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General thermodynamical arguments are used to relate the Hall current to the part of the magnetic moment originated in "macroscopic current loops". The Hall resistance is found to depend only on the electron properties in the vicinity of…

介观与纳米尺度物理 · 物理学 2007-05-23 P. Streda

We develop a model of the nonlinear response to a DC electrical current of a two dimensional electron system(2DES) placed on a magnetic field. Based on the exact solution of the Schroedinger equation in arbitrarily strong electric and…

介观与纳米尺度物理 · 物理学 2009-11-13 A. Kunold , M. Torres

A theory of the static electron polarizability of crystals whose energy spectrum is modified by quantizing magnetic fields is presented. It is argued that The polarizability is strongly affected by non-dissipative Hall currents induced by…

介观与纳米尺度物理 · 物理学 2008-04-14 Pavel Streda , Thibaut Jonckheere , Thierry Martin

We consider the quantum Hall effect of two-dimensional electrons with a periodic potential and study the time dependence of the Hall and longitudinal currents when the electric field is applied abruptly. We find that the currents oscillate…

介观与纳米尺度物理 · 物理学 2008-12-16 Manabu Machida , Jun Goryo , Naomichi Hatano

It is shown that magnetic forces as the Lorentz force, exerted on electric currents, and the force {\mu}Div(B), exerted on electron spins at rest, account for both the transverse spin imbalance typical of spin Hall effect and the transverse…

介观与纳米尺度物理 · 物理学 2020-03-18 Antonio Hernando , Fernando Gálvez , Francisco Guinea

We study the Hall effect in diluted plasmas within the two-fluids theory. Composed by two distinct species with opposite charge, such as electrons and ions in fully ionised hydrogen, the plasma is driven by an electric field through a…

等离子体物理 · 物理学 2016-12-20 Nicola Offeddu , Miller Mendoza

We apply a general method developed recently for the derivation of the diagonal representation of an arbitrary matrix valued quantum Hamiltonian to the particular case of Bloch electrons in an external electromagnetic field. We find the…

强关联电子 · 物理学 2008-12-18 Pierre Gosselin , Herve Mohrbach

In high-quality solid-state systems at low temperatures, the hydrodynamic or the ballistic regimes of heat and charge transport are realized in the electron and the phonon systems. In these regimes, the thermal and the electric conductance…

介观与纳米尺度物理 · 物理学 2019-09-18 P. S. Alekseev , M. A. Semina

We study the energy spectrum and the quantized Hall conductance of electrons in a two-dimensional periodic potential with perpendicular magnetic field WITHOUT neglecting the coupling of the Landau bands. Remarkably, even for weak Landau…

介观与纳米尺度物理 · 物理学 2009-10-30 D. Springsguth , R. Ketzmerick , T. Geisel

The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field…

介观与纳米尺度物理 · 物理学 2009-11-10 A. Kunold , M. Torres

The nonlinear behavior of the Hall resistivity at low magnetic fields in single quantum well GaAs/In$_x$Ga$_{1-x}$As/GaAs heterostructures with degenerated electron gas is studied. It has been found that this anomaly is accompanied by the…

无序系统与神经网络 · 物理学 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , B. N. Zvonkov

The spin Hall effect does not generally result in a charge Hall voltage. We predict that in systems with inhomogeneous electron density in the direction perpendicular to main current flow, the spin Hall effect is instead accompanied by a…

介观与纳米尺度物理 · 物理学 2008-03-23 Yu. V. Pershin , M. Di Ventra

The integer quantum Hall effect is analysed using a transport mechanism with a semi-classic wave packages of electrons in this paper. A strong magnetic field perpendicular to a slab separates the electron current into two branches with…

综合物理 · 物理学 2016-09-21 W. LiMing , Tan Hui

The theory of the nonlinear Hall effect has been established by I. Sodemann and L. Fu [Phys. Rev. Lett. 115, 216806 (2015)] in a semiclassical framework: therein, the effect appears as a geometrical property of Bloch electrons, originating…

材料科学 · 物理学 2021-05-13 Raffaele Resta

The Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field. The Hall conductivity is expressed as a sum of two contributions: one corresponding to the classical Drude-Zener formula, and a second…

介观与纳米尺度物理 · 物理学 2009-03-24 Toshifumi Itakura

The properties which characterize the stationary Hall effect in a Hall bar are derived from the Langevin equations describing the Brownian motion of an ensemble of interacting moving charges in a constant externally applied electromagnetic…

统计力学 · 物理学 2020-12-02 P. M. Déjardin , J. E. Wegrowe

We consider Bloch electrons in the presence of the uniform electromagnetic field in two- and three-dimensions. It is renowned that the quantized Hall effect occurs in such systems. We suppose a weak and homogeneous electric field…

介观与纳米尺度物理 · 物理学 2009-11-07 J. Goryo , M. Kohmoto

We develop a hydrodynamic theory for an electron system exhibiting the anomalous Hall effect, and show that an additional anomalous Hall effect is induced by a vorticity generated near boundaries. We calculate the momentum flux and force…

介观与纳米尺度物理 · 物理学 2021-07-28 Hiroshi Funaki , Riki Toshio , Gen Tatara

As discovered in the quantum Hall effect, a very effective way for strongly-repulsive electrons to minimize their potential energy is to aquire non-zero relative angular momentum. We pursue this mechanism for interacting two-dimensional…

强关联电子 · 物理学 2009-10-31 Leon Balents , Matthew P. A. Fisher , Chetan Nayak

We derive the field correction to the Berry curvature of Bloch electrons, which can be traced back to a positional shift due to the interband mixing induced by external electromagnetic fields. The resulting semiclassical dynamics is…

介观与纳米尺度物理 · 物理学 2015-06-18 Yang Gao , Shengyuan A. Yang , Qian Niu
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