Self-consistent calculation of subband occupation and electron-hole plasma effects: Variational approach to quantum well states with Hartree and exchange-correlation interactions

被引:14
作者
Ando, T
Taniyama, H
Ohtani, N
Nakayama, M
Hosoda, M
机构
[1] ATR, Adapt Commun Res Labs, Kyoto 6190288, Japan
[2] Osaka City Univ, Grad Sch Engn, Dept Appl Phys, Osaka 5588585, Japan
关键词
D O I
10.1063/1.1606512
中图分类号
O59 [应用物理学];
学科分类号
摘要
We present a numerically stable computational method to calculate multiple subband states in quantum wells based on the variational minimization of the total Hamiltonian involving the nonlinear interaction terms such as the Hartree and exchange-correlation interactions. Application of a nonlinear multidimensional minimization procedure to the total Hamiltonian enables us to realize multiple state computations of improved convergence. As an example of the multiple state calculation, subband states of interacting electrons and holes in single quantum wells are computed. We demonstrate that the dependence of the overlap integral of electron and hole wave functions on the electron-hole density is significantly modified by the exchange-correlation interaction. Furthermore, we show the effects of the nonlinear interactions on the carrier population and chemical potential in multiple subbands at various temperatures and carrier concentrations. This method is expected to be a convenient tool for investigating the high-density behavior of carriers in semiconductor low-dimensional structures. (C) 2003 American Institute of Physics.
引用
收藏
页码:4489 / 4501
页数:13
相关论文
共 40 条
[1]   ELECTRONIC-PROPERTIES OF A SEMICONDUCTOR SUPER-LATTICE .1. SELF-CONSISTENT CALCULATION OF SUBBAND STRUCTURE AND OPTICAL-SPECTRA [J].
ANDO, T ;
MORI, S .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1979, 47 (05) :1518-1527
[2]   Numerically stable and flexible method for solutions of the Schrodinger equation with self-interaction of carriers in quantum wells [J].
Ando, T ;
Taniyama, H ;
Ohtani, N ;
Hosoda, M ;
Nakayama, M .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 2002, 38 (10) :1372-1383
[4]   EXCHANGE INTERACTIONS IN QUANTUM WELL SUBBANDS [J].
BANDARA, KMSV ;
COON, DD ;
O, BS ;
LIN, YF ;
FRANCOMBE, MH .
APPLIED PHYSICS LETTERS, 1988, 53 (20) :1931-1933
[5]   VARIATIONAL CALCULATIONS ON A QUANTUM WELL IN AN ELECTRIC-FIELD [J].
BASTARD, G ;
MENDEZ, EE ;
CHANG, LL ;
ESAKI, L .
PHYSICAL REVIEW B, 1983, 28 (06) :3241-3245
[6]   ELECTRONIC-STRUCTURE OF FREE-CARRIERS IN QUANTUM-WELLS CALCULATED BY DENSITY-FUNCTIONAL THEORY [J].
BAUER, GEW ;
ANDO, T .
PHYSICAL REVIEW B, 1986, 34 (02) :1300-1303
[7]   Solution of the Poisson-Schrodinger problem for a single-electron transistor [J].
Bednarek, S ;
Szafran, B ;
Adamowski, J .
PHYSICAL REVIEW B, 2000, 61 (07) :4461-4464
[9]   FREQUENCY-DEPENDENT EXCHANGE CORRECTION TO DIELECTRIC FUNCTION OF ELECTRON-GAS [J].
BROSENS, F ;
LEMMENS, LF ;
DEVREESE, JT .
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 1976, 74 (01) :45-55
[10]   Simulation of the capacitance-voltage characteristics of a single-quantum-well structure based on the self-consistent solution of the Schrodinger and Poisson equations [J].
Brounkov, PN ;
Benyattou, T ;
Guillot, G .
JOURNAL OF APPLIED PHYSICS, 1996, 80 (02) :864-871