The effects of interactions and disorder in the two-dimensional chiral metal

Abstract

We study the two-dimensional chiral metal, which is formed at the surface of a layered three-dimensional system exhibiting the integer quantum Hall effect by hybridization of the edge states associated with each layer of the sample. We investigate mesoscopic fluctuations, dynamical screening and inelastic scattering in the chiral metal, focussing particularly on fluctuations of conductance, $\delta g(B)$, with magnetic field, $B$. The correlation function $<\delta g(B)\delta g(B+\delta B)>$ provides information on the inelastic scattering rate, ${\tau }_{in}^{-1}$, through both the variance of fluctuations and the range of correlations in $\delta B$. We calculate this correlation function for samples which are not fully phase coherent. Two regimes of behaviour exist, according to whether ${\tau }_{in}^{-1}$ is smaller or larger than ${\tau }_{\perp }^{-1}$, the rate for inter-edge tunneling, and we give results in both regimes. We also investigate dynamical screening of Coulomb interactions in the chiral metal and calculate the contribution to ${\tau }_{in}^{-1}$ from electron-electron scattering, finding ${\tau }_{in}^{-1}\propto T^{3/2}$ for ${\tau }_{in}^{-1}\ll {\tau }_{\perp }^{-1}$ at temperature $T$.

11 pages, 5 figures

References in corpus (2)

• Interaction effects and phase relaxation in disordered systems
• The transverse magnetoresistance of the two-dimensional chiral metal

Cited by in corpus (12)

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• Gapless layered three-dimensional fractional quantum Hall states
• Lifshitz transitions and crystallization of fully-polarised dipolar Fermions in an anisotropic 2D lattice
• Chiral interface states in graphene $p$-$n$ junctions
• Electron Interactions and Transport Between Coupled Quantum Hall Edges
• Transport between edge states in multilayer integer quantum Hall systems: exact treatment of Coulomb interactions and disorder
• Thouless conductances of a three-dimensional quantum Hall system
• Deconfinement and quantum liquid crystalline states of dipolar fermions in optical lattices
• Effect of surface disorder on the chiral surface states of a three-dimensional quantum Hall system
• Unconventional quantized edge transport in the presence of inter-edge coupling in intercalated graphene
• On the dephasing time of the chiral metal