13 citations · 21 across the 3 of their papers we have counts for
6 papers
Design of quasiperiodic magnetic superlattices and domain walls supporting bound states
Miguel Castillo-Celeita, Alonso Contreras-Astorga, David J. Fernández C
We study the simplest Lamé magnetic superlattice in graphene, finding its allowed and forbidden energy bands and band-edge states explicitly. Then, we design quasiperiodic magnetic…
Complex Supersymmetry in Graphene
Miguel Castillo-Celeita, Alonso Contreras-Astorga, David J. Fernández C
This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows bu…
Coherent states for graphene under the interaction of crossed electric and magnetic fields
Miguel Castillo-Celeita, Erik Díaz-Bautista, Maurice Oliva-Leyva
We construct the coherent states for charge carriers in a graphene layer immersed in crossed external electric and magnetic fields. For that purpose, we solve the Dirac-Weyl equati…
Dirac electron in graphene with magnetic fields arising from first-order intertwining operators
Miguel Castillo-Celeita, David J. Fernández C
The behaviour of a Dirac electron in graphene, under magnetic fields which are orthogonal to the layer, is studied. The initial problem is reduced to an equivalent one, where two o…
Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases
Miguel Castillo-Celeita, Erik Díaz-Bautista, David J. Fernández C
In this paper we will realize the polynomial Heisenberg algebras through the harmonic oscillator. We are going to construct then the Barut-Girardello coherent states, which coincid…
The good, the bad and the ugly coherent states through polynomial Heisenberg algebras
Miguel Castillo-Celeita, David J. Fernandez C
Second degree polynomial Heisenberg algebras are realized through the harmonic oscillator Hamiltonian, together with two deformed ladder operators chosen as the third powers of the…