14 citations · 41 across the 8 of their papers we have counts for
8 papers
Analytical proof of Schottky Conjecture for multi-stage field emitters
Edgar Marcelino
Schottky Conjecture is analytically proved for multi-stage field emitters consisting on the superposition of rectangular or trapezoidal protrusions on a line under some specific li…
First-principles analysis of nanoelectromechanical systems using Loewner equation
Edgar Marcelino, Thiago A. de Assis, Caio M. C. de Castilho +1
The Loewner equation (LE) is used to obtain conformal mappings that lead to exact and analytical expressions for several electrostatic properties of realistic quasi-unidimensional…
Interplay between morphological and shielding effects in field emission via Schwarz-Christoffel transformation
Edgar Marcelino, Thiago A. de Assis, Caio M. C. de Castilho
It is well known that sufficiently strong electrostatic fields are able to change the morphology of Large Area Field Emitters (LAFEs). This phenomenon affects the electrostatic int…
Unexpected validity of Schottky's conjecture for two-stage field emitters: a response via Schwarz-Christoffel transformation
Edgar Marcelino, Thiago A. de Assis, Caio M. C. de Castilho
The electric field in the vicinity of the top of an emitter with a profile consisting of a triangular protrusion on an infinite line is analytically obtained when this system is un…
Massless Dirac-like fermions under external fields: a nonminimal coupling approach
E. Marcelino, E. S. Santos, R. Rivelino
We investigate the unusual properties of quasirelativistic massless fermions under a magnetic or electric field by means of nonminimal couplings. Within this approach, the spin-orb…
First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba system
Edgar Marcelino
This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled…
Virial coefficients for Bose and Fermi trapped gases beyond the unitary limit: an S-Matrix approach
E. Marcelino, A. Nicolai, I. Roditi +1
We study the virial expansion for three-dimensional Bose and Fermi gases at finite temperature using an approximation that only considers two-body processes and is valid for high t…
Quantum Bose and Fermi gases with large negative scattering length in the 2-body S-matrix approximation
Andre LeClair, Edgar Marcelino, Andre Nicolai +1
We study both Bose and Fermi gases at finite temperature and density in an approximation that sums an infinite number of many body processes that are reducible to 2-body scattering…