Composite fermions from the algebraic point of view
arXiv:cond-mat/0507074 · doi:10.1103/PhysRevB.72.153309
Abstract
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.
arXiv comment11 pages 1 figure
References in corpus (5)
- Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
- Composite Fermions in Quantum Dots
- Universal vortex formation in rotating traps with bosons and fermions
- Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields
- Numerical Study of Hierarchical Hall Edge States on the Disk Geometry
Cited by in corpus (5)
- Vortices in quantum droplets: Analogies between boson and fermion systems
- Vortex localization in rotating clouds of bosons and fermions
- Spectral properties of rotating electrons in quantum dots and their relation to quantum Hall liquids
- Universality of Many-Body States in Rotating Bose and Fermi Systems
- Localization of particles in harmonic confinement: Effect of the interparticle interaction