Relevant bibliographies by topics / Landau quantization levels

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  2. Dissertations / Theses
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Academic literature on the topic 'Landau quantization levels'

Author: Grafiati
Published: 4 June 2025
Last updated: 15 July 2025

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Journal articles on the topic "Landau quantization levels"

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KLAUDER, J. R., and E. ONOFRI. "LANDAU LEVELS AND GEOMETRIC QUANTIZATION." International Journal of Modern Physics A 04, no. 15 (1989): 3939–49. http://dx.doi.org/10.1142/s0217751x89001606.

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The geometrical approach to phase-space quantization introduced by Klauder [KQ] is interpreted in terms of a universal magnetic field acting on a free particle moving in a higher dimensional configuration space; quantization corresponds to freezing the particle to its first Landau level. The Geometric Quantization [GQ] scheme appears as the natural technique to define the interaction with the magnetic field for a particle on a general Riemannian manifold. The freedom of redefining the operators' ordering makes it possible to select that particular definition of the Hamiltonian which is adapted to a specific polarization; in this way the first Landau level acquires the expected degeneracy. This unification with GQ makes it clear how algebraic relations between classical observables are or are not preserved under quantization. From this point of view all quantum systems appear as the low energy sector of a generalized theory in which all classical observables have a uniquely assigned quantum counterpart such that Poisson bracket relations are isomorphic to the commutation relations.
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Galasso, Andrea, and Mauro Spera. "Remarks on the geometric quantization of Landau levels." International Journal of Geometric Methods in Modern Physics 13, no. 10 (2016): 1650122. http://dx.doi.org/10.1142/s021988781650122x.

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In this note, we resume the geometric quantization approach to the motion of a charged particle on a plane, subject to a constant magnetic field perpendicular to the latter, by showing directly that it gives rise to a completely integrable system to which we may apply holomorphic geometric quantization. In addition, we present a variant employing a suitable vertical polarization and we also make contact with Bott’s quantization, enforcing the property “quantization commutes with reduction”, which is known to hold under quite general conditions. We also provide an interpretation of translational symmetry breaking in terms of coherent states and index theory. Finally, we give a representation theoretic description of the lowest Landau level via the use of an [Formula: see text]-equivariant Dirac operator.
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de Melo, J. Lemos, I. A. Pedrosa, and C. Furtado. "Coherent states of Landau–Aharonov–Casher levels." International Journal of Modern Physics B 30, no. 06 (2016): 1650022. http://dx.doi.org/10.1142/s0217979216500223.

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In this paper, we study the coherent states of Landau–Aharonov–Casher (LAC) levels. These LAC levels are an analogue of the Landau quantization for neutral particles. Afterwards, we investigate some properties of the coherent states, evaluate the uncertainty product and derive the wave functions for our problem. We also discuss the coherent states for the Landau–He–McKellar–Wilkens (LHMW) levels by using the Maxwell duality.
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Gao, Yang, and Qian Niu. "Zero-field magnetic response functions in Landau levels." Proceedings of the National Academy of Sciences 114, no. 28 (2017): 7295–300. http://dx.doi.org/10.1073/pnas.1702595114.

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We present a fresh perspective on the Landau level quantization rule; that is, by successively including zero-field magnetic response functions at zero temperature, such as zero-field magnetization and susceptibility, the Onsager’s rule can be corrected order by order. Such a perspective is further reinterpreted as a quantization of the semiclassical electron density in solids. Our theory not only reproduces Onsager’s rule at zeroth order and the Berry phase and magnetic moment correction at first order but also explains the nature of higher-order corrections in a universal way. In applications, those higher-order corrections are expected to curve the linear relation between the level index and the inverse of the magnetic field, as already observed in experiments. Our theory then provides a way to extract the correct value of Berry phase as well as the magnetic susceptibility at zero temperature from Landau level fan diagrams in experiments. Moreover, it can be used theoretically to calculate Landau levels up to second-order accuracy for realistic models.
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RIBEIRO, L. R., K. BAKKE, and C. FURTADO. "LANDAU QUANTIZATION FOR A NEUTRAL PARTICLE IN THE PRESENCE OF TOPOLOGICAL DEFECTS." International Journal of Modern Physics: Conference Series 18 (January 2012): 101–4. http://dx.doi.org/10.1142/s2010194512008288.

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In this short communication, we study the Landau levels in the non-relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in curved spacetime background with the presence or absence of a torsion field. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels.
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Onorato, P. "Landau levels for relativistic particles: Einstein–Brillouin–Keller quantization approach." Physics Letters A 376, no. 46 (2012): 3525–29. http://dx.doi.org/10.1016/j.physleta.2012.10.007.

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BAKKE, K., and C. FURTADO. "RELATIVISTIC LANDAU–AHARONOV–CASHER QUANTIZATION IN TOPOLOGICAL DEFECT SPACE–TIME." International Journal of Modern Physics D 19, no. 01 (2010): 85–96. http://dx.doi.org/10.1142/s0218271810016221.

