Antiferromagnetic Spin-S Chains with Exactly Dimerized Ground States

被引：42

作者：

Michaud, Frederic ^{[1
]}

Vernay, Francois ^{[2
,3
]}

Manmana, Salvatore R. ^{[4
,5
,6
]}

Mila, Frederic ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Inst Theoret Phys, CH-1015 Lausanne, Switzerland

[2] Lab PROMES UPR 8521, F-66860 Perpignan, France

[3] UPVD, F-66860 Perpignan, France

[4] Univ Colorado, JILA, Boulder, CO 80309 USA

[5] Univ Colorado, Dept Phys, Boulder, CO 80309 USA

[6] NIST, JILA, Boulder, CO 80309 USA

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 12期

关键词：

NEAREST-NEIGHBOR INTERACTION; ISOTROPIC HEISENBERG CHAIN; ARBITRARY SPINS; LINEAR CHAIN; QUANTUM; MODEL; EXCITATIONS; TRANSITION; LATTICE; S=1;

D O I：

10.1103/PhysRevLett.108.127202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (Si-1 center dot S-i)(S-i center dot S-i (+) (1)) + H.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one is equal to 1/[4S(S + 1) - 2]. This result generalizes the Majumdar-Ghosh point of the J(1) - J(2) chain, to which the present model reduces for S = 1/2. For S = 1, we use the density matrix renormalization group method to show that the transition between the Haldane and the dimerized phases is continuous with a central charge c = 3/2. Finally, we show that such a three-body interaction appears naturally in a strong-coupling expansion of the Hubbard model, and we discuss the consequences for the dimerization of actual antiferromagnetic chains.

引用

页数：5

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