Theory of directed localization in one dimension
P. W. Brouwer, P. G. Silvestrov, C. W. J. Beenakker
Abstract
We present an analytical solution of the delocalization transition that is induced by an imaginary vector potential in a disordered chain [N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996), cond-mat/9603165]. We compute the relation between the real and imaginary parts of the energy in the thermodynamic limit, as well as finite-size effects. The results are in good agreement with numerical simulations for weak disorder (mean free path large compared to the wavelength).
Create a lesson
Related papers
Probing the wave-vector gap in nanoscale magnonics
Ondřej Wojewoda, Samer Kurdi, Toeno van der Sar et al.
Approaching Irrational Quantization
Zhihong Wu, Zhimou Chen, Siyuan Zhang et al.
A Solvable Model in the Half-filled Landau Level
Anders Karlhede
Microscopic foundation for orbitronics: orbital exchange interactions, orbital-dependent transport, and orbital switching
Hantao Zhang, Ran Cheng
Valley-resolved high harmonics probe symmetry breaking beyond the Dirac cone
Pablo Pais, Alfredo Iorio, Marcelo F. Ciappina
Magnon Klein paradox
D. Wang