FERROMAGNETIC GROUND-STATES FOR THE HUBBARD-MODEL ON LINE GRAPHS

被引：369

作者：

MIELKE, A

机构：

[1] Inst. de Physique Theorique, Ecole Polytech. Federale de Lausanne

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 02期

关键词：

D O I：

10.1088/0305-4470/24/2/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss some of the properties of the Hubbard model on a line graph with n vertices. It is shown that the model has ferromagnetic ground states if the interaction is repulsive (U > 0) and if the number of electrons N satisfies 2n greater-than-or-equal-to N greater-than-or-equal-to M. M is a natural number that depends on the line graph. For example, the Kagome lattice is a line graph, it has M = 5n/3-1.

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页码：L73 / L77

页数：5

相关论文

共 13 条

[1] MAGNETIC-PROPERTIES OF SOME ITINERANT-ELECTRON SYSTEMS AT T-GREATER-THAN-0 [J].

AIZENMAN, M ;

LIEB, EH .

PHYSICAL REVIEW LETTERS, 1990, 65 (12) :1470-1473

[2] ORDERING AND ANTIFERROMAGNETISM IN FERRITES [J].

ANDERSON, PW .

PHYSICAL REVIEW, 1956, 102 (04) :1008-1013

[3]

Biggs N., 1974, ALGEBRAIC GRAPH THEO

[4] POSSIBILITY OF SATURATED FERROMAGNETISM [J].

HERRING, C .

PHYSICAL REVIEW B, 1975, 11 (05) :2056-2061

[5] GRAPHS WHOSE LEAST EIGENVALUE EXCEEDS-1-SQUARE-ROOT-2 [J].

HOFFMAN, AJ .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1977, 16 (02) :153-165

[6] ELECTRON CORRELATIONS IN NARROW ENERGY BANDS .2. DEGENERATE BAND CASE [J].

HUBBARD, J .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1964, 277 (1368) :237-+

[7] ELECTRON CORRELATIONS IN NARROW ENERGY BANDS [J].

HUBBARD, J .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1963, 276 (1364) :238-+

[8] 2 THEOREMS ON THE HUBBARD-MODEL [J].

LIEB, EH .

PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1201-1204

[9]

MIELKE A, 1991, IN PRES J STAT PHYS

[10] FERROMAGNETISM IN A NARROW ALMOST HALF-FILLED S BAND [J].

NAGAOKA, Y .

PHYSICAL REVIEW, 1966, 147 (01) :392-&