Laughlin state on stretched and squeezed cylinders and edge excitations in the quantum Hall effect
Laughlin state on stretched and squeezed cylinders and edge excitations in the quantum Hall effect
We study the Laughlin wave function on the cylinder. We find it only describes an incompressible fluid when the two lengths of the cylinder are comparable. As the radius is made smaller at fixed area, we observe a continuous transition to the charge density wave Tao-Thouless state. We also present …