Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2002-08-22
Phys. Rev. B 66 165309 (2002).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages,6 figures; to appear in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.66.165309
The problem of two electrons in a square billiard interacting via a finite-range repulsive Yukawa potential and subjected to a constant magnetic field is considered. We compute the energy spectrum for both singlet and triplet states, and for all symmetry classes, as a function of the strength and range of the interaction and of the magnetic field. We show that the short-range nature of the potential suppresses the formation of ``Wigner molecule'' states for the ground state, even in the strong interaction limit. The magnetic susceptibility $\chi(B)$ shows low-temperature paramagnetic peaks due to exchange induced singlet-triplet oscillations. The position, number and intensity of these peaks depend on the range and strength of the interaction. The contribution of the interaction to the susceptibility displays paramagnetic and diamagnetic phases as a function of $T$.
da Silva Luis G. G. V. Dias
de Aguiar Marcus A. M.
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