Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models

被引：1888

作者：

Jackeli, G. ^{[1
,2
]}

Khaliullin, G. ^{[1
]}

机构：

[1] Max Planck Inst Festkorperforsch, D-70569 Stuttgart, Germany

[2] E Andronikashvili Inst Phys, GE-0177 Tbilisi, Georgia

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 102卷 / 01期

关键词：

MAGNETIC PROPERTIES; TRANSITION;

D O I：

10.1103/PhysRevLett.102.017205

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the magnetic interactions in Mott-Hubbard systems with partially filled t(2g) levels and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and leads to a rich variety of the low energy Hamiltonians that extrapolate from the Heisenberg to a quantum compass model depending on the lattice geometry. This gives way to "engineer" in such Mott insulators an exactly solvable spin model by Kitaev relevant for quantum computation. We, finally, explain "weak" ferromagnetism, with an anomalously large ferromagnetic moment, in Sr2IrO4.

引用

页数：4

共 36 条

[1]

Abragam A., 1970, ELECT PARAMAGNETIC R

[2] Weak ferromagnetism, metal-to-nonmetal transition, and negative differential resistivity in single-crystal Sr2IrO4 [J].

Cao, G ;

Bolivar, J ;

McCall, S ;

Crow, JE ;

Guertin, RP .

PHYSICAL REVIEW B, 1998, 57 (18) :R11039-R11042

[3] Spin-orbit effects in Na4Ir3O8:: A hyper-kagome lattice antiferromagnet [J].

Chen, Gang ;

Balents, Leon .

PHYSICAL REVIEW B, 2008, 78 (09)

[4] Complexity in strongly correlated electronic systems [J].

Dagotto, E .

SCIENCE, 2005, 309 (5732) :257-262

[5] Quantum compass model on the square lattice [J].

Dorier, J ;

Becca, F ;

Mila, F .

PHYSICAL REVIEW B, 2005, 72 (02)

[6] Protected qubits and Chern-Simons theories in Josephson junction arrays -: art. no. 024505 [J].

Douçot, B ;

Feigel'man, MV ;

Ioffe, LB ;

Ioselevich, AS .

PHYSICAL REVIEW B, 2005, 71 (02)

[7] Controlling spin exchange interactions of ultracold atoms in optical lattices [J].

Duan, LM ;

Demler, E ;

Lukin, MD .

PHYSICAL REVIEW LETTERS, 2003, 91 (09)

[8] Strong spin-orbit coupling effects on the fermi surface of Sr2RuO4 and Sr2RhO4 [J].

Haverkort, M. W. ;

Elfimov, I. S. ;

Tjeng, L. H. ;

Sawatzky, G. A. ;

Damascelli, A. .

PHYSICAL REVIEW LETTERS, 2008, 101 (02)

[9] NEUTRON POWDER DIFFRACTION STUDY OF THE CRYSTAL-STRUCTURES OF SR2RUO4 AND SR2IRO4 AT ROOM-TEMPERATURE AND AT 10-K [J].

HUANG, Q ;

SOUBEYROUX, JL ;

CHMAISSEM, O ;

NATALISORA, I ;

SANTORO, A ;

CAVA, RJ ;

KRAJEWSKI, JJ ;

PECK, WF .

JOURNAL OF SOLID STATE CHEMISTRY, 1994, 112 (02) :355-361

[10] Metal-insulator transitions [J].

Imada, M ;

Fujimori, A ;

Tokura, Y .

REVIEWS OF MODERN PHYSICS, 1998, 70 (04) :1039-1263

← 1 2 3 4 →