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

G. J. Sreejith, Yuhe Zhang, J. K. Jain

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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 fully spin polarized 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.

Original languageEnglish (US)
Article number125149
JournalPhysical Review B
Volume96
Issue number12
DOIs
StatePublished - Sep 25 2017

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Fermions
fermions
composite materials
Composite materials
Liquids
symmetry
liquids
Wave functions
Ground state
Byproducts
Physics
interactions
approximation
emerging
wave functions
physics
ground state
energy
excitation

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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Surprising robustness of particle-hole symmetry for composite-fermion liquids. / Sreejith, G. J.; Zhang, Yuhe; Jain, J. K.

In: Physical Review B, Vol. 96, No. 12, 125149, 25.09.2017.

Research output: Contribution to journalArticle

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AB - 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 fully spin polarized 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.

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