Temperature Effects on Edge Magnetoplasmons in the Quantum Hall Regime

Details Temperature Effects on Edge Magnetoplasmons in the Quantum Hall Regime Temperature Effects on Edge Magnetoplasmons in the Quantum Hall Regime

1999-09-15

arxiv.org/abs/cond-mat/9909223v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 3 figures

Scientific paper

10.1103/PhysRevB.61.2703

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.

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