Scattering matrix of arbitrary tight-binding Hamiltonians

Abstract

A novel efficient method to calculate the scattering matrix (SM) of arbitrary tight-binding Hamiltonians is proposed, including cases with multiterminal structures. In particular, the SM of two kind of fundamental structures are given, which can be used to obtain the SM of bigger systems iteratively. Also, a procedure to obtain the SM of layer-composed periodic leads is described. This method allows renormalization approaches, which permits computations over macroscopic length systems without introducing additional approximations. Finally, the transmission coefficient of a ring-shaped multiterminal system and the transmission function of a square-lattice nanoribbon with a reduced width region are calculated.

arXiv comment7 figures

References in corpus (4)

• Electronic transport of a large scale system studied by renormalized transfer matrix method: application to armchair graphene nanoribbons between quantum wires
• Electronic transmission in bent quantum wires
• Electron transmission through the stacking domain boundary in multilayers graphene
• Stroboscopic wave packet description of time-dependent currents through ring-shaped nanostructures

Cited by in corpus (7)

• Bound states in and out of the continuum in nanoribbons with wider sections: A novel recursive S-matrix method
• Taylor series of Landauer conductance
• Improved performance in quantum transport calculations: A divide-and-conquer method based on S-matrices
• Dots and Boxes Algorithm for Peierls Substitution: Application to Multidomain Topological Insulators
• Robust Topological Bound States in the Continuum in a Quantum Hall Bar with an Anti-dot
• Dynamical Jahn-Teller effects on the generation of electronic ring currents by circularly polarized light
• Band engineering aided by topological edge state proximity effects: Inducing anti-chirality in graphene