Electron operator at the edge of the 13 fractional quantum Hall liquid

Shivakumar Jolad, Chia Chen Chang, Jainendra K. Jain

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This study builds upon the work of Palacios and MacDonald [Phys. Rev. Lett. 76, 118 (1996)], wherein they identify the bosonic excitations of Wen's approach for the edge of the 13 fractional quantum Hall state with certain operators introduced by Stone. Using a quantum Monte Carlo method, we extend this approach to larger systems containing up to 40 electrons and obtain more accurate thermodynamic limits for various matrix elements for a short-range interaction. The results are in agreement with those of Palacios and MacDonald for small systems, but offer further insight into a detailed approach to the thermodynamic limit. For the short range interaction, the results are consistent with chiral Luttinger liquid predictions. We also study excitations using the Coulomb ground state for up to nine electrons to ascertain the effect of interactions on the results; in this case, our tests of the chiral Luttinger liquid approach are inconclusive.

Original languageEnglish (US)
Article number165306
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number16
DOIs
StatePublished - Apr 9 2007

Fingerprint

Thermodynamics
operators
Electrons
Liquids
liquids
Ground state
Mathematical operators
thermodynamics
Monte Carlo methods
electrons
interactions
excitation
Monte Carlo method
rocks
ground state
matrices
predictions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

@article{58811fd16ad44799aad2e5f321ba5611,
title = "Electron operator at the edge of the 13 fractional quantum Hall liquid",
abstract = "This study builds upon the work of Palacios and MacDonald [Phys. Rev. Lett. 76, 118 (1996)], wherein they identify the bosonic excitations of Wen's approach for the edge of the 13 fractional quantum Hall state with certain operators introduced by Stone. Using a quantum Monte Carlo method, we extend this approach to larger systems containing up to 40 electrons and obtain more accurate thermodynamic limits for various matrix elements for a short-range interaction. The results are in agreement with those of Palacios and MacDonald for small systems, but offer further insight into a detailed approach to the thermodynamic limit. For the short range interaction, the results are consistent with chiral Luttinger liquid predictions. We also study excitations using the Coulomb ground state for up to nine electrons to ascertain the effect of interactions on the results; in this case, our tests of the chiral Luttinger liquid approach are inconclusive.",
author = "Shivakumar Jolad and Chang, {Chia Chen} and Jain, {Jainendra K.}",
year = "2007",
month = "4",
day = "9",
doi = "10.1103/PhysRevB.75.165306",
language = "English (US)",
volume = "75",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "16",

}

Electron operator at the edge of the 13 fractional quantum Hall liquid. / Jolad, Shivakumar; Chang, Chia Chen; Jain, Jainendra K.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 75, No. 16, 165306, 09.04.2007.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Electron operator at the edge of the 13 fractional quantum Hall liquid

AU - Jolad, Shivakumar

AU - Chang, Chia Chen

AU - Jain, Jainendra K.

PY - 2007/4/9

Y1 - 2007/4/9

N2 - This study builds upon the work of Palacios and MacDonald [Phys. Rev. Lett. 76, 118 (1996)], wherein they identify the bosonic excitations of Wen's approach for the edge of the 13 fractional quantum Hall state with certain operators introduced by Stone. Using a quantum Monte Carlo method, we extend this approach to larger systems containing up to 40 electrons and obtain more accurate thermodynamic limits for various matrix elements for a short-range interaction. The results are in agreement with those of Palacios and MacDonald for small systems, but offer further insight into a detailed approach to the thermodynamic limit. For the short range interaction, the results are consistent with chiral Luttinger liquid predictions. We also study excitations using the Coulomb ground state for up to nine electrons to ascertain the effect of interactions on the results; in this case, our tests of the chiral Luttinger liquid approach are inconclusive.

AB - This study builds upon the work of Palacios and MacDonald [Phys. Rev. Lett. 76, 118 (1996)], wherein they identify the bosonic excitations of Wen's approach for the edge of the 13 fractional quantum Hall state with certain operators introduced by Stone. Using a quantum Monte Carlo method, we extend this approach to larger systems containing up to 40 electrons and obtain more accurate thermodynamic limits for various matrix elements for a short-range interaction. The results are in agreement with those of Palacios and MacDonald for small systems, but offer further insight into a detailed approach to the thermodynamic limit. For the short range interaction, the results are consistent with chiral Luttinger liquid predictions. We also study excitations using the Coulomb ground state for up to nine electrons to ascertain the effect of interactions on the results; in this case, our tests of the chiral Luttinger liquid approach are inconclusive.

UR - http://www.scopus.com/inward/record.url?scp=34147189500&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34147189500&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.75.165306

DO - 10.1103/PhysRevB.75.165306

M3 - Article

AN - SCOPUS:34147189500

VL - 75

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 16

M1 - 165306

ER -