SEMICLASSICAL ANALYSIS OF HARPER-LIKE MODELS

被引：15

作者：

BARELLI, A

FLECKINGER, R

机构：

[1] Laboratoire de Physique Quantique, Université Paul Sabatier, F-31062 Toulouse Cedex

来源：

PHYSICAL REVIEW B | 1992年 / 46卷 / 18期

关键词：

D O I：

10.1103/PhysRevB.46.11559

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The band spectrum of a Bloch electron in a uniform magnetic field is numerically computed for models with third-nearest-neighbor interactions, permitting the effects of geometrical frustration. Unusual contacts between two bands are found and explained by use of semiclassical calculations. Above a given hopping-term magnitude, we observe a braiding of Dirac sublevels.

引用

收藏

页码：11559 / 11569

页数：11

相关论文

共 22 条

[1] SPECTRUM OF 2D BLOCH ELECTRONS IN A PERIODIC MAGNETIC-FIELD - ALGEBRAIC APPROACH [J].

BARELLI, A ;

BELLISSARD, J ;

RAMMAL, R .

JOURNAL DE PHYSIQUE, 1990, 51 (19) :2167-2185

[2]

BARELLI A, 1991, J PHYS I, V1, P1229, DOI 10.1051/jp1:1991203

[3] ANALYSIS OF THE SPECTRUM OF A PARTICLE ON A TRIANGULAR LATTICE WITH 2 MAGNETIC FLUXES BY ALGEBRAIC AND NUMERICAL-METHODS [J].

BELLISSARD, J ;

KREFT, C ;

SEILER, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (10) :2329-2353

[4]

Bellissard J, 1988, OPERATOR ALGEBRAS AP, VII

[5] ON THE LOCATION OF RESONANCES FOR SCHRODINGER-OPERATORS IN THE SEMICLASSICAL LIMIT .2. BARRIER TOP RESONANCES [J].

BRIET, P ;

COMBES, JM ;

DUCLOS, P .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1987, 12 (02) :201-222

[6] STATISTICS AND FLUX IN 2 DIMENSIONS [J].

CANRIGHT, GS ;

GIRVIN, SM ;

BRASS, A .

PHYSICAL REVIEW LETTERS, 1989, 63 (20) :2291-2294

[7] SUPERCONDUCTIVE PAIRING OF FERMIONS AND SEMIONS IN 2 DIMENSIONS [J].

CANRIGHT, GS ;

GIRVIN, SM ;

BRASS, A .

PHYSICAL REVIEW LETTERS, 1989, 63 (20) :2295-2298

[8] SINGLE BAND MOTION OF CONDUCTION ELECTRONS IN A UNIFORM MAGNETIC FIELD [J].

HARPER, PG .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1955, 68 (10) :874-878

[9]

HELFFER B, 1988, B SOC MATH FRANCE, V116

[10]

HELFFER B, 1989, B SOC MATH FRANCE, V117