3 papers
nlin.PS2025
Solitons with Self-induced Topological Nonreciprocity
Pedro Fittipaldi de Castro, Wladimir Alejandro Benalcazar
The nonlinear Schrodinger equation supports solitons -- self-interacting, localized states that behave as nearly independent objects. We exhibit solitons with self-induced nonrecip…
cond-mat.mes-hall2025
Higher-order Topological Knots and the classification of non-Hermitian lattices under symmetry
Yifan Wang, Wladimir A. Benalcazar
In two dimensions, Hermitian lattices with non-zero Chern numbers and non-Hermitian lattices with a higher-order skin effect (HOSE) bypass the constraints of the Nielsen-Ninomiya n…
cond-mat.mes-hall2025
Nonlinear breathers with crystalline symmetries
Frank Schindler, Vir B. Bulchandani, Wladimir A. Benalcazar
Nonlinear lattice models can support "discrete breather" excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models a…