Piezo-electric fields and state-filling photo-luminescence in natural InP/GaInP2 Wigner molecule structures

Mintairov, A. M.; Ankundinov, A. V.; Kalyuzhnyy, N. A.; Lebedev, D. V.; Mintairov, S. A.; Pavlov, Nikolay; Galimov, A. I.; Rakhlin, M. V.; Salii, R. A.; Торопов, А. А.; Vlasov, A. S.; Barettin, Daniele; Maur, Matthias Auf der; Blundell, S. A.

doi:10.1063/5.0045925

Cited by 6 publications

(6 citation statements)

References 33 publications

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“…4 e. In the device RF SETs acting simultaneously and utilizing a single RF line by means of carrier multiplexing 52 will be used to detect "charge triangulation". Each of the devices is biased at the slope of SET transfer characteristic and employs charge cancellation technique 53 to minimize effects of direct capacitive coupling to the pulsing gate. In this way signals obtained from SETs ( U s i ) under variation of r s or injection/removing of the electrons by the gate voltage ( U G ), i.e., U s i ( U G )-functions, will be used for designing of topological quantum computing processing.…”

Section: Experimental Details and Datamentioning

confidence: 99%

Nano-photoluminescence of natural anyon molecules and topological quantum computation

Mintairov

Lebedev

Vlasov

et al. 2021

Sci Rep

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The proposal of fault-tolerant quantum computations, which promise to dramatically improve the operation of quantum computers and to accelerate the development of the compact hardware for them, is based on topological quantum field theories, which rely on the existence in Nature of physical systems described by a Lagrangian containing a non-Abelian (NA) topological term. These are solid-state systems having two-dimensional electrons, which are coupled to magnetic-flux-quanta vortexes, forming complex particles, known as anyons. Topological quantum computing (TQC) operations thus represent a physical realization of the mathematical operations involving NA representations of a braid group Bn, generated by a set of n localized anyons, which can be braided and fused using a “tweezer” and controlled by a detector. For most of the potential TQC material systems known so far, which are 2D-electron–gas semiconductor structure at high magnetic field and a variety of hybrid superconductor/topological-material heterostructures, the realization of anyon localization versus tweezing and detecting meets serious obstacles, chief among which are the necessity of using current control, i.e., mobile particles, of the TQC operations and high density electron puddles (containing thousands of electrons) to generate a single vortex. Here we demonstrate a novel system, in which these obstacles can be overcome, and in which vortexes are generated by a single electron. This is a ~ 150 nm size many electron InP/GaInP2 self-organized quantum dot, in which molecules, consisting of a few localized anyons, are naturally formed and exist at zero external magnetic field. We used high-spatial-resolution scanning magneto-photoluminescence spectroscopy measurements of a set of the dots having five and six electrons, together with many-body quantum mechanical calculations to demonstrate spontaneous formation of the anyon magneto-electron particles (eν) having fractional charge ν = n/k, where n = 1–4 and k = 3–15 are the number of electrons and vortexes, respectively, arranged in molecular structures having a built-in (internal) magnetic field of 6–12 T. Using direct imaging of the molecular configurations we observed fusion and braiding of eν-anyons under photo-excitation and revealed the possibility of using charge sensing for their control. Our investigations show that InP/GaInP2 anyon-molecule QDs, which have intrinsic transformations of localized eν-anyons compatible with TQC operations and capable of being probed by charge sensing, are very promising for the realization of TQC.

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Section: Experimental Details and Datamentioning

confidence: 99%

Nano-photoluminescence of natural anyon molecules and topological quantum computation

Mintairov

Lebedev

Vlasov

et al. 2021

Sci Rep

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“…Their shape reveals a small elongation and asymmetry, which in most cases can be described as a combination of a ∼5% elliptical distortion ( D ‖ / D ⊥ = 1.05) and a 10% change of R ⊥ . The specific structural property of this QD system [ 35 ] is an atomic ordering of the GaInP 2 matrix material, which results in composite core-shell structure consisting of InP QD having zinc blende crystal structure surrounded by a few atomically ordered GaInP 2 domains having rhombohedral crystal structure and size 10-50 nm. In this composite, the domains generate strong piezo-electric fields resulting in e doping (up to 20) and B ν (up to 15 T) forming natural quantum Hall puddles.…”

Section: Methodsmentioning

confidence: 99%

“…Circular symmetric FD states (FDSs) 00 -, 01 , 10- , 02 -, 11 -, 20-, and so on correspond to 2D atomic-like states 1 s -, 1 p x -, 1 p y -, 1 d x -, 1 d y -, 2 s -, and so on. We also analyzed SPSs accounting for the atomic crystal structure of InP/GaInP 2 dots using the 8-band

method [ 35 ]. In Figure A1 d we show the probability density distributions of the 1 s , 1 p x , and 1 p y states calculated for a circular dot having size 100 nm.…”

