期刊论文详细信息
| ETRI Journal | |
| Envelope-Function Equation and Motion of Wave Packet of the Superlattice | |
| 关键词: variational method; envelope function equation; superlattice; quantum well; semiconductor superlattice energy band calculation; | |
| Others : 1184260 DOI : 10.4218/etrij.99.0199.0101 |
|
PDF
|
|
【 摘 要 】
We present a new description of envelope-function equation of the superlattice (SL). The SL wave function and corresponding effective-mass equation are formulated in terms of a linear combination of Bloch states of the constituent material with smaller ba
【 授权许可】
【 预 览 】
| Files | Size | Format | View |
|---|---|---|---|
| 20150520102119494.pdf | 339KB |
【 参考文献 】
- [1]TSU LESAKIR, "SUPERLATTICE AND NEGATIVE DIFFERENTIAL CONDUCTIVITY IN SEMICONDUCTOR," IBM Journal of Research and Development, vol. 14, no. 1, 1970, pp. 61-65.
- [2]P.A. Lebwohl, and R. Tsu, "Electrical transport properties in a superlattice," Journal of Applied Physics, vol. 41, no. 6, 1970, pp. 2664-2667.
- [3]R.F. Kazarinov and R.A. Suris, "Electrical and Electromagnetic Properties of Semiconductors with a Superlattice," Soviet Phys. Semicon., vol. 6, no. 1, 1972, pp. 120-131.
- [4]S.R. White and L.J. Sham, "Electronic properties of flat-band semiconductor heterostructures," Physical Review Letters, vol. 47, no. 12, 1981, pp. 879-882.
- [5]G. Bastard, "Superlattice band structure in the envelope-function approximation," Physical Review B, vol. 24, no. 10, 1981, pp. 5693-5697.
- [6]G. Bastard, "Theoretical investigations of superlattice band structure in the envelope-function approximation," Physical Review B, vol. 25, no. 12, 1982, pp. 7584-7597.
- [7]G. Bastard and J.A. Brum, "Electronic States in Semiconductor Heterostructures," IEEE Journal of Quantum Electronics, vol. QE-22 (9), pp. 1625-1644.
- [8]M. Altarelli, "Application of High Magnetic Fields in Semiconductor Physics," Proceedings, Grenoble, France, Edited by G. Landwehr ,1982, p. 174.
- [9]M. Altarelli, "Electronic structure and semiconductor-semimetal transition in InAs-GaSb superlattices," Physical Review B, vol. 28, no. 2, 1983, pp. 842-845.
- [10]M. Altarelli, U. Ekenberg and A. Fasolino, "Calculations of hole subbands in semiconductor quantum wells and superlattices," Physical Review B, vol. 32, no. 8, 1985, pp. 5138-5143.
- [11]D.A. Broido and L.J. Sham, "Effective masses of holes at GaAs-AlGaAs heterojunctions," Physical Review B, vol. 31, no. 2, 1985, pp. 888-892.
- [12]W. Pötz, W. Porod and D.K. Ferry, "Theoretical study of subband levels in semiconductor heterostructures," Physical Review B, vol. 32, no. 6, 1985, pp. 3868-3875.
- [13]D.L. Smith and C. Mailhiot, "kp theory of semiconductor superlattice electronic structure. I. Formal results," Physical Review B, vol. 33, no. 12, 1986, pp. 8345-8359.
- [14]C. Mailhiot and D.L. Smith, "kp theory of semiconductor superlattice electronic structure. II. Application to Ga1-xInxAs-Al1-yInyAs [100] superlattices," Physical Review B, vol. 33, no. 12, 1986, pp. 8360-8372.
- [15]L.C. Andreani, A. Pasquarello and F. Bassani,"Hole subbands in strained GaAs-Ga1-xAlxAs quantum wells: Exact solution of the effective-mass equation," Physical Review B, vol. 36, no. 11, 1987, pp. 5887-5894.
- [16]N.F. Johnson, H. Ehrenreich, P.M. Hui and P.M. Young, "Electronic and optical properties of III-V and II-VI semiconductor superlattices," Physical Review B, vol. 41, no. 6, 1990, pp. 3655-3669.
- [17]Y.-C. Chang and D.E. Aspnes, "Theory of dielectric-function anisotropies of (001) GaAs (2×1) surfaces," Physical Review B, vol. 41, no. 17, 1990, pp. 12002-12012.
- [18]S.L. Chuang, "Efficient band-structure calculations of strained quantum wells," Physical Review B, vol. 43, no. 12, 1991, pp. 9649-9661.
- [19]Physics of Optoelectronic Devices, John Wiley & Sons, Inc.,1995
- [20]B.W. Kim and A. Majerfeld, "Electronic and intersubband optical properties of p-type GaAs/AlGaAs superlattices for infrared photodetectors," Journal of Applied Physics, vol. 77, no. 9. 1995, pp. 4552-4563.
- [21]B.W. Kim, E. Mao and A. Majerfeld, "Analysis of optical properties of p-type GaAs/AlGaAs superlattices for multiwavelength normal incidence photodetectors," Journal of Applied Physics, vol. 81, no. 4, 1997, pp. 1883-1889.
- [22]P.-O. Löwdin, "A note on the quantum-mechanical perturbation theory," The Journal of Chemical Physics, vol. 19, no. 11, 1951, pp. 1396-1401.
- [23]B.-W. Kim, Y.I. Jun and H.B. Jung, "Improved Multi-band Transfer Matrix Method for Calculating Eigenvalues and Eigenfunctions of Quantum Well and Superlattice Structures," ETRI Journal, vol. 20, no. 4, 1998, pp. 361-378.
- [24]H. Schlosser and P.M. Marcus, "Composite wave variational method for solution of the energy-band problem in solids," Physical Review, vol. 131, no. 6, 1963, pp. 2529-2546.
- [25]E.O. Kane, Physics of III-V Compounds, 1, edited by R.K. Willardson and A.C. Beer, Academic, New York, 1966, p. 75.
- [26]J.M. Luttinger, "Quantum theory of cyclotron resonance in semiconductors: General theory," Physical Review, vol. 102, no. 4, pp. 1030-1041.
- [27]J. Callaway, Quantum Theory of the Solid State, Academic, New York, 1974, p. 466.
PDF