Temperature effects on edge magnetoplasmons in the quantum Hall regime

A microscopic treatment of edge magnetoplasmons (EMP's) is presented for the case of not-too-low temperatures in which the inequality k(B)T much greater than (h) over bar u(g)/l(0). where u(g) is the group velocity of the edge states and l(0) is the magnetic length, is fulfilled, and for filling factors v=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 EMP's), which have the characteristic length l(T)=l(0)(2)k(B)T/(h) over bar u(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.