Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-04-15
New J. Phys. 10, 083031 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
Scientific paper
10.1088/1367-2630/10/8/083031
We study the Coulomb-to-dipole transition which occurs when the separation $d$ of an electron-hole bilayer system is varied with respect to the characteristic in-layer distances. An analysis of the classical ground state configurations for harmonically confined clusters with $N\leq30$ reveals that the energetically most favorable state can differ from that of two-dimensional pure dipole or Coulomb systems. Performing a normal mode analysis for the N=19 cluster it is found that the lowest mode frequencies exhibit drastic changes when $d$ is varied. Furthermore, we present quantum-mechanical ground states for N=6, 10 and 12 spin-polarized electrons and holes. We compute the single-particle energies and orbitals in self-consistent Hartree-Fock approximation over a broad range of layer separations and coupling strengths between the limits of the ideal Fermi gas and the Wigner crystal.
Balzer Karsten
Bonitz Michael
Filinov Alexei
Ludwig Patrick
Stolz Heinrich
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