Effective Hamiltonian and low-lying eigenenergy clustering patterns of four-sublattice antiferromagnets

被引：5

作者：

Zhang, NG ^{[1
]}

Henley, CL

Rischel, C

Lefmann, K

机构：

[1] Cornell Univ, Dept Phys, Ithaca, NY 14853 USA

[2] Univ Copenhagen, Niels Bohr Inst, DK-2100 Kbenhavn, Denmark

[3] Riso Natl Lab, Mat Res Dept, DK-4000 Roskilde, Denmark

来源：

PHYSICAL REVIEW B | 2002年 / 65卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevB.65.064427

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the low-lying eigenenergy clustering patterns of quantum antiferromagnets with p sublattices (in particular p = 4). We treat each sublattice as a large spin, and using second-order degenerate perturbation theory, we derive the effective (biquadratic) Hamiltonian coupling the p large spins. In order to compare with exact diagonalizations, the Hamiltonian is explicitly written for a finite-size lattice, and it contains information on energies of excited states as well as the ground state. The result is applied to the face-centered-cubic Type-I antiferromagnet of spin 1/2, including second-neighbor interactions. A 32-site system is exactly diagonalized, and the energy spectrum of the low-lying singlets follows the analytically predicted clustering pattern.

引用

页码：644271 / 6442717

页数：17

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