198 citations · 465 across the 7 of their papers we have counts for
7 papers
General theory of perturbation of infinite resistor networks
József Cserti, Gyula Dávid
The effective resistance between any two nodes in a perturbed resistor network is determined by removing multiple bonds from an infinite resistor lattice. We have developed an effi…
Frequency dependent magneto-optical conductivity in the generalized model
Áron Dániel Kovács, Gyula Dávid, Balázs Dóra +1
We have studied a generalized three band crossing model in 2D, the generalized lattice, ranging from the pseudospin-1 Dirac equation through a quadratic+flat band touching…
Diverging dc conductivity due to a flat band in disordered pseudospin-1 Dirac-Weyl fermions
Máté Vigh, László Oroszlány, Szabolcs Vajna +4
Several lattices, such as the dice or the Lieb lattice, possess Dirac cones and a flat band crossing the Dirac point, whose effective model is the pseudospin-1 Dirac-Weyl equation.…
Effect of the band structure topology on the minimal conductivity for bilayer graphene with symmetry breaking
Gyula Dávid, Péter Rakyta, László Oroszlány +1
Using the Kubo formula we develop a general and simple expression for the minimal conductivity in systems described by a two by two Hamiltonian. As an application we derive an anal…
Relation between Zitterbewegung and the charge conductivity, Berry curvature and the Chern number of multi band systems
József Cserti, Gyula Dávid
We show that the charge conductivity for impurity free multi band electronic systems can be expressed in terms of the diagonal and non-diagonal elements of the Zitterbewegung ampli…
Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
József Cserti, Gyula Dávid
We present a unified treatment of Zitterbewegung phenomena for a wide class of systems including spintronic, graphene, and superconducting systems. We derive an explicit expression…
Perturbation of infinite networks of resistors
József Cserti, Gyula Dávid, Attila Piróth
The resistance between arbitrary nodes of infinite networks of resistors is studied when the network is perturbed by removing one bond from the perfect lattice. A connection is mad…