Shot noise in the half-filled Landau level

Abstract

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 electrons 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.

10 pages, LaTex, no figures, to appear in Phys.Rev.B

References in corpus (1)

• Composite fermions in the Fractional Quantum Hall Effect: Transport at finite wavevector

Cited by in corpus (7)

• Shot Noise in Mesoscopic Conductors
• Backscattering Between Helical Edge States via Dynamic Nuclear Polarization
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Composite fermion edge states, fractional charge and current noise
• Breakdown of zero-energy quantum Hall state in graphene in the light of current fluctuations and shot noise
• A single-particle path integral for composite fermions and the renormalization of the effective mass
• Two-step breakdown of a local v = 1 quantum Hall state