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

Journal Article · · Physical Review B
 [1];  [2];  [2]
  1. Indian Institute of Science Education and Research, Pune (India); Penn State University
  2. Pennsylvania State Univ., University Park, PA (United States)
+ Show Author Affiliations
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.
Research Organization:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
SC0005042
OSTI ID:
1489114
Alternate ID(s):
OSTI ID: 1394708
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 12 Vol. 96; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (3)

Emergence of Jack ground states from two-body pseudopotentials in fractional quantum Hall systems journal June 2018
Fractional Quantum Hall Effect at ν = 2 + 6 / 13 : The Parton Paradigm for the Second Landau Level journal November 2018
Emergence of Jack ground states from two-body pseudopotentials in fractional quantum Hall systems text January 2018

Figures / Tables (6)

FIG. 1.(p. 3)figure FIG. 1.
FIG. 2.(p. 3)figure FIG. 2.
FIG. 3.(p. 4)figure FIG. 3.
FIG. 4.(p. 4)figure FIG. 4.
FIG. 5.(p. 5)figure FIG. 5.
FIG. 6.(p. 5)figure FIG. 6.

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
composite fermions
emergent symmetry
fractional quantum Hall effect