Abstract:Boundaries and edges of a two dimensional system lower its symmetry and are usually regarded, from the point of view of charge transport, as imperfections. Here we present a first study of the behavior of graphene plasmons 1-6 in a strong magnetic field that provides a different perspective. We show that the plasmon resonance in micron size graphene disks 4,6 in a strong magnetic field splits into edge and bulk plasmon modes 7-12 with opposite dispersion relations, and that the edge plasmons at terahertz frequencies develop increasingly longer lifetimes with increasing magnetic field, in spite of potentially more defects close to the graphene edges. This unintuitive behavior is attributed to increasing quasi-one dimensional field-induced confinement and the resulting suppression of the back-scattering 13 .Due to the linear band structure of graphene 14,15 , the splitting rate of the edge and bulk modes develops a strong doping dependence, which differs from the behavior of traditional semiconductor two-dimensional electron gas (2DEG) systems 7,8,11,16 .We also observe the appearance of a higher order mode indicating an anharmonic confinement potential 17 even in these well-defined circular disks. Our work not only 2 opens an avenue for studying the physics of graphene edges, but also supports the great potential of graphene for tunable terahertz magneto-optical devices.
Main text:Plasmon excitations in graphene are currently attracting great attention [1][2][3][4][5][6]12 . This is primarily due to the high carrier mobility and the tunable carrier density, which make graphene a promising plasmonic material in the far infrared and terahertz frequency ranges 1,2,5,6,18 . Unlike metal plasmons 19 , the graphene plasmon is expected to be strongly affected by an external magnetic field due to a comparable cyclotron frequency 20-22 and plasmon frequency. The effects of a perpendicular magnetic field on the plasmons in conventional 2DEG systems have been extensively studied [7][8][9][10][11]17,23,24 . A major focus of these studies has been localized plasmons in disks 7 and submicron size quantum dots 8,17,23 .Here we report the first study of magneto-plasmons in micron size disk arrays of graphene-a different kind two dimensional system. We find that the plasmon lifetime can be dramatically modified by a magnetic field. This is especially true for the edge mode, which develops a much longer lifetime than that at zero field. This behavior is counterintuitive since imperfections of the edges may introduce more scattering and decrease the plasmon lifetime. To the best of our knowledge, this is the first demonstration of magnetic field tuning of plasmon lifetime in the terahertz frequency range.Large area graphene disk arrays on SiO 2 /Si are fabricated using standard electron beam lithography and dry etching techniques (for details, see Methods) 6 . Fig. 1a shows a 3 scanning electron micrograph of a sample with a 3-micron diameter (d = 3 m) disk array arranged in a triangular lattice, where the lattice constan...