Symmetry breaking in Laughlin's state on a cylinder

S. Jansen; E. H. Lieb; R. Seiler

doi:10.1007/s00220-008-0576-4

Symmetry breaking in Laughlin's state on a cylinder

S. Jansen, E. H. Lieb, R. Seiler

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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.

Original language	English (US)
Pages (from-to)	503-535
Number of pages	33
Journal	Communications In Mathematical Physics
Volume	285
Issue number	2
DOIs	https://doi.org/10.1007/s00220-008-0576-4
State	Published - Jan 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Symmetry breaking in Laughlin's state on a cylinder",

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.",

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T1 - Symmetry breaking in Laughlin's state on a cylinder

AU - Jansen, S.

AU - Lieb, E. H.

AU - Seiler, R.

PY - 2009/1

Y1 - 2009/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/56349102139

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U2 - 10.1007/s00220-008-0576-4

DO - 10.1007/s00220-008-0576-4

M3 - Article

AN - SCOPUS:56349102139

SN - 0010-3616

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SP - 503

EP - 535

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 2

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Symmetry breaking in Laughlin's state on a cylinder

Abstract

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