Spin Chirality Ordering and Anomalous Hall Effect in the Ferromagnetic Kondo Lattice Model on a Triangular Lattice

被引：130

作者：

Akagi, Yutaka ^{[1
]}

Motome, Yukitoshi ^{[1
]}

机构：

[1] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2010年 / 79卷 / 08期

关键词：

spin chirality; anomalous Hall effect; Kondo lattice model; frustration; triangular lattice; Berry phase; Chern number; CHERN NUMBERS; PHASE;

D O I：

10.1143/JPSJ.79.083711

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the ground-state phase diagram for the ferromagnetic Kondo lattice model on a triangular lattice by a variational calculation for various spin orderings up to a four-site unit cell. We find that a noncoplanar four-sublattice ordering with a finite scalar spin chirality emerges at and around 1/4 filling, in addition to the 3/4-filled case which was predicted to be induced by the perfect nesting of the Fermi surface. The 1/4-filling phase is stable in a wider range of parameters than the 3/4-filling one, and includes a large region of gapped insulating state characterized by a Chern number. We also compute the Hall conductivity in the chiral-ordered phases.

引用

页数：4

共 11 条

[1] Chern numbers in discretized Brillouin zone: Efficient method of computing (spin) Hall conductances [J].

Fukui, T ;

Hatsugai, Y ;

Suzuki, H .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (06) :1674-1677

[2] Characterization of topological insulators: Chern numbers for ground state multiplet [J].

Hatsugai, Y .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (05) :1374-1377

[3] Explicit gauge fixing for degenerate multiplets: A generic setup for topological orders [J].

Hatsugai, Y .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (10) :2604-2607

[4] TOPOLOGICAL INVARIANT AND THE QUANTIZATION OF THE HALL CONDUCTANCE [J].

KOHMOTO, M .

ANNALS OF PHYSICS, 1985, 160 (02) :343-354

[5] Three-dimensional spin structure on a two-dimensional lattice:: Mn/Cu(111) [J].

Kurz, P ;

Bihlmayer, G ;

Hirai, K ;

Blügel, S .

PHYSICAL REVIEW LETTERS, 2001, 86 (06) :1106-1109

[6] Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect in Triangular Lattice Models [J].

Martin, Ivar ;

Batista, C. D. .

PHYSICAL REVIEW LETTERS, 2008, 101 (15)

[7] Possible chiral phase transition in two-dimensional solid He-3 [J].

Momoi, T ;

Kubo, K ;

Niki, K .

PHYSICAL REVIEW LETTERS, 1997, 79 (11) :2081-2084

[8] Spin anisotropy and quantum Hall effect in the kagome lattice:: Chiral spin state based on a ferromagnet [J].

Ohgushi, K ;

Murakami, S ;

Nagaosa, N .

PHYSICAL REVIEW B, 2000, 62 (10) :R6065-R6068

[9] Orbital ferromagnetism and anomalous Hall effect in antiferromagnets on the distorted fcc lattice [J].

Shindou, R ;

Nagaosa, N .

PHYSICAL REVIEW LETTERS, 2001, 87 (11) :116801-1

[10] Spin chirality, Berry phase, and anomalous Hall effect in a frustrated ferromagnet [J].

Taguchi, Y ;

Oohara, Y ;

Yoshizawa, H ;

Nagaosa, N ;

Tokura, Y .

SCIENCE, 2001, 291 (5513) :2573-2576

← 1 2 →