Collective cyclotron motion of the relativistic plasma in graphene

Details Collective cyclotron motion of the relativistic plasma in graphene Collective cyclotron motion of the relativistic plasma in graphene

2008-01-21

arxiv.org/abs/0801.2970v3

Phys.Rev.B78:115419,2008

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 2 figures; calculation of giant Nernst effect in graphene added

Scientific paper

10.1103/PhysRevB.78.115419

We present a theory of the finite temperature thermo-electric response functions of graphene, in the hydrodynamic regime induced by electron-electron collisions. In moderate magnetic fields, the Dirac particles undergo a collective cyclotron motion with a temperature-dependent relativistic cyclotron frequency proportional to the net charge density of the Dirac plasma. In contrast to the undamped cyclotron pole in Galilean-invariant systems (Kohn's theorem), here there is a finite damping induced by collisions between the counter-propagating particles and holes. This cyclotron motion shows up as a damped pole in the frequency dependent conductivities, and should be readily detectable in microwave measurements at room temperature. We also discuss the large Nernst effect to be expected in graphene.

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