Landau Level Mixing and Solenoidal Terms in Lowest Landau Level Currents

Details Landau Level Mixing and Solenoidal Terms in Lowest Landau Level Currents Landau Level Mixing and Solenoidal Terms in Lowest Landau Level Currents

1994-06-03

arxiv.org/abs/cond-mat/9406020v1

Physics

Condensed Matter

12 pages + 2 figures, Revtex 3.0, UIUC preprint P-94-04-029, (to appear in Mod. Phys. Lett. B)

Scientific paper

We calculate the lowest Landau level (LLL) current by working in the full Hilbert space of a two dimensional electron system in a magnetic field and keeping all the non-vanishing terms in the high field limit. The answer a) is not represented by a simple LLL operator and b) differs from the current operator, recently derived by Martinez and Stone in a field theoretic LLL formalism, by solenoidal terms. Though that is consistent with the inevitable ambiguities of their Noether construction, we argue that the correct answer cannot arise naturally in the LLL formalism.

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