6 papers
Super-Klein tunneling in 2D Lorentzian-type barriers in graphene
Alonso Contreras-Astorga, Francisco Correa, Luis Inzunza +2
We introduce a two-dimensional model of spin-1/2 Dirac fermions in graphene subjected to a highly tunable electric field, which exhibits super-Klein tunneling. The electric field c…
The soliton nature of the super-Klein tunneling effect
Francisco Correa, Luis Inzunza, Olaf Lechtenfeld
We establish a relationship between the Davey--Stewartson II (DS II) integrable system in dimensions and quasi-exactly solvable planar interacting Dirac Hamiltonians that…
Confining kinks. -regularized one-loop kink mass shifts in exotic field theories
Luis Inzunza, Juan Mateos Guilarte, Pablo Pais
By combining stability analysis of scalar field theories with the Darboux transformation technique, we create models featuring kink-like solutions whose quantum perturbations are a…
Coupling and particle number intertwiners in the Calogero model
Francisco Correa, Luis Inzunza, Olaf Lechtenfeld
It is long known that quantum Calogero models feature intertwining operators, which increase or decrease the coupling constant by an integer amount, for any fixed number of particl…
SUSY design of smooth quantum rings in graphene
Francisco Correa, Luis Inzunza, VÃt Jakubský
We develop a suitable technique to design zero-energy graphene models with radial electrostatic potentials capable of achieving electrostatic confinement. Using the Gaussian law fo…
Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
Francisco Correa, Luis Inzunza, VÃt Jakubský
Confining Dirac fermions in graphene by electrostatic fields is a challenging task. Electric quantum dots created by a scanning tunneling microscope (STM) tip can trap zero-energy…