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In this paper we study the Landau levels arising within the relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved space–time background with the presence of a torsion field. We use the Aharonov–Casher effect to couple this neutral particle with the electric field in this curved background. The eigenfunction and eigenvalues of the Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the relativistic Landau levels arising in this system. We study the nonrelativistic limit of the eigenvalues and compare these results with cases studied earlier.
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Landry, Alexandre, and Fayçal Hammad. "Landau Levels in a Gravitational Field: The Schwarzschild Spacetime Case." Universe 7, no. 5 (2021): 144. http://dx.doi.org/10.3390/universe7050144.

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We investigate the gravitational effect on Landau levels. We show that the familiar infinite Landau degeneracy of the energy levels of a quantum particle moving inside a uniform and constant magnetic field is removed by the interaction of the particle with a gravitational field. Two independent approaches are used to solve the relevant Schrödinger equation within the Newtonian approximation. It is found that both approaches yield qualitatively similar results within their respective approximations. With the goal of clarifying some results found in the literature concerning the use of a third independent approach for extracting the quantization condition based on a similar differential equation, we show that such an approach cannot yield a general and yet consistent result. We point out to the more accurate, but impractical, way to use such an approach; a way which does in principle yield a consistent quantization condition. We discuss how our results could be used to contribute in a novel way to the existing methods for testing gravity at the tabletop experiments level as well as at the astrophysical observational level by deriving the corrections brought by Yukawa-like and power-law deviations from the inverse-square law. The full relativistic regime is also examined in detail.
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Heckotter, J., J. Thewes, D. Frohlich, M. Abmann, and M. Bayer. "Landau-level quantization of the yellow excitons in cuprous oxide." Физика твердого тела 60, no. 8 (2018): 1585. http://dx.doi.org/10.21883/ftt.2018.08.46252.20gr.

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AbstractLately, the yellow series of P -excitons in cuprous oxide could be resolved up to the principal quantum number n = 25. Adding a magnetic field, leads to additional confinement normal to the field. Thereby, the transition associated with the exciton n is transformed into the transition between the electron and hole Landau levels with quantum number n , once the associated magnetic length becomes smaller than the related exciton Bohr radius. The magnetic field of this transition scales roughly as n ^–3. As a consequence of the extended exciton series, we are able to observe Landau level transitions with unprecedented high quantum numbers of more than 75.
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Wendler, Florian, Andreas Knorr, and Ermin Malic. "Ultrafast carrier dynamics in Landau-quantized graphene." Nanophotonics 4, no. 3 (2015): 224–49. http://dx.doi.org/10.1515/nanoph-2015-0018.

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AbstractIn an external magnetic field, the energy of massless charge carriers in graphene is quantized into non-equidistant degenerate Landau levels including a zero-energy level. This extraordinary electronic dispersion gives rise to a fundamentally new dynamics of optically excited carriers. Here, we review the state of the art of the relaxation dynamics in Landau-quantized graphene focusing on microscopic insights into possible many-particle relaxation channels.We investigate optical excitation into a non equilibrium distribution followed by ultrafast carrier- carrier and carrier-phonon scattering processes. We reveal that surprisingly the Auger scattering dominates the relaxation dynamics in spite of the non-equidistant Landau quantization in graphene. Furthermore, we demonstrate how technologically relevant carrier multiplication can be achieved and discuss the possibility of optical gain in Landau-quantized graphene. The provided microscopic view on elementary many-particle processes can guide future experimental studies aiming at the design of novel graphene-based optoelectronic devices, such as highly efficient photodetectors, solar cells, and spectrally broad Landau level lasers.
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Dissertations / Theses on the topic "Landau quantization levels"

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Brand, Janetta Debora. "A quantum hall effect without landau levels in a quasi one dimensional system." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71643.

