Temperature Effects on Edge Magnetoplasmons in the Quantum Hall Regime

TL;DR

This paper presents a microscopic analysis of edge magnetoplasmons at finite temperatures in the quantum Hall regime, revealing new edge wave modes and temperature-dependent damping behavior.

Contribution

It introduces a detailed microscopic model for EMPs at higher temperatures, identifying new edge wave modes and their dispersion, and describes temperature-dependent damping effects.

Findings

Identified symmetric and antisymmetric EMP modes.

Discovered new edge wave modes such as edge helicons and multipole EMPs.

Found that EMP damping varies as T^{-1} at not-too-low temperatures.

Abstract

A microscopic treatment of edge magnetoplasmons (EMPs) is presented for the case of not-too-low temperatures in which the inequality $k_{B}T\gg \hbar v_{g}/\ell_{0}$, 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 $\ell_{T}=\ell_{0}^{2}k_{B}T/\hbar v_{g}$. 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.