Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields

Details Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields

2004-04-30

arxiv.org/abs/cond-mat/0404747v1

Phys. Rev. B 69, 241304(R) (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, 3 tables

Scientific paper

10.1103/PhysRevB.69.241304

Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in this paper a perturbative scheme based on the correlated basis functions of the composite-fermion theory, that allows a systematic improvement of the wave functions and the energies for low-lying eigenstates. For a test of the method, we study systems for which exact results are known, and find that practically exact answers are obtained for the ground state wave function, ground state energy, excitation gap, and the pair correlation function. We show how the perturbative scheme helps resolve the subtle physics of competing orders in certain anomalous cases.

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