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We study a two-dimensional electron system in the presence of both Rashba and Dresselhaus spin-orbit interactions in a perpendicular magnetic field. Defining two suitable boson operators and using the unitary transformations we are able to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Degang Zhang

When the Rashba and Dresslhaus spin-orbit coupling are both presented for a two-dimensional electron in a perpendicular magnetic field, a striking resemblance to anisotropic quantum Rabi model in quantum optics is found. We perform a…

Quantum Gases · Physics 2021-07-13 Rui Zhang , Yuan-Chuan Biao , Wen-Long You , Xiao-Guang Wang , Yu-Yu Zhang

We study the magnetic-field dependence of Landau levels in graphene proximitized by large spin-orbit coupling materials, such as transition-metal dichalcogenides or topological insulators. In addition to the Rashba coupling, two types of…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Tobias Frank , Jaroslav Fabian

We derive a closed analytical expression for the exchange energy of the three-dimensional interacting electron gas in strong magnetic fields, which goes beyond the quantum limit (L=0) by explicitly including the effect of the second, L=1,…

Materials Science · Physics 2009-11-13 J. M. Morbec , K. Capelle

This work elucidates the novel behavior found in a two-dimensional electron gas (2DEG) under a tilted magnetic field in which the field's angle becomes the dominant factor in tuning the spin-splitting rather than the strength of the…

Mesoscale and Nanoscale Physics · Physics 2013-01-01 Rayda Gammag , Cristine Villagonzalo

An analytic closed form solution is derived for the bound states of electrons subject to a static, inhomogeneous ($1/r$-decaying) magnetic field, including the Zeeman interaction. The solution provides access to many-body properties of a…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Dominik Sidler , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

Using the path-integral approach developed by Br\'ezin et al. [ Nucl.Phys.B235, 24 (1984) ], we obtain an analytical expression for the density of states of a spin-1/2 disordered two-dimensional electron gas in a strong, perpendicular…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Ming-Hsien Tu , Min-Fong Yang

An effective Hamiltonian approach is used to study the effect of Landau-level mixing on the energy spectrum of electrons in a smooth but random magnetic field B(r) with a finite uniform component B_0. It is found that, as opposed to…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. C. Chang , M. F. Yang , T. M. Hong

We apply the diagram-technique formalism beyond the Hartree-Fock approximation to a two-dimensional nearly ideal electron gas in a weak perpendicular magnetic field. The case of an almost completely filled upper Landau level (filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexei Kolesnikov

We have studied transport properties in a two-dimensional electron gas with equal Rashba and Dresselhaus spin-orbit interactions under a perpendicular magnetic field. By employing the exact solution for this system, we found resonant charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Degang Zhang , Yao-Ming Mu , C. S. Ting

We study two interacting electrons in a two-dimensional system under a strong magnetic field and show that their numerically exact solutions organize into a set of {\em sub-Landau levels} characterized by relative angular momentum quantum…

Strongly Correlated Electrons · Physics 2026-04-07 Guo-Qiang Hai

The interplay between Rashba, Dresselhaus and Zeeman interactions in a quantum well submitted to an external magnetic field is studied by means of an accurate analytical solution of the Hamiltonian, including electron-electron interactions…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Enrico Lipparini , Manuel Barranco , Francesc Malet , Martí Pi , Llorenç Serra

In the review article the influence of the Rashba spin-orbit coupling on the two-dimensional electrons and holes in a strong perpendicular magnetic field is described in Landau gauge using the spinor-type two-component wave functions with…

Strongly Correlated Electrons · Physics 2013-09-05 S. A. Moskalenko , I. V. Podlesny , E. V. Dumanov , A. A. Kiselyov

Polarization-resolved magneto-luminescence, together with simultaneous magneto-transport measurements, have been performed on a two-dimensional electron gas (2DEG) confined in CdTe quantum well in order to determine the spin-splitting of…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. Kunc , K. Kowalik , F. J. Teran , P. Plochocka , B. A. Piot , D. K. Maude , M. Potemski , V. Kolkovsky , G. Karczewski , T. Wojtowicz

We have investigated the complex two-dimensional electron system with unequal Rashba and Dresselhaus spin-orbit interactions in the presence of a perpendicular magnetic field. The spin polarizations are obtained in a wide range of magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Degang Zhang , C. S. Ting

We have numerically solved the Hamiltonian of an electron in a semiconductor double ring subjected to the magnetic flux and Rashba spin-orbit interaction. It is found that the Aharonov-Bohm energy spectrum reveals multi-zigzag periodic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Wen-Hsuan Kuan , Chi-Shung Tang , Cheng-Hung Chang

This work addresses the study of two-dimensional electron gas in a perpendicular magnetic field in the presence of both Rashba and Dresselhaus spin-orbit (SO) interactions, with effective Zeeman coupling. Exact analytical expressions are…

Mathematical Physics · Physics 2012-04-04 I. Aremua , M. N. Hounkonnou

We have shown that the non-Abelian spin-orbit gauge field strength of the Rashba and Dresselhaus interactions, when split into two Abelian field strengths, the Hamiltonian of the system can be re-expressed as a Landau level problem with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Basu , P. Bandyopadhyay

We report tilted-field transport measurements in the quantum-Hall regime in an InAs/In_0.75Ga_0.25As/In_0.75Al_0.25As quantum well. We observe anti-crossings of spin-split Landau levels, which suggest a mixing of spin states at Landau level…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 W. Desrat , F. Giazotto , V. Pellegrini , M. Governale , F. Beltram , F. Capotondi , G. Biasiol , L. Sorba

We present both the experimental and theoretical investigation of a non-trivial electron Landau levels shift in magnetic field in wide ~20 nm HgTe quantum wells: Landau levels split under magnetic fields but become degenerate again when…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 A. A. Dobretsova , A. D. Chepelianskii , N. N. Mikhailov , Z. D. Kvon
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