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The quantum Hall effect is studied numerically in modulated two-dimensional electron systems in the presence of disorder. Based on the scaling property of the Hall conductivity as well as the localization length, the critical energies where…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mikito Koshino , Tsuneya Ando

The geometric effects of two-dimensional curved systems have been an interesting topic for a long time. A M\"{o}bius surface is specifically considered. For a relativistic particle confined to the nontrivial surface, we give the effective…

Quantum Physics · Physics 2021-09-28 Yong-Long Wang , Hao Zhao , Hua Jiang , Hui Liu , Yan-Feng Chen

Two well-known Hall-like effects are occurring in ferromagnets: the Anomalous Hall effect and the Planar Hall effect. The former is analogous to the classical Hall effect and is defined by the Onsager reciprocity relation of the second kind…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Jean-Eric Wegrowe , Luqian Zhou , Sariah Al Saati

In this study, we consider a two-layer graphene structure stacked in the AA form and exposed to the influence of two different electric fields applied to different layers. The graphene layers are also subjected to an external magnetic field…

Strongly Correlated Electrons · Physics 2025-10-23 V. Apinyan , T. Kopeć

We have found that intensity $I$ and circular polarization degree $\rho$ of the edge photoluminescence, excited in GaAsN alloys by circularly polarized light at room temperature, grow substantially in the longitudinal magnetic field $B$ of…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 V. K. Kalevich , M. M. Afanasiev , A. Yu. Shiryaev , A. Yu. Egorov

By considering gauge transformations on the macroscopic Maxwell's equations, a two dimensional gauge field, with its pseudo magnetic field in the real space, is identified as tilted anisotropy in the constitutive parameters. We show that…

Optics · Physics 2015-08-05 Fu Liu , Jensen Li

In this work, the changes in the energy of electrons and holes, oscillator strength and interband transition time when external fields are applied to a GaAs/AlGaAs semiconductor double ring grown by the droplet epitaxy technique are…

Computational Physics · Physics 2023-09-11 Adrian Radu , Cristina Stan , Doina Bejan

We clarify the origin of what is sometimes called the "topological anomalous Hall effect," provide analytical formulas to compute all the contributions to the Hall conductivity in the presence of Kondo-coupled spins and spin orbit coupling.…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

The conductance of an open quench-disordered two-dimensional (2D) electron system subject to an in-plane magnetic field is calculated within the framework of conventional Fermi liquid theory applied to actually a three-dimensional system of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yu. V. Tarasov

We compute the influence of an external magnetic field on the Casimir energy of a massive charged scalar field confined between two parallel infinite plates. For this case the obtained result shows that the magnetic field inhibits the…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. C. Tort

The inclusion of plasma magnetization in the equations of stationary equilibrium is derived, and its effect on the determination of axisymmetric equilibrium calculated. A factor of 2 on the pressure gradient arises in the equilibrium…

Plasma Physics · Physics 2010-04-14 Robert W. Johnson

We investigate the effects induced by spin polarization in the contacts attached to a serial double quantum dot. The polarization generates effective magnetic fields and suppresses the Kondo effect in each dot. The super-exchange…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 Rok Žitko , Jong Soo Lim , Rosa Lopez , Jan Martinek , Pascal Simon

In two-dimensional materials where interacting Fermi pockets occur in valleys related by time-reversal symmetry, a spontaneous valley imbalance results in a novel state known as an orbital magnet. Due to the breaking of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Fernando Peñaranda , Fernando de Juan

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e.\ a disordered distribution of magnetic flux vortices, and a periodic array of magnetic…

Condensed Matter · Physics 2016-08-14 Mads Nielsen , Per Hedegård

The charge and spin Hall conductance of the two-dimensional hole gas within the Luttinger model with and without inversion symmetry breaking terms in a perpendicular magnetic field are studied, and two key phenomena are predicted. The sign…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tianxing Ma , Qin Liu

We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in $\mathbb{R}^n, n\geq2$, can uniquely determine, in a nonlinear magnetic Schr\"odinger equation, the vector-valued…

Analysis of PDEs · Mathematics 2020-07-07 Ru-Yu Lai , Ting Zhou

In this paper we deal with generalizations of the Mahler volume product for log-concave functions. We show that the polarity transform $\mathcal A$ can be rescaled so that the Mahler product it induces has upper and lower bounds of the same…

Functional Analysis · Mathematics 2025-07-31 Shoni Gilboa , Alexander Segal , Boaz A. Slomka

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

The amplitude V_0 of unidirectional periodic potential modulation introduced by a surface grating into a two-dimensional electron gas (2DEG) formed at AlGaAs/GaAs heterointerface is measured as a function of electron density n_e by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Endo , Yasuhiro Iye
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