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Life and Death near a Windy Oasis
Karin A. Dahmen, David R. Nelson, Nadav M. Shnerb
We propose a simple experiment to study delocalization and extinction in inhomogeneous biological systems. The nonlinear steady state for, say, a bacteria colony living on and near…
Vortex Pinning and the Non-Hermitian Mott Transition
Raphael A. Lehrer, David R. Nelson
The boson Hubbard model has been extensively studied as a model of the zero temperature superfluid/insulator transition in Helium-4 on periodic substrates. It can also serve as a m…
Non-Hermitian Delocalization and Eigenfunctions
Naomichi Hatano, David R. Nelson
Recent literature on delocalization in non-Hermitian systems has stressed criteria based on sensitivity of eigenvalues to boundary conditions and the existence of a non-zero curren…
Winding Numbers, Complex Currents, and Non-Hermitian Localization
Nadav M. Shnerb, David R. Nelson
The nature of extended states in disordered tight binding models with a constant imaginary vector potential is explored. Such models, relevant to vortex physics in superconductors…