemistry of Nanodevices and Department of Electronics, Peking University, Beijing 100871, China
| | - Guang-Yao Huang
- Key Laboratory for the Physics and Chemistry of Nanodevices and Department of Electronics, Peking University, Beijing 100871, China
| | - Gaohua Liao
- Key Laboratory for the Physics and Chemistry of Nanodevices and Department of Electronics, Peking University, Beijing 100871, China
| | - Lin-Hui Ye
- Key Laboratory for the Physics and Chemistry of Nanodevices and Department of Electronics, Peking University, Beijing 100871, China
| | - H. Q. Xu
- Key Laboratory for the Physics and Chemistry of Nanodevices and Department of Electronics, Peking University, Beijing 100871, China
- Division of Solid State Physics, Lund University, Box 118, S-221 00 Lund, Sweden
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Ravi Kishore VV, Partoens B, Peeters FM. Electronic and optical properties of core-shell nanowires in a magnetic field. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:095501. [PMID: 24521608 DOI: 10.1088/0953-8984/26/9/095501] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
The electronic and optical properties of zincblende nanowires are investigated in the presence of a uniform magnetic field directed along the [001] growth direction within the k · p method. We focus our numerical study on core-shell nanowires consisting of the III-V materials GaAs, Al(x)Ga(1-x)As and (Al(y)Ga(1-y))₀.₅₁In₀.₄₉P. Nanowires with electrons confined in the core exhibit a Fock-Darwin-like spectrum, whereas nanowires with electrons confined in the shell show Aharonov-Bohm oscillations. Thus, by properly choosing the core and the shell materials of the nanowire, the optical properties in a magnetic field can be tuned in very different ways.
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Affiliation(s)
- V V Ravi Kishore
- Department of Physics, University of Antwerp, Groenenborgerlaan 171, B-2020 Antwerp, Belgium. Department of Condensed Matter Physics and Material Sciences, S N Bose National Centre for Basic Sciences, Sector-III, Block-JD, Salt Lake, Kolkata-700 098, India
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Marquardt O, O'Reilly EP, Schulz S. Electronic properties of site-controlled (111)-oriented zinc-blende InGaAs/GaAs quantum dots calculated using a symmetry-adapted k·p Hamiltonian. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:035303. [PMID: 24355799 DOI: 10.1088/0953-8984/26/3/035303] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
In this work, we present and evaluate a (111)-rotated eight-band k ⋅p Hamiltonian for the zinc-blende crystal lattice to investigate the electronic properties of site-controlled InGaAs/GaAs quantum dots grown along the [111] direction. We derive the rotated Hamiltonian including strain and piezoelectric potentials. In combination with our previously formulated (111)-oriented continuum elasticity model, we employ this approach to investigate the electronic properties of a realistic site-controlled (111)-grown InGaAs quantum dot. We combine these studies with an evaluation of single-band effective mass and eight-band k ⋅p models, to investigate the capabilities of these models for the description of electronic properties of (111)-grown zinc-blende quantum dots. Moreover, the influence of second-order piezoelectric contributions on the polarization potential in such systems is studied. The description of the electronic structure of nanostructures grown on (111)-oriented surfaces can now be achieved with significantly reduced computational costs in comparison to calculations performed using the conventional (001)-oriented models.
