Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-01-26
Physical Review B 65, 165306 (2002)
Physics
Condensed Matter
Strongly Correlated Electrons
19 pages, 8 figures, submitted to Phys. Rev. B on 7th April 2001. to appear in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.65.165306
We present a variational study of both unpaired and spin-singlet paired states induced in a two-dimensional electron gas at low density by a perpendicular magnetic field. It is based on an improved circular-cell approximation which leads to a number of closed analytical results. The ground-state energy of the Wigner crystal containing a single electron per cell in the lowest Landau level is obtained as a function of the filling factor $\nu$: the results are in good agreement with those of earlier approaches and predict $\nu_{c} \approx 0.25$ for the upper filling factor at which the solid-liquid transition occurs. A novel localized state of spin-singlet electron pairs is examined and found to be a competitor of the unpaired state for filling factor $\nu >1$. The corresponding phase boundary is quantitatively displayed in the magnetic field-electron density plane.
Davoudi Bahman
Moulopoulos Konstantinos
Polini Marco
Tosi Mario P.
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