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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. doi:10.1088/0305-4470/22/4/001.

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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.

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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.
Issue or Number:4
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
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Deposited On:14 Apr 2008
Last Modified:08 Nov 2021 21:05

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