Precise Experimental Test of the Luttinger Theorem and Particle-Hole Symmetry for a Strongly Correlated Fermionic System

Hossain, Md. Shafayat; Mueed, M. A.; K., M.; Rosales, K. A. Villegas; Chung, Yoon Jang; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Shayegan, M.

doi:10.1103/physrevlett.125.046601

Cited by 13 publications

(7 citation statements)

References 45 publications

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“…Here we present results for the charge imbalanced s-wave CF/anti-CF pairing trial wavefunctions (see Supplementary Material for a discussion of the p-wave trial wavefunction for the imbalanced case [49]). In our approach, we composite-fermionize the minority carriers in each layer, consistent with the experimental observation that the density of the minority carriers sets the Fermi wavevector away from half-filling [54,55]. We show the overlaps of our trial state with the ED ground state in Fig.…”

Section: Introduction -supporting

confidence: 63%

$s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $ν=1$

Wagner,

Nguyen,

Simon

et al. 2021

Preprint

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We introduce a new variational wavefunction for a quantum Hall bilayer at total filling ν = 1, which is based on s-wave BCS pairing between composite-fermion electrons in one layer and composite-fermion holes in the other. We compute the overlap of the optimized trial function with the ground state from exact diagonalization calculations of up to 14 electrons in a spherical geometry, and we find excellent agreement over the entire range of values of the ratio between the layer separation and the magnetic length. The trial wavefunction naturally allows for charge imbalance between the layers and provides important insights into how the physics at large interlayer separations crosses over to that at small separations in a fashion analogous to the BEC-BCS crossover.

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Section: Introduction -supporting

confidence: 63%

$s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $ν=1$

Wagner,

Nguyen,

Simon

et al. 2021

Preprint

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“…Here, we present results for the charge imbalanced s-wave eCF-hCF pairing trial wave functions (see the Supplemental Material for a discussion of the p-wave trial wave function for the imbalanced case [49]). In our approach, we compositefermionize the minority carriers in each layer, consistent with the experimental observation that the density of the minority carriers sets the Fermi wave vector away from half-filling [58,59]. We show the overlaps of our trial state with the ED ground state in Fig.…”

supporting

confidence: 53%

s -Wave Paired Electron and Hole Composite Fermion Trial State for Quantum Hall Bilayers with ν=1

et al. 2021

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We introduce a new variational wave function for a quantum Hall bilayer at total filling ν T ¼ 1, which is based on s-wave BCS pairing between electron composite fermions in one layer and hole composite fermions in the other. In addition, we reexamine a trial wave function based on p-wave BCS pairing between electron composite fermions in both layers. We compute the overlap of the optimized trial functions with the ground state from exact diagonalization calculations of up to 14 electrons in a spherical geometry, and we find excellent agreement over the entire range of values of the ratio between the layer separation and the magnetic length. The s-wave trial wave function naturally allows for charge imbalance between the layers and provides important insights into how the physics at large interlayer separations crosses over to that at small separations in a fashion analogous to the BEC-BCS crossover.

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“…In Sec. 10.2 we shall discuss one particular experiment, namely the measurement of the CF Fermi wave vector using geometric resonance Willett et al (1999), Kamburov et al (2014), Hossain et al (2020), which has renewed the interest in the CFL state.…”

Section: Gapless Composite Fermion Fermi Liquid In the Half-filled La...mentioning

confidence: 99%

Fractional quantum Hall effect in semiconductor systems

Papić¹,

Balram²

2022

Preprint

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The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems, topology and quantum mechanics conspire to give rise to exotic physics that manifests via robust quantization of the Hall resistance. In this chapter, we provide an overview of the experimental phenomenology of the FQH effect in GaAs-based semiconductor materials and present its theoretical interpretations in terms of trial wave functions, composite fermion quasiparticles, and enigmatic non-Abelian states. We also highlight some recent developments, including the parton theory and the Dirac composite fermion field theory of FQH states, the role of anisotropy and geometrical degrees of freedom, and quantum entanglement in FQH fluids.

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Precise Experimental Test of the Luttinger Theorem and Particle-Hole Symmetry for a Strongly Correlated Fermionic System

Cited by 13 publications

References 45 publications

$s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $ν=1$

$s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $ν=1$

s -Wave Paired Electron and Hole Composite Fermion Trial State for Quantum Hall Bilayers with ν=1

Fractional quantum Hall effect in semiconductor systems

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