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Chern numbers for fermionic quadrupole systems

Sadun, Lorenzo and Segert, Jan (1989) Chern numbers for fermionic quadrupole systems. Journal of Physics A: Mathematical and General, 22 (4). L111-L115. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:SADjpa89

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Abstract

The authors analyse families of quantum quadrupole Hamiltonians H= Sigma alpha beta Qalpha beta Jalpha Jbeta for half-odd-integer spin, and calculate the second Chern numbers of the energy levels. Each non-zero integer occurs only a finite number of times. The adiabatic time evolution, the non-Abelian generalisation of Berry's phase, is different for each system, in contrast to Berry's example. The j=3/2 and j=1/2 cases previously analysed are the only ones with self-dual curvatures and SO(5) symmetry.


Item Type:Article
Additional Information:© 1989 IOP Publishing Ltd. Received 18 October 1988. We thank Joseph Avron, Barry Simon and Peter Weichman. The research of JS was partially supported by NSF grant DMS-8801918.
Record Number:CaltechAUTHORS:SADjpa89
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SADjpa89
Alternative URL:http://dx.doi.org/10.1088/0305-4470/22/4/001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10118
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Apr 2008
Last Modified:26 Dec 2012 09:57

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