Supermathematics and its Applications in Statistical Physics by Franz Wegner

Author:Franz Wegner
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

with u being holomorphic. Restriction to the lowest Landau level yields the Green’s function

(20.55)

where P projects onto the lowest Landau level, and C is the projector in the z-space,

(20.56)

(20.57)

The probability distribution of the state χ 0, m has its maximum at radius . Thus, the area covered by m + 1 states is π m. The density of the states per area is then in our units,

(20.58)

The density can also be seen from G(z, z, E + i0), since for large E it decays like ρ 0∕E. This density is 1∕(2π l 2) for cyclotron length l.

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