On the ground state of a completely filled lowest Landau level in two dimensions
Abstract
There exists a widely believed opinion, that the manybody ground state of a twodimensional electron system at a completely filled lowest Landau level (the filling factor $\nu=1$) is described by the socalled HartreeFock wave function, and that this solution is the unique, exact eigenstate of the system at $\nu=1$. I show that this opinion is erroneous, construct an infinite number of other variational manybody wave functions, and discuss the properties of a few states which have the energy substantially lower than the energy of the HartreeFock state.
 Publication:

arXiv eprints
 Pub Date:
 June 2000
 arXiv:
 arXiv:condmat/0006278
 Bibcode:
 2000cond.mat..6278M
 Keywords:

 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 REVTeX, 4 pages, 1 figure, some minor changes in the text