Local incompressibility of fractional quantum Hall states at a filling factor of 3/2

Кулик, Л. В.; Kuznetsov, V. A.; Журавлев, А. С.; Umansky, V.; Кукушкин, И. В.

doi:10.1103/physrevresearch.2.033123

Cited by 7 publications

(3 citation statements)

References 30 publications

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“…The lifetime of spin excitons is just too short as they relax to the ground state in times on the order of 100 ns or less 28 . However, to form a macroscopic quasi-equilibrium ensemble of neutral excitations with densities at the level of 1–10 percent of the number of equilibrium electrons (the signal that can be detected against the background photoluminescence from the filled-in equilibrium lowest spin sublevel of the zero Landau level), the characteristic lifetime of excitations should reach the values of 10 μs or more 21 , 32 .…”

Section: Methodsmentioning

confidence: 99%

Laughlin anyon complexes with Bose properties

et al. 2021

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Two-dimensional electron systems in a quantizing magnetic field are regarded as of exceptional interest, considering the possible role of anyons—quasiparticles with non-boson and non-fermion statistics—in applied physics. To this day, essentially none but the fractional states of the quantum Hall effect (FQHE) have been experimentally realized as a system with anyonic statistics. In determining the thermodynamic properties of anyon matter, it is crucial to gain insight into the physics of its neutral excitations. We form a macroscopic quasi-equilibrium ensemble of neutral excitations - spin one anyon complexes in the Laughlin state ν = 1/3, experimentally, where ν is the electron filling factor. The ensemble is found to have such a long lifetime that it can be considered the new state of anyon matter. The properties of this state are investigated by optical techniques to reveal its Bose properties.

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Section: Methodsmentioning

confidence: 99%

Laughlin anyon complexes with Bose properties

et al. 2021

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“…13,25) Further study is required to understand the role of spin freedom. 35) Tunneling experiments through the constriction [22][23][24][25] and resistively-detected nuclear-magnetic resonance 21,36,37) can help clarify the detailed characteristics of the ν QPC = 3/2 state.…”

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Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact

Hayafuchi

Konno

Noorhidayati

et al. 2022

Appl. Phys. Express

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The even-denominator states have attracted considerable attention owing to their possible applications in future quantum technologies. In this letter, we first report a 3/2 diagonal resistance, indicating the existence of a 3/2 state in a nanometer-sized triple-gated quantum point contact (QPC) fabricated on a high-mobility (not ultra-high-mobility) single-layer two-dimensional (2D) GaAs wafer. The center gate plays a crucial role in realizing the QPC’s 3/2 state. Our observation of the 3/2 state using a conventional QPC device, which is a suitable building block for semiconductor quantum devices, paves a new path for the development of semiconductor-based quantum technologies.

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“…The lifetime of spin excitons is just too short as they relax to the ground state in times on the order of 100 ns or less 31 . However, to form of a macroscopic quasi-equilibrium ensemble of neutral excitations with densities at the level of 1-10 percent of the number of equilibrium electrons (the signal that can be detected against the background photoluminescence from the lled in equilibrium lowest spin sublevel of the zero Landau level), the characteristic lifetime of excitations should reach the values of 10 μs or more 20,32 .…”

Section: Methodsmentioning

confidence: 99%

Laughlin anyon complexes with Bose properties

Kulik

Журавлев

Musina

et al. 2021

Preprint

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Two-dimensional electron systems in a quantizing magnetic field are regarded as of exceptional interest, considering the possible role of anyons – quasiparticles with non-boson and non-fermion statistics – in applied physics. To this day, essentially none but the fractional states of the quantum Hall effect (FQHE) have been experimentally realized as a system with anyonic statistics. In determining the thermodynamic properties of anyon matter, it is crucial to gain insight into the physics of its neutral excitations. Such excitations can be either neutral complexes of several anyons, or “vortex-antivortex” pairs in anyon density, or compositions of an integer number of magnetic flux quanta and electron complexes having fermionic or bosonic statistics. The very abundance of the possible theoretical descriptions of neutral excitations in the anyon matter evidence that they have not been given much consideration in experimental physics so far. We form a macroscopic quasi-equilibrium ensemble of neutral excitations - spin one anyon complexes in the Laughlin state ν = 1/3, experimentally, where ν is the electron filling factor. The ensemble is found to have such a long lifetime that it can be considered the new state of anyon matter. The properties of this state are investigated by optical techniques to reveal its Bose properties.

show abstract

Local incompressibility of fractional quantum Hall states at a filling factor of 3/2

Cited by 7 publications

References 30 publications

Laughlin anyon complexes with Bose properties

Laughlin anyon complexes with Bose properties

Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact

Laughlin anyon complexes with Bose properties

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