Quantum magneto-optics of the graphite family

Abstract

The optical conductivity of graphene, bilayer graphene, and graphite in quantizing magnetic fields is studied. Both dynamical conductivities, longitudinal and Hall's, are analytically evaluated.The conductivity peaks are explained in terms of electron transitions. We have shown that trigonal warping can be considered within the perturbation theory for strong magnetic fields larger than 1 T and in the semiclassical approach for weak fields when the Fermi energy is much larger than the cyclotron frequency. The main optical transitions obey the selection rule with ∆n = 1 for the Landau number n, however the ∆n = 2 transitions due to the trigonal warping are also possible.The Faraday/Kerr rotation and light transmission/reflection in the quantizing magnetic fields are calculated. Parameters of the Slonczewski-Weiss-McClure model are used in the fit taking into account the previous dHvA measurements and correcting some of them for the case of strong magnetic fields.

Magneto-oscillations on specific heat of graphene monolayer

“…In addition, the distance between Landau levels is very large (for example, the energy gap between the first two LLs in a magnetic field of 10 T is more than 1000 K). This leads to giant magnetooptical 3,4 and thermo-magnetic effects [5][6][7][8][9][10][11][12][13][14][15] , as well as to an unusual quantum Hall effect, which can be observed even at room temperature 1,[16][17][18] .…”

“…In addition, the distance between Landau levels is very large (for example, the energy gap between the first two LLs in a magnetic field of 10 T is more than 1000 K). This leads to giant magnetooptical 3,4 and thermo-magnetic effects [5][6][7][8][9][10][11][12][13][14][15] , as well as to an unusual quantum Hall effect, which can be observed even at room temperature 1,[16][17][18] . Due to the valence of carbon ions and the gapless energy spectrum, the electronic density of states (DOS) of graphenes vanishes at the Fermi energy and therefore any further knowledge on this issue is useful for the scientific community.…”

Quantum capacitance oscillations in graphene under crossed magnetic and electric fields

“…Magnetic and conductive thermal properties of graphenes are some of the actual problems on experimental and theoretical condensed matter physics 1 ; mainly due to its two-dimensional lattice and Dirac spectrum of energy, leading thus to uniques features. The magnetic field is responsible to the unusual energy spectrum of graphenes 2 , since its Landau levels (LLs) are nonequidistant (the gap between the first two LLs in a magnetic field of 10 T is larger than 1000 K), and then remarkable effects arise, such as the giant magneto 3,4 and thermo-magnetic effects 5 , as well as the unusual quantum Hall effect, which can be observed even at room temperature 1,6,7 ; and these facts make therefore graphenes a promising material for modern nanoelectronics. The oscillating magnetocaloric effect is also remarkable, since the normal and inverse effects can be tuned by the final value of applied magnetic field [8][9][10][11][12][13][14][15][16][17][18] ; and, from this normal-to-inverse effect, an enhanced thermomagnetic hexacycle was proposed 19 .…”