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Affiliation(s)
- O Marquardt
- Photonics Theory Group, Tyndall National Institute, Lee Maltings, Cork, Ireland
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Villegas-Lelovsky L, Teodoro MD, Lopez-Richard V, Calseverino C, Malachias A, Marega E, Liang BL, Mazur YI, Marques GE, Trallero-Giner C, Salamo GJ. Anisotropic Confinement, Electronic Coupling and Strain Induced Effects Detected by Valence-Band Anisotropy in Self-Assembled Quantum Dots. NANOSCALE RESEARCH LETTERS 2011; 6:56. [PMID: 27502678 PMCID: PMC3212094 DOI: 10.1007/s11671-010-9786-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/06/2010] [Accepted: 09/09/2010] [Indexed: 06/06/2023]
Abstract
A method to determine the effects of the geometry and lateral ordering on the electronic properties of an array of one-dimensional self-assembled quantum dots is discussed. A model that takes into account the valence-band anisotropic effective masses and strain effects must be used to describe the behavior of the photoluminescence emission, proposed as a clean tool for the characterization of dot anisotropy and/or inter-dot coupling. Under special growth conditions, such as substrate temperature and Arsenic background, 1D chains of In0.4Ga0.6 As quantum dots were grown by molecular beam epitaxy. Grazing-incidence X-ray diffraction measurements directly evidence the strong strain anisotropy due to the formation of quantum dot chains, probed by polarization-resolved low-temperature photoluminescence. The results are in fair good agreement with the proposed model.
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Affiliation(s)
- L Villegas-Lelovsky
- Departamento de Física, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brazil.
- Instituto de Física, Universidade Federal de Uberlândia, Uberlândia, Minas Gerais, 38400-902, Brazil.
| | - M D Teodoro
- Departamento de Física, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brazil
- Arkansas Institute for Nanoscale Materials Science and Engineering, University of Arkansas, Fayetteville, AR, 72701, USA
| | - V Lopez-Richard
- Departamento de Física, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brazil
| | - C Calseverino
- Departamento de Física, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brazil
- Laboratório Nacional de Luz Síncrotron, Campinas, Brazil
| | - A Malachias
- Laboratório Nacional de Luz Síncrotron, Campinas, Brazil
| | - E Marega
- Arkansas Institute for Nanoscale Materials Science and Engineering, University of Arkansas, Fayetteville, AR, 72701, USA
- Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, SP, 13560-970, Brazil
| | - B L Liang
- Arkansas Institute for Nanoscale Materials Science and Engineering, University of Arkansas, Fayetteville, AR, 72701, USA
- Department of Electrical Engineer, University of California, Los Angeles, CA, 90095, USA
| | - Yu I Mazur
- Arkansas Institute for Nanoscale Materials Science and Engineering, University of Arkansas, Fayetteville, AR, 72701, USA
| | - G E Marques
- Departamento de Física, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brazil
| | | | - G J Salamo
- Arkansas Institute for Nanoscale Materials Science and Engineering, University of Arkansas, Fayetteville, AR, 72701, USA
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Ye H, Hu C, Wang G, Zhao H, Tian H, Zhang X, Wang W, Liu B. Anisotropic in-plane spin splitting in an asymmetric (001) GaAs/AlGaAs quantum well. NANOSCALE RESEARCH LETTERS 2011; 6:520. [PMID: 21888636 PMCID: PMC3271362 DOI: 10.1186/1556-276x-6-520] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 06/02/2011] [Accepted: 09/02/2011] [Indexed: 05/31/2023]
Abstract
The in-plane spin splitting of conduction-band electron has been investigated in an asymmetric (001) GaAs/AlxGa1-xAs quantum well by time-resolved Kerr rotation technique under a transverse magnetic field. The distinctive anisotropy of the spin splitting was observed while the temperature is below approximately 200 K. This anisotropy emerges from the combined effect of Dresselhaus spin-orbit coupling plus asymmetric potential gradients. We also exploit the temperature dependence of spin-splitting energy. Both the anisotropy of spin splitting and the in-plane effective g-factor decrease with increasing temperature.PACS: 78.47.jm, 71.70.Ej, 75.75.+a, 72.25.Fe.
