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We derive effective Hamiltonians for the fractional quantum Hall effect in n=0 and n=1 Landau levels that account perturbatively for Landau level mixing by electron-electron interactions. To second order in the ratio of electron-electron…

Strongly Correlated Electrons · Physics 2013-06-26 Inti Sodemann , A. H. MacDonald

Four different spin structures of two electrons and of two holes situated on the lowest Landau levels (LLLs) are taken into account to investigate possible bound states of the two-dimensional magnetic biexciton formed of two magnetoexcitons…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 I. V. Podlesny , I. A. Zubac , Cam Ngoc Hoang , M. A. Liberman

We theoretically investigate photoinduced phenomena induced by time-periodic driving fields in two-dimensional electron gases under perpendicular magnetic fields with Rashba spin-orbit coupling. Using perturbation theory, we provide…

Mesoscale and Nanoscale Physics · Physics 2020-10-23 Daniel Hernangómez-Pérez , Juan Daniel Torres , Alexander López

We analytically evaluate charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies. On the basis of our exact expressions we discuss the accuracy…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Pletyukhov , S. Konschuh

The transition from partial to complete spin polarization of two-dimensional electrons at half filling of the lowest Landau level has been studied using resistively-detected nuclear magnetic resonance (RDNMR). The nuclear spin-lattice…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. A. Tracy , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The spin-Hall effect in the two-dimensional electron gas (2DEG) generates symmetric out-of-plane spin Sz accumulation about the current axis in the absence of external magnetic field. Here we employ the real space Landauer-Keldysh formalism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Son-Hsien Chen , Ming-Hao Liu , Kuo-Wei Chen , Ching-Ray Chang

Transport measurements under a tilted magnetic field were performed on a series of C-doped (001) AlGaAs/GaAs/AlGaAs two-dimensional hole samples. Due to a large g-factor, Zeeman energy is large and comparable to the cyclotron energy in…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Po Zhang , Ruiyuan Liu , Rui-Rui Du , L. N. Pfeiffer , K. W. West

We have proposed a fully quantum approach to non-perturbatively calculate the spin-split Landau levels and g-factor of various spin-orbit coupled solids, based on the k.p theory in the matrix mechanics representation. The new method…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Yuki Izaki , Yuki Fuseya

We investigate the coupling between Rydberg states of electrons trapped on a liquid Helium surface and Landau levels induced by a perpendicular magnetic field. We show that this realises a prototype quantum system equivalent to an atom in a…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 K. M. Yunusova , D. Konstantinov , H. Bouchiat , A. D. Chepelianskii

Equilibrium spin-current is calculated in a quasi-two-dimensional electron gas with finite thickness under in-plane magnetic field and in the presence of Rashba- and Dresselhaus spin-orbit interactions. The transverse confinement is modeled…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 E. Nakhmedov , O. Alekperov

We report on transport and capacitance measurements of graphene devices in magnetic fields up to 30 T. In both techniques, we observe the full splitting of Landau levels and we employ tilted field experiments to address the origin of the…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 F. Chiappini , S. Wiedmann , K. S. Novoselov , A. Mishchenko , A. K. Geim , J. C. Maan , U. Zeitler

We study the ground state properties of spin-half bosons subjected to the Rashba spin-orbit coupling in two dimensions. Due to the enhancement of the low energy density of states, it is expected that the effect of interaction becomes more…

Strongly Correlated Electrons · Physics 2016-03-02 Zhihao Xu , Zhenhua Yu , Shizhong Zhang

In this proceedings paper we report on a calculation of graphene's Landau levels in a magnetic field. Our calculations are based on a self-consistent Hartree-Fock approximation for graphene's massless-Dirac continuum model. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-10-07 Yafis Barlas , Wei-Cheng Lee , Kentato Nomura , Allan H. MacDonald

We develop a theoretical framework for Landau levels in quasi-periodic twisted bilayer graphene at a $30^\circ$ twist angle, a system without translational symmetry but possessing 12-fold rotational symmetry. Using a quasi-band formalism,…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Masaru Hitomi , Takuto Kawakami , Mikito Koshino

The transition between the stripe state and the liquid state in a high magnetic field is studied by the density-matrix renormalization-group (DMRG) method. Systematic analysis on the ground state of two-dimensional electrons in the lowest…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Naokazu Shibata , Daijiro Yoshioka

We present the first detailed study of the effect of a strong magnetic field on single-electron pumping in a device utilising a finger-gate split-gate configuration. In the quantum Hall regime, we demonstrate electron pumping from Landau…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 E. Pyurbeeva , M. D. Blumenthal , J. A. Mol , H. Howe , H. E. Beere , T. Mitchell , D. A. Ritchie , M. Pepper

We present a theory that studies the state composition of a bound exciton in magnetic field. Using a basis set made of products of free electron and hole wavefunctions in Landau gauge, we derive a secular equation which shows the relation…

Materials Science · Physics 2025-08-19 Dinh Van Tuan , Hanan Dery

We consider the magnetic response of a two-dimensional electron gas (2DEG) with both Rashba and Dresselhaus spin-orbit coupling to a microwave excitation. We generalize the results of [A. Shnirman and I. Martin, Europhys. Lett. 78, 27001…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 Mikhail Pletyukhov , Alexander Shnirman

By applying a magnetic field perpendicular to GaAs/AlGaAs two-dimensional electron systems, we study the low-field Landau quantization when the thermal damping is reduced with decreasing the temperature. Magneto-oscillations following…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Jing-Han Chen , D. R. Hang , C. F. Huang , Tsai-Yu Huang , Jyun-Ying Lin , S. H. Lo , J. C. Hsiao , Ming-Gu Lin , M. Y. Simmons , D. A. Ritchie , C. -T. Liang

In this contribution we study the Landau levels arising within the relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field. We consider the…

Quantum Physics · Physics 2015-05-13 K. Bakke , C. Furtado