Competition between composite-fermion-crystal and liquid orders at ν=1 5

Chia Chen Chang, Csaba Töke, Gun Sang Jeon, Jainendra K. Jain

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We show that for electrons on a two-dimensional plane exposed to a strong magnetic field, the state at filling factor ν=1 5 is better described as a composite-fermion crystal than as a Laughlin liquid for small systems, but the latter prevails for systems containing more than ten particles. A variational combination of the two wave functions provides an extremely accurate wave function for small systems. This indicates that the ν=1 5 fractional quantum Hall liquid is highly susceptible to formation of composite-fermion crystallites in it. Experimental implications are considered.

Original languageEnglish (US)
Article number155323
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number15
DOIs
StatePublished - May 11 2006

Fingerprint

Liquid Crystals
Fermions
Wave functions
fermions
wave functions
Crystals
composite materials
Composite materials
Liquids
liquids
Crystallites
crystallites
crystals
Magnetic fields
Electrons
magnetic fields
electrons

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

@article{3bc2b6cb07d44b568740d209512a182a,
title = "Competition between composite-fermion-crystal and liquid orders at ν=1 5",
abstract = "We show that for electrons on a two-dimensional plane exposed to a strong magnetic field, the state at filling factor ν=1 5 is better described as a composite-fermion crystal than as a Laughlin liquid for small systems, but the latter prevails for systems containing more than ten particles. A variational combination of the two wave functions provides an extremely accurate wave function for small systems. This indicates that the ν=1 5 fractional quantum Hall liquid is highly susceptible to formation of composite-fermion crystallites in it. Experimental implications are considered.",
author = "Chang, {Chia Chen} and Csaba T{\"o}ke and Jeon, {Gun Sang} and Jain, {Jainendra K.}",
year = "2006",
month = "5",
day = "11",
doi = "10.1103/PhysRevB.73.155323",
language = "English (US)",
volume = "73",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "15",

}

Competition between composite-fermion-crystal and liquid orders at ν=1 5. / Chang, Chia Chen; Töke, Csaba; Jeon, Gun Sang; Jain, Jainendra K.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 73, No. 15, 155323, 11.05.2006.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Competition between composite-fermion-crystal and liquid orders at ν=1 5

AU - Chang, Chia Chen

AU - Töke, Csaba

AU - Jeon, Gun Sang

AU - Jain, Jainendra K.

PY - 2006/5/11

Y1 - 2006/5/11

N2 - We show that for electrons on a two-dimensional plane exposed to a strong magnetic field, the state at filling factor ν=1 5 is better described as a composite-fermion crystal than as a Laughlin liquid for small systems, but the latter prevails for systems containing more than ten particles. A variational combination of the two wave functions provides an extremely accurate wave function for small systems. This indicates that the ν=1 5 fractional quantum Hall liquid is highly susceptible to formation of composite-fermion crystallites in it. Experimental implications are considered.

AB - We show that for electrons on a two-dimensional plane exposed to a strong magnetic field, the state at filling factor ν=1 5 is better described as a composite-fermion crystal than as a Laughlin liquid for small systems, but the latter prevails for systems containing more than ten particles. A variational combination of the two wave functions provides an extremely accurate wave function for small systems. This indicates that the ν=1 5 fractional quantum Hall liquid is highly susceptible to formation of composite-fermion crystallites in it. Experimental implications are considered.

UR - http://www.scopus.com/inward/record.url?scp=33646355444&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646355444&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.73.155323

DO - 10.1103/PhysRevB.73.155323

M3 - Article

AN - SCOPUS:33646355444

VL - 73

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 15

M1 - 155323

ER -