Composite fermions from the algebraic point of view

Details Composite fermions from the algebraic point of view Composite fermions from the algebraic point of view

2005-07-04

arxiv.org/abs/cond-mat/0507074v1

Phys. Rev. B 72, 153309 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages 1 figure

Scientific paper

10.1103/PhysRevB.72.153309

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.

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