Treating some solid state problems with the Dirac equation

被引：43

作者：

Renan, R ^{[1
]}

Pacheco, MH ^{[1
]}

Almeida, CAS ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Phys, BR-60470455 Fortaleza, Ceara, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 50期

关键词：

D O I：

10.1088/0305-4470/33/50/103

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The ambiguity involved in the definition of effective-mass Hamiltonians for nonrelativistic models is resolved using the Dirac equation. The multistep approximation is extended for relativistic cases allowing the treatment of arbitrary potential and effective-mass profiles without ordering problems. On the other hand, if the Schrodinger equation is used, our relativistic approach demonstrates that the two results are coincident if the BenDaniel-Duke prescription for the kinetic-energy operator is implemented. Applications for semiconductor heterostructures are discussed.

引用

页码：L509 / L514

页数：6

共 10 条

[1] GAAS, ALAS, AND ALXGA1-XAS - MATERIAL PARAMETERS FOR USE IN RESEARCH AND DEVICE APPLICATIONS [J].

ADACHI, S .

JOURNAL OF APPLIED PHYSICS, 1985, 58 (03) :R1-R29

[2] CALCULATION OF TRANSMISSION TUNNELING CURRENT ACROSS ARBITRARY POTENTIAL BARRIERS [J].

ANDO, Y ;

ITOH, T .

JOURNAL OF APPLIED PHYSICS, 1987, 61 (04) :1497-1502

[3] SPACE-CHARGE EFFECTS ON ELECTRON TUNNELING [J].

BENDANIEL, DJ ;

DUKE, CB .

PHYSICAL REVIEW, 1966, 152 (02) :683-+

[4] Connection rules versus differential equations for envelope functions in abrupt heterostructures [J].

Foreman, BA .

PHYSICAL REVIEW LETTERS, 1998, 80 (17) :3823-3826

[5]

LANDSBERG PT, 1969, SOLID STATE THEORY M

[6] MODEL EFFECTIVE-MASS HAMILTONIANS FOR ABRUPT HETEROJUNCTIONS AND THE ASSOCIATED WAVE-FUNCTION-MATCHING CONDITIONS [J].

MORROW, RA ;

BROWNSTEIN, KR .

PHYSICAL REVIEW B, 1984, 30 (02) :678-680

[7] TRANSMISSION COEFFICIENT OF ELECTRONS THROUGH A SINGLE GRADED BARRIER [J].

RENAN, R ;

FREIRE, VN ;

AUTO, MM ;

FARIAS, GA .

PHYSICAL REVIEW B, 1993, 48 (11) :8446-8449

[8]

RYDER LH, 1995, QUANTUM FIELD THEORY

[9] POSITION-DEPENDENT EFFECTIVE MASSES IN SEMICONDUCTOR THEORY [J].

VONROOS, O .

PHYSICAL REVIEW B, 1983, 27 (12) :7547-7552

[10]

Weisbuch C., 1993, Quantum Semiconductor Heterostructures

← 1 →