Berry curvature on the Fermi surface: Anomalous Hall effect as a topological Fermi-liquid property

被引：580

作者：

Haldane, FDM ^{[1
]}

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 20期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.93.206602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a bulk Fermi sea property like Landau diamagnetism, as has been previously supposed. Berry phases are a new topological ingredient that must be added to Landau Fermi-liquid theory in the presence of broken inversion or time-reversal symmetry.

引用

收藏

页码：206602 / 1

页数：4

相关论文

共 16 条

[1] HOMOTOPY AND QUANTIZATION IN CONDENSED MATTER PHYSICS [J].

AVRON, JE ;

SEILER, R ;

SIMON, B .

PHYSICAL REVIEW LETTERS, 1983, 51 (01) :51-53

[2] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[3] The anomalous Hall effect and magnetic monopoles in momentum space [J].

Fang, Z ;

Nagaosa, N ;

Takahashi, KS ;

Asamitsu, A ;

Mathieu, R ;

Ogasawara, T ;

Yamada, H ;

Kawasaki, M ;

Tokura, Y ;

Terakura, K .

SCIENCE, 2003, 302 (5642) :92-95

[4] MODEL FOR A QUANTUM HALL-EFFECT WITHOUT LANDAU-LEVELS - CONDENSED-MATTER REALIZATION OF THE PARITY ANOMALY [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1988, 61 (18) :2015-2018

[5] MAGNETIC-FIELD INDUCED MULTICOMPONENT QED3 AND QUANTUM HALL-EFFECT [J].

ISHIKAWA, K ;

MATSUYAMA, T .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1986, 33 (01) :41-45

[6]

ISHIKAWA K, 1987, NUCL PHYS B, V280, P23

[7] Anomalous Hall effect in ferromagnetic semiconductors [J].

Jungwirth, T ;

Niu, Q ;

MacDonald, AH .

PHYSICAL REVIEW LETTERS, 2002, 88 (20) :4-207208

[8] HALL EFFECT IN FERROMAGNETICS [J].

KARPLUS, R ;

LUTTINGER, JM .

PHYSICAL REVIEW, 1954, 95 (05) :1154-1160

[9] DIOPHANTINE EQUATION FOR THE 3-DIMENSIONAL QUANTUM HALL-EFFECT [J].

KOHMOTO, M ;

HALPERIN, BI ;

WU, YS .

PHYSICAL REVIEW B, 1992, 45 (23) :13488-13493

[10] Dissipationless anomalous Hall current in the ferromagnetic spinel CuCr2Se4-xBrx [J].

Lee, WL ;

Watauchi, S ;

Miller, VL ;

Cava, RJ ;

Ong, NP .

SCIENCE, 2004, 303 (5664) :1647-1649