Optical transitions and cyclotron resonance at Landau levels split by a periodic potential

1998 ◽  
Vol 87 (5) ◽  
pp. 973-977 ◽  
Author(s):  
V. Ya. Demikhovskii ◽  
A. A. Perov
2007 ◽  
Vol 21 (08n09) ◽  
pp. 1145-1154 ◽  
Author(s):  
M. L. SADOWSKI ◽  
G. MARTINEZ ◽  
M. POTEMSKI ◽  
C. BERGER ◽  
W. A. DE HEER

We present a far infrared investigation of the optical transitions in epitaxial graphene subjected to a perpendicular magnetic field. Cyclotron-resonance-like transitions between adjacent electron Landau levels are observed, as well as interband transitions. The results are discussed in terms of existing theoretical models of Dirac fermions in graphene, and the relevant optical selection rules.


1991 ◽  
Vol 05 (21) ◽  
pp. 1431-1438
Author(s):  
D. M. Gaitonde ◽  
Sumathi Rao

We show that the lattice periodicity which causes a modulation of the charge density by a wave vector q also leads to a modulation of the flux density if the charged particles are anyons. Within mean field theory, we obtain a charge and flux density wave (CFDW) where the degenerate Landau levels of a constant magnetic field split into bands. For a weak periodic flux superimposed on a strong constant flux, anyon superconductivity at integer filling of Landau levels (corresponding to a statistics parameter of θ = π(1 − 1/ν) with ν = n = integer ) is not affected. However, at statistics corresponding to non-integer filling of Landau levels, for certain commensurability conditions between the lattice length (a), the magnetic length (l) and the filling fraction (ν), gaps open up at the Fermi level and convert an anyon metal into an anyon insulator.


1999 ◽  
Vol 77 (3) ◽  
pp. 235-240
Author(s):  
N L Kang ◽  
J Y Ryu ◽  
S D Choi

We apply the theory of magneto-optical transitions, introduced earlier by utilizing a many-body projection technique, on a system of electrons scattered by piezoelectric phonons in GaAs; the temperature dependence of the cyclotron resonance linewidth is investigated. It is shown that the width in the quantum limit increases with the temperature.PACS Nos.: 70.00--79.90


1994 ◽  
Vol 09 (05) ◽  
pp. 451-458 ◽  
Author(s):  
HARU-TADA SATO

We find a quantum group structure in two-dimensional motions of a nonrelativistic electron in a uniform magnetic field and in a periodic potential. The representation basis of the quantum algebra is composed of wave functions of the system. The quantum group symmetry commutes with the Hamiltonian and is relevant to the Landau level degeneracy. The deformation parameter q of the quantum algebra turns out to be given by the fractional filling factor v=1/m (m odd integer).


1962 ◽  
Vol 17 (5) ◽  
pp. 808-819 ◽  
Author(s):  
Masaharu Inoue

1966 ◽  
Vol 5 (4) ◽  
pp. 341-345
Author(s):  
V. A. Kovarskii ◽  
I. A. Chaikovskii

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3699-3704 ◽  
Author(s):  
R. S. DEACON ◽  
R. J. NICHOLAS ◽  
P. SHIELDS ◽  
N. J. MASON

Vertical magnetotransport measurements are used to investigate resonant transport processes in strongly coupled InAs / GaSb superlattices. Sample I-V curves display Stark-Cyclotron resonance and longitudinal-optic (LO) phonon mediated transport features. Resonant tunnelling features change dramatically above the magnetophonon condition suggesting that the Landau levels are renormalized due to interaction between LO phonon's and electrons.


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