On geometry-dependent vortex stability and topological spin excitations on curved surfaces with cylindrical symmetry

VL Carvalho-Santos, FA Apolonio, NM Oliveira-Neto - Physics Letters A, 2013 - Elsevier
We study the Heisenberg model on cylindrically symmetric curved surfaces. Two kinds of
excitations are considered. The first is given by the isotropic regime, yielding the sine …

Coupling between magnetic field and curvature in Heisenberg spins on surfaces with rotational symmetry

VL Carvalho-Santos, R Dandoloff - Physics Letters A, 2012 - Elsevier
We study the nonlinear σ-model in an external magnetic field applied on curved surfaces
with rotational symmetry. The Euler–Lagrange equations derived from the Hamiltonian yield …

Heisenberg spins on a bilayer connected by a neck and other geometries with a characteristic length scale

R Dandoloff, A Saxena - Journal of Physics A: Mathematical and …, 2010 - iopscience.iop.org
We obtain a half-skyrmion solution in the orientation of Heisenberg spins on a neck joining
two planes with a semi-circular region. In addition, we consider several geometries …

Electron on a cylinder with topological defects in a homogeneous magnetic field

C Filgueiras, BF de Oliveira - Annalen der Physik, 2011 - Wiley Online Library
In this work we study the effects of the geometry and topology of a cylinder on the energy
levels of an electron moving in a homogeneous magnetic field. We consider the existence of …

Topological spin excitations induced by an external magnetic field coupled to a surface with rotational symmetry

VL Carvalho-Santos, R Dandoloff - Brazilian Journal of Physics, 2013 - Springer
We study the Heisenberg model in an external magnetic field on curved surfaces with
rotational symmetry. The Euler–Lagrange static equations, derived from the Hamiltonian …

[HTML][HTML] Sobre a conexão entre alguns modelos físicos não-lineares

DX Andrade, PHR Anjos, PEG Assis - Revista Brasileira de Ensino de …, 2016 - SciELO Brasil
Neste trabalho revisamos alguns dos sistemas não-lineares mais paradigmáticos e
desvendamos algumas das suas surpreendentes interligações. Os problemas de interesse …