(Mis-)handling gauge invariance in the theory of the quantum hall effect. i. unifying action and the (formula presented) state

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 24, 1999, Pages 16807-16820

  Pruisken, A M M ^a   Baranov, M A ^a   Skoric B ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001064222     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.16807     Document Type: Article

References (36)

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31. A similar phenomenon is well known to occur in ordinary Fermi liquid theory, where large frequency sums or non-Fermi level quantities contribute to the effective Landau parameters.
32. M. A. Baranov and A. M. M. Pruisken (unpublished). A simplified version of this theory is given in Appendix B.
33. The invariance of (Formula presented) can be easily understood by first writing (Formula presented)and then splitting (Formula presented)The second term on the right-hand side has nonzero matrix elements only in the upper-left-hand and lower-right-hand corners, i.e., in a small neighborhood of the extreme diagonal components (Formula presented) and (Formula presented) as can be seen by expanding the exponential form of (Formula presented) in powers of the (Formula presented) matrices. Therefore, this term commutes with (Formula presented) and we have (Formula presented)
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