Shot noise in the half-filled Landau level

Felix von Oppen
1997 Physical Review B (Condensed Matter)  
Shot noise in the half-filled Landau level is studied within the composite-fermion picture, focusing on the diffusive regime. The composite fermions are assumed to form a Fermi liquid with nontrivial Fermi-liquid parameters. The Boltzmann-Langevin equation for this system is derived, taking proper account of fluctuations in both the Chern-Simons and the physical electric and magnetic fields. To leading order, the noise properties of composite fermions are found to equal those of semiclassical
more » ... ectrons in the external magnetic field. Non-equilibrium fluctuations in the Hall voltage are dominated by fluctuations in the Chern-Simons electric field, reflecting the finite Hall resistance of the system. The low-frequency noise power is derived in detail for the Corbino-disc geometry and turns out to be unaffected both by nontrivial Fermi-liquid parameters and by the magnetic field. The formalism is also applied to compute thermal density-density and current-current correlators at finite frequency and wavevector.
doi:10.1103/physrevb.56.9674 fatcat:sdymprrwbzaxtixlluqpr6mbhy