Chern-Simons invariant in the Berry phase of a [Formula Presented] Hamiltonian

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 64, Issue 5, 2001, Pages 4-

  Hsiang, Wu Yi ^a   Lee, Dung Hai ^b,c  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875203624     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.64.052101     Document Type: Article

References (9)

1. M. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984).
2. We note that in order for (Formula presented) to be well defined the reference eigenvector (Formula presented) must be differentiable with respect to (Formula presented).
3. P.A.M. Dirac, Proc. R. Soc. London, Ser. A 133, 60 (1931).
4. C.N. Yang, Ann. N.Y. Acad. Sci. 294, 86 (1977).
5. S.S. Chern, Ann. Math. 47, 85 (1946).
6. S.S. Chern and J. Simoms, Ann. Math. 99, 48 (1974).
7. F. Wilczek and A. Zee, Phys. Rev. Lett. 52, 2111 (1984).
8. Y.-S. Wu and A. Zee, Phys. Lett. 147B, 325 (1984).
9. For a review see, e.g., The Quantum Hall Effect, edited by R.E. Prange and S.M. Girvin (Springer-Verlag, New York, 1986).