Composite fermions from the algebraic point of view
介观与纳米尺度物理
2009-11-11 v1 强关联电子
摘要
Composite fermion wavefuctions have been used to describe electrons in a strong magnetic field. We show that the polynomial part of these wavefunctions can be obtained by applying a normal ordered product of suitably defined annihilation and creation operators to an even power of the Vandermonde determinant, which can been considered as a kind of a non-trivial Fermi sea. In the case of the harmonic interaction we solve the system exactly in the lowest Landau level. The solution makes explicit the boson-fermion correspondence proposed recently.
引用
@article{arxiv.cond-mat/0507074,
title = {Composite fermions from the algebraic point of view},
author = {V. Ruuska and M. Manninen},
journal= {arXiv preprint arXiv:cond-mat/0507074},
year = {2009}
}
备注
11 pages 1 figure