Advertisement

Gauge Invariance in Non-Relativistic Many-Body Theory

  • J. Fröhlich
  • U. M. Studer
Conference paper

Abstract

We review some recent results on the physics of two-dimensional, incompressible electron- and spin liquids. These results follow from Ward identities reflecting the U(1)em × SU(2)spin-gauge invariance of non-relativistic quantum mechanics. They describe a variety of generalized quantized Hall effects.

Keywords

Hall Effect Ward Identity Anomalous Magnetic Moment Spin Current Microscopic Dynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Aharonov, Y., Bohm, D.: Phys.Rev. 115, 485 (1959)MathSciNetCrossRefMATHADSGoogle Scholar
  2. Aharonov, Y., Casher, A.: Phys.Rev.Lett. 53, 319 (1984)MathSciNetCrossRefADSGoogle Scholar
  3. 2.
    Fröhlich, J., Studer, U.M.:U(1) X SU(2)-Gauge Invariance of Non-Relativis-tic Quantum Mechanics and Generalized Hall Effects. ETH-TH/91–13, submitted to Phys.Rev. BGoogle Scholar
  4. 3.
    Fröhlich, J., Kerler, T.: Nuclear Phys. B 354, 369 (1991)MathSciNetCrossRefADSGoogle Scholar
  5. Fröhlich, J., Zee, A.: Nuclear Phys. B (1991), in pressGoogle Scholar
  6. 4.
    Wilczek, F., Zee, A.: Phys.Rev. Lett. 51, 2250 (1983)MathSciNetCrossRefADSGoogle Scholar
  7. 5.
    Halperin, B.I.: Helv.Phys.Acta 56, 75 (1983)Google Scholar
  8. 6.
    Haidane, F.D.M., Rezayi, E.H.: Phys.Rev.Lett. 60, 956 (1988)CrossRefADSGoogle Scholar
  9. 7.
    Eisenstein, J.P. et al.: Phys.Rev.Lett. 62, 1540 (1989)CrossRefADSGoogle Scholar
  10. 8.
    Greiter, M., Wen, X.G., Wilczek, F.: Phys.Rev.Lett. 66, 3205 (1991)CrossRefADSGoogle Scholar
  11. 9.
    Baym, G.: Lectures on Quantum Mechanics. Benjamin/Commings Publishing Company, Reading, Massachusetts, 1969MATHGoogle Scholar
  12. 10.
    Messiah, A.: Quantum Mechanics. North-Holland Publishing Company, Amsterdam, 1961Google Scholar
  13. 11.
    Piron, C.: Mécanique Quantique (Base et Applications) (Presses Polytechniques et Universitaires Romandes, Lausanne, 1990)Google Scholar
  14. 12.
    Halperin, B.I.: Phys.Rev. B 25, 2185 (1982)MathSciNetCrossRefADSGoogle Scholar
  15. 13.
    Wen, X.G.: Phys.Rev. B 43, 11025 (1991)CrossRefADSGoogle Scholar
  16. 14.
    MacDonald, A.H.: Phys.Rev. Lett. 64, 220 (1990)CrossRefADSGoogle Scholar
  17. Blok, B., Wen, X.G.: Phys.Rev. B 42, 8133 (1990)CrossRefADSGoogle Scholar
  18. Stone, M.: Internat.J.Modern Phys. B 5, 509 (1991)MathSciNetCrossRefADSGoogle Scholar
  19. 15.
    Volovik, G.E. Yakovenko, V.M.: J.Phys.: Condens.Matter 1, 5263 (1989)ADSGoogle Scholar
  20. 16.
    Fröhlich, J. Studer, U.M.: preprint, to appearGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • J. Fröhlich
    • 1
  • U. M. Studer
    • 1
  1. 1.Institute of Theoretical PhysicsETH-HönggerbergZürichGermany

Personalised recommendations