Geometric and impurity effects on quantum rings in magnetic fields

Details Geometric and impurity effects on quantum rings in magnetic fields Geometric and impurity effects on quantum rings in magnetic fields

2006-03-29

arxiv.org/abs/cond-mat/0603795v1

Phys. Rev. B 73, 195310 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 7 figures, to appear in PRB

Scientific paper

10.1103/PhysRevB.73.195310

We investigate the effects of impurities and changing ring geometry on the energetics of quantum rings under different magnetic field strengths. We show that as the magnetic field and/or the electron number are/is increased, both the quasiperiodic Aharonov-Bohm oscillations and various magnetic phases become insensitive to whether the ring is circular or square in shape. This is in qualitative agreement with experiments. However, we also find that the Aharonov-Bohm oscillation can be greatly phase-shifted by only a few impurities and can be completely obliterated by a high level of impurity density. In the many-electron calculations we use a recently developed fourth-order imaginary time projection algorithm that can exactly compute the density matrix of a free-electron in a uniform magnetic field.

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