Applications of Chern-Simons Ward Identities to log(Tτ) Conductivity Calculations of the nu=1/2 System

Details Applications of Chern-Simons Ward Identities to log(Tτ) Conductivity Calculations of the nu=1/2 System Applications of Chern-Simons Ward Identities to log(Tτ) Conductivity Calculations of the nu=1/2 System

2000-02-07

arxiv.org/abs/cond-mat/0002086v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, Latex, uses pst-feyn.sty

Scientific paper

We reconsider the theory of the half-filled Landau level with impurities using the Chern-Simons formulation and study Ward identities for the Chern-Simons theory. From these we get conductivity diagrams with impurities which obey the continuity equation. We calculate the conductivity of these diagrams for which we obtain log(T\tau) divergent conductivity diagrams for low temperature T. We compare our result with the experimental values of the low temperature conductivities. Finally we calculate the conductivity for small deviations of the magnetic field B from the value nu=1/2. In this case we get a singularity in the conductivity.

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