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We investigate edge magnetoplasmons in semi-infinite graphene sheets. Similar to an ordinary two-dimensional electron system (2DES), at zero temperature graphene sheets exhibit two magnetoplasmon branches, a higher-energy one starting at the $n=1$ Landau level (cyclotron frequency) and a lower-energy edge branch starting at zero frequency. However, in contrast to a 2DES with parabolic dispersion, at nonzero temperatures an extra magnetoplasmon branch arises at the $n=1$ Landau level and has the same edge current rotation as the lower-energy branch.
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Wang et al. (2012) studied this question.
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