NON-EXPONENTIAL RANGE OF LOCALIZED ELECTRON STATES IN LIQUID CHAINS

被引：4

作者：

ROBERTS, AP

JONES, PL

KHOR, KE

SMITH, PV

机构：

[1] Department of Physics, Monash University, Clayton, Vic.

来源：

JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS | 1969年 / 2卷 / 08期

关键词：

D O I：

10.1088/0022-3719/2/8/319

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The ranges of electron states near a band edge in liquid chains have been found to depend not on an exponential decay factor, as previously believed, but on the 'beat length' R of a related Bloch function. This leads to a new qualitative description of the eigenstates near the band edge of a liquid chain and gives a smooth transition to the band states. A method for determining the range R is given, and shown to agree with Monte Carlo computer calculations. These findings enable a correct application of the 'local density' approximation - for example, to the determination of state densities. Some discussion is given of the relevance of the findings to work on real liquids, and on the Anderson model of a regular lattice with random potential strengths.

引用

页码：1502 / &

共 13 条

[1] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].

ANDERSON, PW .

PHYSICAL REVIEW, 1958, 109 (05) :1492-1505

[2]

BARKER JA, 1963, INT ENCYCLOPEDIA PHY, V1

[3] LOCAL-DENSITY APPROXIMATION FOR ELECTRON EIGENSTATES IN A 1-DIMENSIONAL LIQUID MODEL [J].

BLAIR, DG .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1967, 91 (573P) :736-&

[4] EXPRESSIONS DESCRIBING ELECTRON EIGENSTATES INA 1-DIMENSIONAL LIQUID CHAIN OF WEAK WELLS [J].

BLAIR, DG .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1967, 91 (571P) :8-&

[5] NATURE OF ELECTRONIC STATES IN DISORDERED 1-DIMENSIONAL SYSTEMS [J].

BORLAND, RE .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1963, 274 (1356) :529-+

[6]

FERRAR WL, 1956, SEQUEL HIGHER ALGEBR, pCH21

[7]

FERRAR WL, 1956, SEQUEL HIGHER ALGEBR, P181

[8] THE THEORY OF IMPURITY CONDUCTION [J].

MOTT, NF ;

TWOSE, WD .

ADVANCES IN PHYSICS, 1961, 10 (38) :107-163

[9] LOCALIZED STATES IN DISORDERED LATTICES [J].

MOTT, NF ;

ALLGAIER, RS .

PHYSICA STATUS SOLIDI, 1967, 21 (01) :343-+

[10] ELECTRON EIGENSTATES IN A ONE-DIMENSIONAL LIQUID [J].

ROBERTS, AP ;

MAKINSON, RE .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1962, 79 (509) :630-&

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