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Thesis (MSc)--Stellenbosch University, 2012.<br>ENGLISH ABSTRACT: The experimental observation of the quantum Hall effect in a two-dimensional electron gas posed an intriguing question to theorists: Why is the quantization of conductance so precise, given the imperfections of the measured samples? The question was answered a few years later, when a connection was uncovered between the quantum Hall effect and topological quantities associated with the band structure of the material in which it is observed. The Hall conductance was revealed to be an integer topological invariant, implying its robustness to certain perturbations. The topological theory went further than explaining only the usual integer quantum Hall effect in a perpendicular magnetic field. Soon it was realized that it also applies to certain systems in which the total magnetic flux is zero. Thus it is possible to have a quantized Hall effect without Landau levels. We study a carbon nanotube in a magnetic field perpendicular to its axial direction. Recent studies suggest that the application of an electric field parallel to the magnetic field would induce a gap in the electronic spectrum of a previously metallic carbon nanotube. Despite the quasi onedimensional nature of the carbon nanotube, the gapped state supports a quantum Hall effect and is associated with a non zero topological invariant. This result is revealed when an additional magnetic field is applied parallel to the axis of the carbon nanotube. If the flux due to this magnetic field is varied by one flux quantum, exactly one electron is transported between the ends of the carbon nanotube.<br>AFRIKAANSE OPSOMMING: Die eksperimentele waarneming van die kwantum Hall effek in ’n twee-dimensionele elektron gas laat ’n interessante vraag aan teoretiese fisikuste: Waarom sou die kwantisasie van die geleiding so presies wees al bevat die monsters, waarop die meetings gedoen word, onsuiwerhede? Hierdie vraag word ’n paar jaar later geantwoord toe ’n konneksie tussen die kwantum Hall effek en topologiese waardes, wat verband hou met die bandstruktuur van die monster, gemaak is. Dit is aan die lig gebring dat die Hall geleiding ’n heeltallige topologiese invariante is wat die robuustheid teen sekere steurings impliseer. Die topologiese teorie verduidelik nie net die gewone kwantum Hall effek wat in ’n loodregte magneetveld waargeneem word nie. Dit is ook moontlik om ’n kwantum Hall effek waar te neem in sekere sisteme waar die totale magneetvloed nul is. Dit is dus moontlik om ’n gekwantiseerde Hall effek sonder Landau levels te hˆe. Ons bestudeer ’n koolstofnanobuis in ’n magneetveld loodreg tot die aksiale rigting. Onlangse studies dui daarop dat die toepassing van ’n elektriese veld parallel aan die magneetveld ’n gaping in die elektroniese spektrum van ’n metaliese koolstofnanobuis induseer. Ten spyte van die een-dimensionele aard van die koolstofnanobuis ondersteun die gapings-toestand steeds ’n kwantum Hall effek en hou dit verband met ’n nie-nul topologiese invariante. Hierdie resultaat word openbaar wanneer ’n bykomende magneetveld parallel tot die as van die koolstofnanobuis toegedien word. Indien die vloed as gevolg van hierdie magneetveld met een vloedkwantum verander word, word presies een elektron tussen die twee kante van die koolstofnanobuis vervoer.
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Hakimi, Shirin. "Exact Diagonalization of Few-electron Quantum Dots." Thesis, Linnaeus University, School of Computer Science, Physics and Mathematics, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-2550.

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<p>We consider a system of few electrons trapped in a two-dimensional circularquantum dot with harmonic confinement and in the presence of ahomogeneous magnetic field, with focus on the role of e-e interaction. Byperforming the exact diagonalization of the Hamiltonian in second quantization,the low-lying energy levels for spin polarized system are obtained. The singlet-triplet oscillation in the ground state of the two-electron system showing up inthe result is explained due to the role of Coulomb interaction. The splitting ofthe lowest Landau level is another effect of the e-e interaction, which is alsoobserved in the results.</p>
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Book chapters on the topic "Landau quantization levels"

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Ho, Ching-Hong, Jhao-Ying Wu, Chiun-Yan Lin, et al. "Topological Characterization of Landau Levels for 2D Massless Dirac Fermions in 3D Layered Systems." In Diverse Quantization Phenomena in Layered Materials. CRC Press, 2019. http://dx.doi.org/10.1201/9781003004981-11.

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Conference papers on the topic "Landau quantization levels"

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Lyngnes, Ove, Hyatt M. Gibbs, Galina Khitrova, Jill D. Berger, Tom R. Nelson, and Valerii Zapaskii. "A Vertical Cavity Surface Emitting Laser Operating in a 12 T Magnetic Field at 2K Temperature." In Quantum Optoelectronics. Optica Publishing Group, 1995. http://dx.doi.org/10.1364/qo.1995.qthc4.

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Recently, concerns have been raised about the presumed improvement in lasing performance in going from a 2D confined system to a OD confined system. Stark et al. (1992, 1993) have studied ≈10 nm GaAs/AlGaAs multiple quantum wells in a perpendicular magnetic field of 12T normal to the quantum wells. Magnetic quantization into equally spaced Landau levels plus the quantum-well quantization along the growth direction result in near-ideal quantum dots. Stark et al. have shown that the 2s magneto-exciton lives ≈ 100 ps, i. e., ≈ 1000 times longer in 12T than 0T, illustrating the phonon bottleneck. Usually hot carriers in a semiconductor excited well above the bandgap relax by a series of optical phonon emissions, thereby transferring energy rapidly (&lt;1ps) and efficiently to the lattice. Schmitt-Rink et al. (1989), Weisbuch et al. (1991), Bockelmann and Bastard (1990), Benisty et al. (1991), and Inoschita et al. (1992) have emphasized that quantum dot quantization in all three dimensions should result in a phonon bottleneck; i.e., only by accident will the distance between energy levels be equal to the phonon energy. This could degrade the performance of a quantum dot laser considerably.
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