Temperature Effects on Edge Magnetoplasmons in the Quantum Hall Regime

Abstract

A microscopic treatment of edge magnetoplasmons (EMPs) is presented for the case of not-too-low temperatures in which the inequality $k_{B}T\gg \hslash v_g/{\ell }_0$, where $v_g$ is the group velocity of the edge states and ${\ell }_0$ is the magnetic length, is fulfilled, and for filling factors $\nu =1(2)$. We have obtained independent EMP modes spatially symmetric and antisymmetric with respect to the edge. We describe in detail the spatial structure and dispersion relations of the new edge waves (edge helicons, dipole, quadrupole and octupole EMPs), which have the characteristic length ${\ell }_T={\ell }_0^2{k}_{B}T/\hslash v_g$. We have found that, in contrast to well-known results for a spatially homogeneous dissipation within the channel, the damping of the fundamental EMP at not-too-low temperatures is not quantized and has a $T^{-1}$ dependence.

10 pages, 3 figures

References in corpus (6)

• Absence of Scaling in the Integer Quantum Hall Effect
• Correlations, inhomogeneous screening, and suppression of spin-splitting in quantum wires at strong magnetic fields
• Collective Edge Excitations In The Quantum Hall Regime: Edge Helicons And Landau-level Structure
• Random-phase Approximation Treatment Of Edge Magnetoplasmons: Edge-state Screening And Nonlocality
• Observation of the logarithmic dispersion of high frequency edge excitations
• Edge-Magnetoplasmon Wave-Packet Revivals in the Quantum Hall Effect

Cited by in corpus (3)

• Temperature effects on edge-state properties in the integer quantum Hall regime
• Helical edge magnetoplasmon in the quantum Hall effect regime
• Edge magnetoplasmons in a wide armchair graphene ribbon with a weak superlattice potential: finite frequency gaps and zero group velocity