Realizing the Majorana Quasiparticle fermionic dynamics in \emph{(1+1)} dimensional Topological Quantum Materials*

A Majorana fermion and its dynamics are determined by the Majorana equation having equal values of spinor and conjugate field, thereby making topological quantum material a technological reality [\emph{Phys. Rev. Lett.} $\bf{121}$, 067701, 2018]. It is interesting to study the dynamics of Majorana fermions in presence of external perturbations in \emph{(1+1)} dimensions, a scalar potential by approaching for the first time implementing the methods of supersymmetric quantum mechanics [\emph{Phys. Rev. Lett.} $\bf{106}$, 060503, 2011; \emph{Rev. Mod. Phys.} $\bf{80}$, 1083, 2008]. Moreover, the dynamics of two competing effects (i.e. strain and magnetic field) is worth to focus in monolayer quantum material with the aim to explore its impact in various phenomena of quantum field theory, such as induced charge density, magnetic catalysis, symmetry breaking, dynamical mass generation, and magnetization. The combined effect of real and pseudomagnetic fields produces an induced valley polarization creating new platforms to design quantum computers and valleytronics devices.