Electromagnetic coupling and gauge invariance in the empirical tight-binding method

被引：93

作者：

Boykin, TB ^{[1
]}

Bowen, RC

Klimeck, G

机构：

[1] Univ Alabama, Dept Elect & Comp Engn, Huntsville, AL 35899 USA

[2] Univ Alabama, LICOS, Huntsville, AL 35899 USA

[3] CALTECH, Jet Prop Lab, Pasadena, CA 91109 USA

来源：

PHYSICAL REVIEW B | 2001年 / 63卷 / 24期

关键词：

D O I：

10.1103/PhysRevB.63.245314

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We examine the requirements placed upon the Hamiltonian under the demand of gauge invariance. From these requirements we derive the gauge-invariant form of the tight-binding Hamiltonian with electromagnetic coupling. In our derivation we do not make recourse to a Peierls substitution and hence avoid introducing any ambiguities of path. Our expression transparently reduces to the familiar expression in a complete basis. We apply this Hamiltonian to study resonant magnetotunneling spectroscopy using a simple tight-binding model.

引用

页数：17

共 37 条

[1] TRANSVERSE MAGNETIC-FIELD DEPENDENCE OF THE CURRENT-VOLTAGE CHARACTERISTICS OF DOUBLE-BARRIER QUANTUM WELL TUNNELING STRUCTURES [J].

BENAMOR, S ;

MARTIN, KP ;

RASCOL, JJL ;

HIGGINS, RJ ;

TORABI, A ;

HARRIS, HM ;

SUMMERS, CJ .

APPLIED PHYSICS LETTERS, 1988, 53 (25) :2540-2542

[2]

BLOUNT EI, 1962, SOLID STATE PHYS, V13, P305

[3] Incorporation of incompleteness in the k center dot p perturbation theory [J].

Boykin, TB .

PHYSICAL REVIEW B, 1995, 52 (23) :16317-16320

[4] Improved fits of the effective masses at Gamma in the spin-orbit, second-nearest-neighbor sp(3)s* model: Results from analytic expressions [J].

Boykin, TB .

PHYSICAL REVIEW B, 1997, 56 (15) :9613-9618

[5] Effective-mass reproducibility of the nearest-neighbor sp(3)s(*) models: Analytic results [J].

Boykin, TB ;

Klimeck, G ;

Bowen, RC ;

Lake, R .

PHYSICAL REVIEW B, 1997, 56 (07) :4102-4107

[6] TIGHT-BINDING MODEL FOR GAAS/ALAS RESONANT-TUNNELING DIODES [J].

BOYKIN, TB ;

VANDERWAGT, JPA ;

HARRIS, JS .

PHYSICAL REVIEW B, 1991, 43 (06) :4777-4784

[7] VALIDITY OF THE SEMICLASSICAL INTERPRETATION OF RESONANT MAGNETOTUNNELING SPECTROSCOPY EXPERIMENTS [J].

BOYKIN, TB ;

CARNAHAN, RE ;

MARTIN, KP .

PHYSICAL REVIEW B, 1994, 50 (20) :15393-15396

[8] Exact representation of exp(iq•r) in the empirical tight-binding method and its application to electromagnetic interactions [J].

Boykin, TB .

PHYSICAL REVIEW B, 1999, 60 (23) :15810-15816

[9] Valence-band warping in tight-binding models [J].

Boykin, TB ;

Gamble, LJ ;

Klimeck, G ;

Bowen, RC .

PHYSICAL REVIEW B, 1999, 59 (11) :7301-7304

[10]

CALLAWAY J, 1979, QUANTUM THEORY SOLID

← 1 2 3 4 →