Microscopic verification of topological electron-vortex binding in the lowest Landau-level crystal state.
When two-dimensional electrons are subjected to a very strong magnetic field, they are believed to form a triangular crystal. By a direct comparison with the exact wave function, we demonstrate that this crystal is not a simple Hartree-Fock crystal of electrons but an inherently quantum mechanical crystal characterized by a nonperturbative binding of quantized vortices to electrons. It is suggested that this has qualitative consequences for experiment.
Chang
Chia-Chen
CC
Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, PA 16802, USA.
Jeon
Gun Sang
GS
Jain
Jainendra K
JK