Fermionic and bosonic Laughlin state on thick cylinders
نویسندگان
چکیده
منابع مشابه
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 some exact properties of the wave function in its polynomial form. We then study the edge excitati...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2012
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4768250