EXISTENCE OF EXPONENTIALLY LOCALIZED WANNIER FUNCTIONS FOR NONPERIODIC SYSTEMS

被引：27

作者：

NENCIU, A ^{[1
]}

NENCIU, G ^{[1
]}

机构：

[1] UNIV BUCHAREST,DEPT THEORET PHYS,R-76900 BUCHAREST,ROMANIA

来源：

PHYSICAL REVIEW B | 1993年 / 47卷 / 16期

关键词：

D O I：

10.1103/PhysRevB.47.10112

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

For a large class of nonperiodic systems, exponentially localized Wannier functions, associated with isolated parts of the energy spectrum, are proved to exist.

引用

页码：10112 / 10115

页数：4

共 10 条

[1]

[Anonymous], 1966, PERTURBATION THEORY

[2]

[Anonymous], 1981, SOVIET MATH DOKL

[3]

DESCLOIZEAUX J, 1964, PHYS REV, V135, pA685

[4]

DESCLOIZEAUX J, 1964, PHYS REV, V135, pA698

[5]

DUBROVIN BA, 1980, ZH EKSP TEOR FIZ+, V0052, P00511

[6] WANNIER FUNCTIONS IN A SIMPLE NONPERIODIC SYSTEM [J].

KOHN, W ;

ONFFROY, JR .

PHYSICAL REVIEW B, 1973, 8 (06) :2485-2495

[7] ANALYTIC PROPERTIES OF BLOCH WAVES AND WANNIER FUNCTIONS [J].

KOHN, W .

PHYSICAL REVIEW, 1959, 115 (04) :809-821

[8]

LYSKOVA AS, 1985, THEOR MATH PHYS, V65, P218

[9] EXISTENCE OF THE EXPONENTIALLY LOCALIZED WANNIER FUNCTIONS [J].

NENCIU, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 91 (01) :81-85

[10] DYNAMICS OF BAND ELECTRONS IN ELECTRIC AND MAGNETIC-FIELDS - RIGOROUS JUSTIFICATION OF THE EFFECTIVE-HAMILTONIANS [J].

NENCIU, G .

REVIEWS OF MODERN PHYSICS, 1991, 63 (01) :91-128

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