Abstract
We have investigated the – model in the presence of a mass term which opens a gap in the energy dispersive spectrum, as well as under a uniform perpendicular quantizing magnetic field. The gap opening mass term plays the role of Zeeman splitting at low magnetic fields for this pseudospin-1 system, and, as a consequence, we are able to compare physical properties of the the – model at low and high magnetic fields. Specifically, we explore the magnetoplasmon dispersion relation in these two extreme limits. Central to the calculation of these collective modes is the dielectric function which is determined by the polarizability of the system. This latter function is generated by transition energies between subband states, as well as the overlap of their wave functions.
Highlights
The α–T3 model [1,2,3] is the most recent class of low-dimensional materials which are encouraging from a technological point of view [4]
It was discovered that, in this high magnetic field limit, transitions from the flat band dominate in the K valley as the parameter α → 0. We examine these behaviors in the low field regime, as well as at high magnetic fields, at finite temperature, in the absence of any doping
The smearing of the Fermi surface at finite temperature causes the group velocity in the long wavelength limit to be reduced compared to its zero-temperature counterpart in Figure 3 where there is doping. These results show that each magnetoplasmon branch is Landau damped at varying values of wave vector which depends on temperature, as well as the hopping and gap parameters
Summary
The α–T3 model [1,2,3] is the most recent class of low-dimensional materials which are encouraging from a technological point of view [4]. The added presence of a flat band at the Dirac point causes α–T3 to yield critical differences in its electronic and optical properties from those of graphene. This dispersionless energy band and the Dirac cones are affected by low magnetic field resulting in massive spin-1 quasiparticles near the K point. [20], it was demonstrated that, as the hopping parameter is continuously reduced to zero, there is a fundamental critical change in the behavior of the polarization function, which, in turn, leads to a softening of a magnetoplasmon mode This critical behavior takes place in the K but not the K0 valley due to the remarkably different behaviors near these two symmetry points.
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