Laughlin Spin-Liquid States on Lattices Obtained from Conformal Field Theory

被引：87

作者：

Nielsen, Anne E. B. ^{[1
]}

Cirac, J. Ignacio ^{[1
]}

Sierra, German ^{[2
]}

机构：

[1] Max Planck Inst Quantum Opt, D-85748 Garching, Germany

[2] UAM CSIC, Inst Fis Teor, Madrid, Spain

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 25期

关键词：

INCOMPRESSIBLE QUANTUM FLUID; RESONATING-VALENCE-BOND; CHAIN;

D O I：

10.1103/PhysRevLett.108.257206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a set of spin system wave functions that is very similar to lattice versions of the Laughlin states. The wave functions are conformal blocks of conformal field theories and for a filling factor of nu = 1/2 we provide a parent Hamiltonian, which is valid for any even number of spins and is at the same time a 2D generalization of the Haldane-Shastry model. We also demonstrate that the Kalmeyer-Laughlin state is reproduced as a particular case of this model. Finally, we discuss various properties of the spin states and point out several analogies to known results for the Laughlin states.

引用

页数：5