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Magnetic-field dependence of energy levels in ultrasmall metal grains S. Adam, M. L. Polianski, X. Waintal,* and P. W. Brouwer
 

Summary: Magnetic-field dependence of energy levels in ultrasmall metal grains
S. Adam, M. L. Polianski, X. Waintal,* and P. W. Brouwer
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501
Received 19 June 2002; published 20 November 2002
We present a theory of mesoscopic fluctuations of g tensors and avoided crossing energies in a small metal
grain. The model, based on random matrix theory, contains both the orbital and spin contributions to the g
tensor. The two contributions can be experimentally separated for weak spin­orbit coupling while they merge
in the strong coupling limit. For intermediate coupling, substantial correlations are found between g factors of
neighboring levels.
DOI: 10.1103/PhysRevB.66.195412 PACS number s : 73.23.Hk, 71.70.Ej
I. INTRODUCTION
Recent developments in nanofabrication techniques have
allowed for the resolution of individual ``particle-in-a-box''
energy levels in small metal grains or semiconductor quan-
tum dots using tunneling spectroscopy.1­4
In the absence of a
magnetic field, the energy levels are twofold degenerate
Kramers' degeneracy . An applied magnetic field B lifts the
degeneracy; the splitting of the doublet is described with the
help of a ``g factor,''

  

Source: Adam, Shaffique - Condensed Matter Theory Center, University of Maryland at College Park

 

Collections: Physics