Research Article
Bunching and Antibunching of Quasiparticles in the Fractional Quantum Hall Effect
Eugene Alexandrovich Krasnopevtsev*
Issue:
Volume 15, Issue 4, August 2026
Pages:
115-121
Received:
29 June 2026
Accepted:
10 July 2026
Published:
10 August 2026
Abstract: The transformation of a two-dimensional electron gas in a semiconductor into a quasiparticle gas at low temperature in a strong magnetic field is considered using the quantum fractional Hall effect. Statistical interference effects—bunching and antibunching of quasiparticles—are studied. The dispersion of the number of quasiparticles in a single state and the correlation between the number of quasiparticles in subsystems are detected, and the quasiparticle bunching coefficient is investigated. The correlation increases with decreasing Landau level filling factor, which is determined by the electron concentration. As the filling factor decreases, the bunching coefficient increases at quasiparticle energies exceeding the chemical potential of the gas. When the Landau level filling factor changes from one to zero, the quasiparticles transform from initial fermions (electrons), obeying the Pauli principle, to bosons, which experience mutual interference attraction and maximum bunching. According to the fractional quantum Hall effect, the Landau level filling factor determines the effective charge of a quasiparticle and the effective magnitude of the external magnetic field. In the bosonic state, a gas of quasiparticles has zero effective charge, zero effective external magnetic field and maximum bunching. Therefore, an external electromagnetic field has no effect on the quasiparticle levels, with the exception of the ground state, and does not cause transitions between them in the form of emission, absorption, or reflection of light. Applied to the electron model of the Universe, it can be assumed that Dark Matter is a gas of Hall quasiparticles formed by ordinary electrons in the bosonic state at ultra-low temperatures. The electron model of the Universe can be studied experimentally.
Abstract: The transformation of a two-dimensional electron gas in a semiconductor into a quasiparticle gas at low temperature in a strong magnetic field is considered using the quantum fractional Hall effect. Statistical interference effects—bunching and antibunching of quasiparticles—are studied. The dispersion of the number of quasiparticles in a single st...
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Research Article
Magnetocaloric Effect and Magnetic Properties of Exciton Polaron in Monolayers Transition Metal Dichalcogenides Quantum Well
Edmond Ledoux Mbieda Posseu,
Jean Valere Nguepnang*,
Clautaire Mwebi Ekengoue,
Arthur Kitio Teguimfouet,
Gervi Mouketo Moussavou,
Christian Kenfack-Sadem,
Lukong Cornelius Fai
Issue:
Volume 15, Issue 4, August 2026
Pages:
122-139
Received:
16 July 2026
Accepted:
28 July 2026
Published:
2 September 2026
DOI:
10.11648/j.ajmp.20261504.12
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Abstract: The magnetocaloric Effect (MCE) and magnetic properties of exciton-polaron in transition metal dichalcogenides quantum well was investigated. Using the Lee Low Pines method and an approximate diagonalization of exciton-phonon operators is achieved to investigate the ground and first excited states energies. Moreover, the partition function has been calculated using the grand canonical ensemble. Then, the entropy change well known as MCE, the magnetic susceptibility and the magnetization have been derived. Our results reveal that there is competition between thermal, magnetic field and quantum well contribution on the MCE, the magnetization and magnetic susceptibility. Dependent of the range of those parameters, this competition can exhibit interesting behavior such as high conventional magnetocaloric effect and local paramagnetism. We also found that magnetic field significantly affect the magnetic moment alignment and yield to statistical redistribution and reorganization of different states, moreover magnetic field drastically reduces disorder in the system. Likewise, results demonstrated that transition metal dichalcogenide materials offer several advantages such as magnetic stability, energetic robustness, gradual thermal control, predictable response, and a magnetocaloric effect exploitable over a wide temperature range due to its robustness and strong confinement. Tungsten disulfide (WS2) material is more robust and sensitive whereas molybdenum diselenide (MoSe2) material is more stable. The results obtained in this study can be used on sensitive thermomagnetic sensors, refrigerators and in data storage.
Abstract: The magnetocaloric Effect (MCE) and magnetic properties of exciton-polaron in transition metal dichalcogenides quantum well was investigated. Using the Lee Low Pines method and an approximate diagonalization of exciton-phonon operators is achieved to investigate the ground and first excited states energies. Moreover, the partition function has been...
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