Landau levels in graphene in crossed magnetic and electric fields: Quasi-classical approach

Oscillating magnetocaloric effect of a multilayer graphene

“…[23][24][25][26] For a 2D electron gas, the area enclosed by the trajectory of an electron with energy e ¼ e(p) (in the momentum space) reads as 21,22 A n ðeÞ ¼ 2p heHðn þ c r Þ;…”

Thermoelectric effect in single layer epitaxial graphene formed on semiconductor substrate. Simple analytical model

“…Davydov and Z.Z. Alisultanov [13][14][15][16][17][18]22]. Realized in these works numerous comparison of analytical results with the experimental data and the data obtained from the first principles, show that the model used is quite adequate and can be used for qualitative calculations.…”

“…This generates the well known kinks in conductivity [12,20,21]. A detailed study of the transport properties of epitaxial graphene formed on the semiconductor substrate is given in [22]. In this work, the dependence of static and dynamic conductivity on temperature is also investigated.…”

Analytical Solution of (2+1) Dimensional Dirac Equation in Time-Dependent Noncommutative Phase-Space

“…However, the motivations for choosing to study the (2+1) dimensional Dirac equation are due to several important works in this context, such as the investigations of Landau levels [19], the oscillation of magnetization [20], Weiss oscillation [21], de Haas-van Alphen effect [22], analysis through coherent states [23], the movement of electrons transporters in graphene and other materials [24], etc. Particularly, the 2 dimensional Dirac equation in interaction with a homogeneous magnetic field has various applications in graphene, such as in refs [25,26], and in studying quantum Hall effect and fractional Hall effects [27,28], Berry phase [29], etc.…”