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Affiliation(s)
- Huiqi Ye
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
| | - Changcheng Hu
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
- College of Physics, Jilin University, Changchun, 130021, China
| | - Gang Wang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
| | - Hongming Zhao
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
| | - Haitao Tian
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
| | - Xiuwen Zhang
- State Key for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P.O. Box 912, Beijing 100083, China
| | - Wenxin Wang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
| | - Baoli Liu
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
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Shu-Shen L, Jian-Bai X. Effective-mass theory for coupled quantum dots grown on (11
N
)-oriented substrates. ACTA ACUST UNITED AC 2006. [DOI: 10.1088/1009-1963/16/1/001] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Povolotskyi M, Di Carlo A, Birner S. Electronic and optical properties of [N11] grown nanostructures. ACTA ACUST UNITED AC 2004. [DOI: 10.1002/pssc.200304095] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Michael Povolotskyi
- Dept. of Electronic Engineering, University of Rome “Tor Vergata”, via del Politecnico, 1, 00133 Rome, Italy
| | - Aldo Di Carlo
- Dept. of Electronic Engineering, University of Rome “Tor Vergata”, via del Politecnico, 1, 00133 Rome, Italy
| | - Stefan Birner
- Walter Schottky Institute and Physics Department, Technical University of Munich, 85748 Garching, Germany
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Langbein W, Gislason H, Hvam JM. Optimization of the confinement energy of quantum-wire states in T-shaped GaAs/AlxGa1-xAs structures. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:14595-14603. [PMID: 9985467 DOI: 10.1103/physrevb.54.14595] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Winkler R, Nesvizhskii AI. Anisotropic hole subband states and interband optical absorption in. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:9984-9992. [PMID: 9982563 DOI: 10.1103/physrevb.53.9984] [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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10
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Los J, Fasolino A, Catellani A. Generalization of the k. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:4630-4648. [PMID: 9984021 DOI: 10.1103/physrevb.53.4630] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Li SS, Xia JB. Effective-mass theory for GaAs/Ga1-xAlxAs quantum wires and corrugated superlattices grown on (311)-oriented substrates. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:8602-8608. [PMID: 9974879 DOI: 10.1103/physrevb.50.8602] [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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Alonso MI, Ilg M, Ploog KH. Optical investigation of the electronic structure of single ultrathin InAs layers grown pseudomorphically on (100) and (311)A GaAs substrates. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:1628-1635. [PMID: 9976348 DOI: 10.1103/physrevb.50.1628] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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13
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Kajikawa Y. Level anticrossing and related giant optical anisotropy caused by the Stark effect in a strained (110) quantum well. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:8136-8146. [PMID: 10009579 DOI: 10.1103/physrevb.49.8136] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Brandt O, Kanamoto K, Tokuda Y, Tsukada N, Wada O, Tanimura J. Optical properties of a high-quality (311)-oriented GaAs/Al0.33Ga0.67As single quantum well. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:17599-17602. [PMID: 10008382 DOI: 10.1103/physrevb.48.17599] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ilg M, Ploog KH. Enhanced In surface segregation during molecular-beam epitaxy of (In,Ga)As on (h11) GaAs for small values of h. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:11512-11515. [PMID: 10007486 DOI: 10.1103/physrevb.48.11512] [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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16
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Kajikawa Y. Comparison of 1s-2s exciton-energy splittings between (001) and (111) GaAs/AlxGa1-xAs quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:7935-7939. [PMID: 10006979 DOI: 10.1103/physrevb.48.7935] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Kajikawa Y. Anomaly in the in-plane polarization properties of (110)-oriented quantum wells under. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:3649-3660. [PMID: 10006466 DOI: 10.1103/physrevb.47.3649] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hirakawa K, Zhao Y, Santos MB, Shayegan M, Tsui DC. Anomalous cyclotron-resonance line splitting of two-dimensional holes in (311)A AlxGa1-xAs/GaAs heterojunctions. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:4076-4079. [PMID: 10006536 DOI: 10.1103/physrevb.47.4076] [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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19
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Hayden RK, Valadares EC, Henini M, Eaves L, Maude DK, Portal JC. Anisotropy of the confined hole states in a (311)A AlAs/GaAs/AlAs quantum-well system: Evidence for a camel's-back band structure. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:15586-15589. [PMID: 10003696 DOI: 10.1103/physrevb.46.15586] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Xia JB. Electronic structures of quantum wires formed by lateral strain. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:3211-3217. [PMID: 9999917 DOI: 10.1103/physrevb.44.3211] [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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