735 research outputs found
Collective excitations on a surface of topological insulator
We study collective excitations in a helical electron liquid on a surface of
three-dimensional topological insulator. Electron in helical liquid obeys
Dirac-like equation for massless particless and direction of its spin is
strictly determined by its momentum. Due to this spin-momentum locking,
collective excitations in the system manifest themselves as coupled charge- and
spin-density waves. We develop quantum field-theoretical description of
spin-plasmons in helical liquid and study their properties and internal
structure. Value of spin polarization arising in the system with excited
spin-plasmons is calculated. We also consider the scattering of spin-plasmons
on magnetic and nonmagnetic impurities and external potentials, and show that
the scattering occurs mainly into two side lobes. Analogies with Dirac electron
gas in graphene are discussed.Comment: 9 pages, 6 figure
Electron-electron and electron-hole pairing in graphene structures
The superconducting pairing of electrons in doped graphene due to in-plane
and out-of-plane phonons is considered. It is shown that the structure of the
order parameter in the valley space substantially affects conditions of the
pairing. Electron-hole pairing in graphene bilayer in the strong coupling
regime is also considered. Taking into account retardation of the screened
Coulomb pairing potential shows a significant competition between the
electron-hole direct attraction and their repulsion due to virtual plasmons and
single-particle excitations.Comment: 13 pages with 4 figures; accepted for publication in Phil. Trans.
Roy. Soc.
Drift velocity of edge magnetoplasmons due to magnetic edge channels
Edge magnetoplasmons arise on a boundary of conducting layer in perpendicular
magnetic field due to an interplay of electron cyclotron motion and Coulomb
repulsion. Lateral electric field, which confines electrons inside the sample,
drives their spiraling motion in magnetic field along the edge with the average
drift velocity contributing to the total magnetoplasmon velocity. We revisit
this classical picture by developing fully quantum theory of drift velocity
starting from analysis of magnetic edge channels and their electrodynamic
response. We derive the quantum-mechanical expression for the drift velocity,
which arises in our theory as a characteristic of such response. Using the
Wiener-Hopf method to solve analytically the edge mode electrodynamic problem,
we demonstrate that the edge channel response effectively enhances the bulk
Hall response of the conducting layer and thus increases the edge
magnetoplasmon velocity. In the quasiclassical long-wavelength limit of our
model, the drift velocity is simply added to the total magnetoplasmon velocity,
in agreement with the classical picture.Comment: 10 pages, 6 figure
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