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Knight shift in a d-dimensional electron gas and quantum dot

M L Glasser

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A general expression is derived for the (paramagnetic) shielding factor for a nuclear spin embedded in a d-dimensional noninteracting electron gas and a parabolic quantum dot. We find that for d = 2 the Knight shift has no intrinsic magnetic field dependence and that for the quantum dot the shift is negligible unless the nuclear spin is near the centre.


PACS

76.60.Cq Chemical and Knight shifts

05.30.Fk Fermion systems and electron gas

73.21.La Quantum dots

71.10.Ca Electron gas, Fermi gas

MSC

81Vxx Applications to specific physical systems

Subjects

Quantum gases, liquids and solids

Condensed matter: electrical, magnetic and optical

Surfaces, interfaces and thin films

Nanoscale science and low-D systems

Statistical physics and nonlinear systems

Dates

Issue 26 (6 July 2001)

Received 21 December 2000

Published 22 June 2001



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