TY - JOUR
T1 - Laughlin's function on a cylinder
T2 - Plasma analogy and representation as a quantum polymer
AU - Jansen, Sabine
AU - Lieb, Elliott H.
AU - Seiler, Ruedi
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/2
Y1 - 2008/2
N2 - We investigate Laughlin's fractional quantum Hall effect wave function in the cylinder geometry of Laughlin's integer quantum Hall effect argument, at filling factor 1/3. We show that the plasma analogy leads to a periodic density, and that the wave function admits a representation as a "quantum polymer", reminiscent of the quantum dimer model by Rokhsar and Kivelson. We explain how the representation can be exploited to compute the normalization and one-particle density in the limit of infinitely many particles.
AB - We investigate Laughlin's fractional quantum Hall effect wave function in the cylinder geometry of Laughlin's integer quantum Hall effect argument, at filling factor 1/3. We show that the plasma analogy leads to a periodic density, and that the wave function admits a representation as a "quantum polymer", reminiscent of the quantum dimer model by Rokhsar and Kivelson. We explain how the representation can be exploited to compute the normalization and one-particle density in the limit of infinitely many particles.
UR - http://www.scopus.com/inward/record.url?scp=55549120896&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=55549120896&partnerID=8YFLogxK
U2 - 10.1002/pssb.200743516
DO - 10.1002/pssb.200743516
M3 - Review article
AN - SCOPUS:55549120896
VL - 245
SP - 439
EP - 446
JO - Physica Status Solidi (B): Basic Research
JF - Physica Status Solidi (B): Basic Research
SN - 0370-1972
IS - 2
ER -