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Title: Surprising robustness of particle-hole symmetry for composite-fermion liquids

Abstract

Here, we report on fixed phase diffusion Monte Carlo calculations that show that, even for a large amount of Landau level mixing, the energies of the Pfaffian and anti-Pfaffian phases remain very nearly the same, as also do the excitation gaps at 1/3 and 2/3. These results, combined with previous theoretical and experimental investigations, indicate that particle hole (PH) symmetry for composite fermion states is much more robust than a priori expected, emerging even in models that explicitly break PH symmetry. We provide insight into this fact by showing that the low energy physics of a generic repulsive 3-body interaction is captured, to a large extent and over a range of filling factors, by a mean field approximation that maps it into a PH symmetric 2-body interaction. This explains why Landau level mixing, which effectively generates such a generic 3-body interaction, is inefficient in breaking PH symmetry. As a byproduct, our results provide a systematic construction of a 2-body interaction which produces, to a good approximation, the Pfaffian wave function as its ground state.

Authors:
 [1];  [2];  [2]
+ Show Author Affiliations
  1. Indian Institute of Science Education and Research, Pune (India)
  2. Pennsylvania State Univ., University Park, PA (United States)
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1489114
Alternate Identifier(s):
OSTI ID: 1394708
Grant/Contract Number:  
SC0005042
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; fractional quantum Hall effect; composite fermions; emergent symmetry

Citation Formats

Sreejith, G. J., Zhang, Yuhe, and Jain, J. K. Surprising robustness of particle-hole symmetry for composite-fermion liquids. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.125149.
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Sreejith, G. J., Zhang, Yuhe, & Jain, J. K. Surprising robustness of particle-hole symmetry for composite-fermion liquids. United States. https://doi.org/10.1103/PhysRevB.96.125149
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Sreejith, G. J., Zhang, Yuhe, and Jain, J. K. Mon . "Surprising robustness of particle-hole symmetry for composite-fermion liquids". United States. https://doi.org/10.1103/PhysRevB.96.125149. https://www.osti.gov/servlets/purl/1489114.
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@article{osti_1489114,
title = {Surprising robustness of particle-hole symmetry for composite-fermion liquids},
author = {Sreejith, G. J. and Zhang, Yuhe and Jain, J. K.},
abstractNote = {Here, we report on fixed phase diffusion Monte Carlo calculations that show that, even for a large amount of Landau level mixing, the energies of the Pfaffian and anti-Pfaffian phases remain very nearly the same, as also do the excitation gaps at 1/3 and 2/3. These results, combined with previous theoretical and experimental investigations, indicate that particle hole (PH) symmetry for composite fermion states is much more robust than a priori expected, emerging even in models that explicitly break PH symmetry. We provide insight into this fact by showing that the low energy physics of a generic repulsive 3-body interaction is captured, to a large extent and over a range of filling factors, by a mean field approximation that maps it into a PH symmetric 2-body interaction. This explains why Landau level mixing, which effectively generates such a generic 3-body interaction, is inefficient in breaking PH symmetry. As a byproduct, our results provide a systematic construction of a 2-body interaction which produces, to a good approximation, the Pfaffian wave function as its ground state.},
doi = {10.1103/PhysRevB.96.125149},
journal = {Physical Review B},
number = 12,
volume = 96,
place = {United States},
year = {Mon Sep 25 00:00:00 EDT 2017},
month = {Mon Sep 25 00:00:00 EDT 2017}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.96.125149
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Cited by: 17 works
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Figures / Tables:

FIG. 1. FIG. 1.: (a) The DMC energies for Pfaffian and anti-Pfaffian states at ν = 5/2 as a function of κ for ideal 2D system (w = 0), obtained from extrapolation from systems with up to 32 and 30 particles, respectively. (b) The energies for spin polarized (SP) states at νmore » = 3/2 for w = 0 and quantum wells of width w = 30nm and 50nm (obtained from extrapolation of energies of up to 20 and 18 particles). All energies shown are obtained by extrapolating finite-system results to thermodynamic limit with the error bars indicating the extrapolation errors.« less
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    Emergence of Jack ground states from two-body pseudopotentials in fractional quantum Hall systems
    journal, June 2018

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