학술논문
Symmetry Breaking in Laughlin’s State on a Cylinder.
Document Type
Article
Author
Source
Subject
*HALL effect
*ELECTRIC currents
*LANDAU levels
*ENERGY levels (Quantum mechanics)
*QUANTUM theory
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Language
ISSN
0010-3616
Abstract
We investigate Laughlin’s fractional quantum Hall effect wave function on a cylinder. We show that it displays translational symmetry breaking in the axial direction for sufficiently thin cylinders. At filling factor 1/ p, the period is p times the period of the filled lowest Landau level. The proof uses a connection with one-dimensional polymer systems and discrete renewal equations. [ABSTRACT FROM AUTHOR]