Research paperTheoreticalRelativistic particles in super-periodic potentials: exploring graphene and fractal systemsSudhanshu Shekhar, Bhabani Prasad Mandal, Anirban Dutta2024·10.1103/s82p-5sxv·arXiv:2412.13220AbstractWe employ the transfer matrix method to investigate relativistic particles in super-periodic potentials of arbitrary order. We derive reflection and transmission probabilities for spinless Klein particles encountering rectangular potential barriers with super-periodic repetition, and analytically study massless Dirac electrons in monolayer graphene subjected to super-periodic electrostatic barriers. We evaluate transmission probability, conductance, and Fano factor versus barrier number, super-periodicity order, and incidence angle, and extend the analysis to generalized Cantor and Smith-Volterra-Cantor fractal potentials.Read more
Analytical monolayer graphene system modeled as massless Dirac electrons under super-periodic electrostatic barriers.No measurements recordedSimulatedCStudied MaterialExpand
General Cantor fractal potential system analyzed for tunneling probability under increasing fractal stage G.No measurements recordedSimulatedgeneral Cantor fractal potential systemStudied MaterialExpand
General Smith-Volterra-Cantor fractal potential system analyzed for tunneling coefficient and saturation behavior at higher stages G.No measurements recordedSimulatedgeneral Smith-Volterra-Cantor potential systemStudied MaterialExpand
Research paperTheoreticalRelativistic particles in super-periodic potentials: exploring graphene and fractal systemsSudhanshu Shekhar, Bhabani Prasad Mandal, Anirban Dutta2024·10.1103/s82p-5sxv·arXiv:2412.13220AbstractWe employ the transfer matrix method to investigate relativistic particles in super-periodic potentials of arbitrary order. We derive reflection and transmission probabilities for spinless Klein particles encountering rectangular potential barriers with super-periodic repetition, and analytically study massless Dirac electrons in monolayer graphene subjected to super-periodic electrostatic barriers. We evaluate transmission probability, conductance, and Fano factor versus barrier number, super-periodicity order, and incidence angle, and extend the analysis to generalized Cantor and Smith-Volterra-Cantor fractal potentials.Read more
Analytical monolayer graphene system modeled as massless Dirac electrons under super-periodic electrostatic barriers.No measurements recordedSimulatedCStudied MaterialExpand
General Cantor fractal potential system analyzed for tunneling probability under increasing fractal stage G.No measurements recordedSimulatedgeneral Cantor fractal potential systemStudied MaterialExpand
General Smith-Volterra-Cantor fractal potential system analyzed for tunneling coefficient and saturation behavior at higher stages G.No measurements recordedSimulatedgeneral Smith-Volterra-Cantor potential systemStudied MaterialExpand
Research paperTheoreticalRelativistic particles in super-periodic potentials: exploring graphene and fractal systemsSudhanshu Shekhar, Bhabani Prasad Mandal, Anirban Dutta2024·10.1103/s82p-5sxv·arXiv:2412.13220AbstractWe employ the transfer matrix method to investigate relativistic particles in super-periodic potentials of arbitrary order. We derive reflection and transmission probabilities for spinless Klein particles encountering rectangular potential barriers with super-periodic repetition, and analytically study massless Dirac electrons in monolayer graphene subjected to super-periodic electrostatic barriers. We evaluate transmission probability, conductance, and Fano factor versus barrier number, super-periodicity order, and incidence angle, and extend the analysis to generalized Cantor and Smith-Volterra-Cantor fractal potentials.Read more
Analytical monolayer graphene system modeled as massless Dirac electrons under super-periodic electrostatic barriers.No measurements recordedSimulatedCStudied MaterialExpand
General Cantor fractal potential system analyzed for tunneling probability under increasing fractal stage G.No measurements recordedSimulatedgeneral Cantor fractal potential systemStudied MaterialExpand
General Smith-Volterra-Cantor fractal potential system analyzed for tunneling coefficient and saturation behavior at higher stages G.No measurements recordedSimulatedgeneral Smith-Volterra-Cantor potential systemStudied MaterialExpand
Research paperTheoreticalRelativistic particles in super-periodic potentials: exploring graphene and fractal systemsSudhanshu Shekhar, Bhabani Prasad Mandal, Anirban Dutta2024·10.1103/s82p-5sxv·arXiv:2412.13220AbstractWe employ the transfer matrix method to investigate relativistic particles in super-periodic potentials of arbitrary order. We derive reflection and transmission probabilities for spinless Klein particles encountering rectangular potential barriers with super-periodic repetition, and analytically study massless Dirac electrons in monolayer graphene subjected to super-periodic electrostatic barriers. We evaluate transmission probability, conductance, and Fano factor versus barrier number, super-periodicity order, and incidence angle, and extend the analysis to generalized Cantor and Smith-Volterra-Cantor fractal potentials.Read more
Analytical monolayer graphene system modeled as massless Dirac electrons under super-periodic electrostatic barriers.No measurements recordedSimulatedCStudied MaterialExpand
General Cantor fractal potential system analyzed for tunneling probability under increasing fractal stage G.No measurements recordedSimulatedgeneral Cantor fractal potential systemStudied MaterialExpand
General Smith-Volterra-Cantor fractal potential system analyzed for tunneling coefficient and saturation behavior at higher stages G.No measurements recordedSimulatedgeneral Smith-Volterra-Cantor potential systemStudied MaterialExpand
