| Issue |
Europhys. Lett.
Volume 74, Number 3, May 2006
|
|
|---|---|---|
| Page(s) | 486 - 492 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2005-10545-8 | |
| Published online | 22 March 2006 | |
Monte Carlo study of Bose Laughlin wave function for filling factors 
, 
and 
Department of Physics, Prairie View A&M University - Prairie View, TX 77446, USA
Received:
20
September
2005
Accepted:
1
March
2006
Strongly correlated two-dimensional electronic systems
subject to a perpendicular magnetic field at
lowest Landau level (LLL) filling factors: 
, 
and 
,
are believed to be composite-fermion (CF) Fermi liquid phases.
Even though a Bose Laughlin wave function cannot describe these
filling factors, we investigate whether such a wave function provides
a lower energy bound to the true CF Fermi liquid energies.
By using Monte Carlo simulations in disk geometry
we compute the Bose Laughlin energies and compare them
to corresponding results for the spin-polarized LLL CF Fermi liquid
state and avalable data from the literature.
We find the unexpected result that, for filling factors 
and ,
the Bose Laughlin ground-state energy is practically identical to the
true CF liquid energy while this is not the case at 
where
the Bose Laughlin ground-state energy is sizeably lower than the energy
of the CF Fermi liquid state.
PACS: 73.43.-f – Quantum Hall effects / 05.30.Fk – Fermion systems and electron gas / 71.70.Di – Landau levels
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.