High-Velocity and Quantam Hall Regime

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 67)


When the velocity gets large, the size of the condensate and the number of vortices increase: a dense lattice is observed [1, 47, 58, 141], referred to as an Abrikosov lattice due to the analogy with superconductors. The description of the vortex lattice at high rotational velocity has been the focus of very recent papers of HO [79] and very recently by [64, 27, 49, 154, 147]. Our aim is to provide mathematical insight into the lattice pattern.


Wave Function Holomorphic Function Hexagonal Lattice Triangular Lattice Distorted Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2006

Personalised recommendations