Section: Appendix A1 General Modelmentioning

confidence: 99%

Majorana Anyon Composites in Magneto-Photoluminescence Spectra of Natural Quantum Hall Puddles

et al. 2022

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In magneto-photoluminescence (magneto-PL) spectra of quasi two-dimensional islands (quantum dots) having seven electrons and Wigner–Seitz radius rs~1.5, we revealed a suppression of magnetic field (B) dispersion, paramagnetic shifts, and jumps of the energy of the emission components for filling factors ν > 1 (B < 10 T). Additionally, we observed B-hysteresis of the jumps and a dependence of all these anomalous features on rs. Using a theoretical description of the magneto-PL spectra and an analysis of the electronic structure of these dots based on the single-particle Fock–Darwin spectrum and many-particle configuration-interaction calculations, we show that these observations can be described by the rs-dependent formation of the anyon (magneto-electron) composites (ACs) involving single-particle states having non-zero angular momentum and that the anyon states observed involve Majorana modes (MMs), including zero-B modes having an equal number of vortexes and anti-vortexes, which can be considered as Majorana anyons. We show that the paramagnetic shift corresponds to a destruction of the equilibrium self-formed ν~5/2 AC by the external magnetic field and that the jumps and their hysteresis can be described in terms of Majorana qubit states controlled by B and rs. Our results show a critical role of quantum confinement in the formation of magneto-electrons and implies the liquid-crystal nature of fractional quantum Hall effect states, the Majorana anyon origin of the states having even ν, i.e., composite fermions, which provide new opportunities for topological quantum computing.

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“…Their shape reveals a small elongation and asymmetry, which in most cases can be described as a combination of a ∼5% elliptical distortion (D/D⊥=1.05) and a 10% change of R⊥. The specific structural property of this QD system is an atomic ordering of the GaInP2 matrix material, which results in composite core-shell structure consisting of InP QD having zinc blende crystal structure surrounded by a few atomically ordered GaInP2 domains having rhombohedral crystal structure and size 10-50 nm [35]; in this composite the domains generate strong piezo-electric fields [36] resulting in e doping (up to 20) and B (up to 15 T) forming natural quantum Hall puddles.…”

Section: Natural Quantum Hall Puddlesmentioning

confidence: 99%

“…Circular symmetric FD states (FDSs) 00-, 01, 10-, 02-, 11-, 20-and so on correspond to 2D atomic-like states 1s-, 1px-, 1py-, 1dx-, 1dy-, 2s-and so on. We also analyzed SPSs accounting for the atomic crystal structure of InP/GaInP2 dots using the 8-band kp method [36]. In Figure A1d we show the probability density distributions of the 1s, 1px, and 1py states calculated for a circular dot having size 100 nm.…”

Section: A2 Single-particle States Of Confined Electronsmentioning

confidence: 99%

Majorana Anyon Composites in Magneto-Photoluminescence Spectra of Natural Quantum Hall Puddles

Mintairov¹,

Lebedev²,

Vlasov³

et al. 2022

Preprint

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In magneto-photoluminescence (magneto-PL) spectra of quasi-two dimensional islands (quantum dots) having seven electrons and Wigner-Seitz radius rs~1.5, we revealed a suppression of magnetic field (B) dispersion, paramagnetic shifts and jumps of the energy of the emission components for filling factors &gt;1 (B&lt;10 T). Additionally, we observed B-hysteresis of the jumps and a dependence of all these anomalous features on rs. Using a theoretical description of the magneto-PL spectra and an analysis of the electronic structure of these dots based on the single-particle Fock-Darwin spectrum and many-particle configuration-interaction calculations, we show that these observations can be described by the rs-dependent formation of the anyon (magneto-electron) composites (ACs) involving single-particle states having non-zero angular momentum and that the anyon states observed involve Majorana modes (MMs), including zero-B modes having equal number of vortexes and anti-vortexes, which can be considered as Majorana anyons. We show that the paramagnetic shift corresponds to a destruction of the equilibrium self-formed ~5/2 AC by the external magnetic field and that the jumps and their hysteresis can be described in terms of Majorana qubit states controlled by B and rs. Our results show a critical role of quantum confinement in the formation of magneto-electrons and implies the liquid-crystal nature of fractional quantum Hall effect states, Majorana anyon origin of the states having even , i.e., composite fermions, which provide new opportunities for topological quantum computing.

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Piezo-electric fields and state-filling photo-luminescence in natural InP/GaInP2 Wigner molecule structures

Cited by 6 publications

References 33 publications

Nano-photoluminescence of natural anyon molecules and topological quantum computation

Nano-photoluminescence of natural anyon molecules and topological quantum computation

Majorana Anyon Composites in Magneto-Photoluminescence Spectra of Natural Quantum Hall Puddles

Majorana Anyon Composites in Magneto-Photoluminescence Spectra of Natural Quantum Hall Puddles

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