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A numerical study is made of current distribution in small Hall bars with disorder. It is observed, in particular, that in the Hall-plateau regime the Hall current tends to concentrate near the sample edges while it diminishes on average in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Shizuya

We have observed the Hall effect in the field-induced accumulation layer on the surface of small-molecule organic semiconductor. The Hall mobility mu_H increases with decreasing temperature in both the intrinsic (high-temperature) and…

Materials Science · Physics 2009-11-11 V. Podzorov , E. Menard , J. A. Rogers , M. E. Gershenson

Hall effect is detected in organic field-effect transistors, using appropriately shaped rubrene (C42H28) single crystals. It turned out that inverse Hall coefficient, having a positive sign, is close to the amount of electric-field induced…

Materials Science · Physics 2009-11-11 J. Takeya , K. Tsukagoshi , Y. Aoyagi , T. Takenobu , Y. Iwasa

We report on theoretical and experimental investigations of the integer quantized Hall effect in narrow channels at various mobilities. The Hall bars are defined electrostatically in two-dimensional electron systems by biasing metal gates…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Horas , A. Siddiki , J. Moser , W. Wegscheider , S. Ludwig

The spectrum and the eigenstates of a finite 2D tight-binding electronic system, with Dirichlet boundary conditions, in magnetic field and external linear potential are studied. The eigenstates show an equipotential character and may cross…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. Aldea , P. Gartner , A. Manolescu , M. Nita

Thermal fluctuation conductivity for a layered superconductor in perpendicular magnetic field is treated in the frame of the self-consistent Hartree approximation for an arbitrarily strong in-plane electric field. The simultaneous…

Superconductivity · Physics 2009-11-10 Ionut Puica , Wolfgang Lang

Using determinant Quantum Monte Carlo, we compare three methods of evaluating the dc Hall coefficient $R_H$ of the Hubbard model: the direct measurement of the off-diagonal current-current correlator $\chi_{xy}$ in a system coupled to a…

Strongly Correlated Electrons · Physics 2021-07-13 Wen O. Wang , Jixun K. Ding , Brian Moritz , Yoni Schattner , Edwin W. Huang , Thomas P. Devereaux

We analytically show that a gap is induced around the Dirac point in the electronic spectrum of a previously metallic nanotube, in the presence of electric and magnetic fields perpendicular to the tube axis. For realistic values of the…

Mesoscale and Nanoscale Physics · Physics 2011-05-25 J. D. Brand , I. Snyman

We investigate the effect on a Quantum Hall (QH) liquid of its coupling to 3+1 dimensional dynamical electromagnetism, which renders the system gapless. We calculate both the Hall and longitudinal resistances, $\rho_H$ and $\rho_L$, in the…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 T. H. Hansson , Qing-Dong Jiang , S. A. Kivelson , Thomas Klein Kvorning

Nonequilibrium electron distribution in a superlattice subjected to a homogeneous electric field (biased superlattice with equipopulated levels) is studied within the tight-binding approximation, taking into account the scattering by…

Materials Science · Physics 2015-05-13 A. Hernandez-Cabrera , P. Aceituno , F. T. Vasko

In this paper, we develop a unified theory for describing Hall effect in various electronic systems based on a pure electron picture (without the hole concept). We argue that the Hall effect is the magnetic field induced symmetry breaking…

Strongly Correlated Electrons · Physics 2009-01-26 X. Q. Huang

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

Condensed Matter · Physics 2009-10-28 K. Ziegler

The hydrodynamic regime of charge transport has been recently realized in high-quality conductors. In the hydrodynamic as well as in the Ohmic regimes the main part of the Hall resistance of a long sample is determined by the balance…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 A. N. Afanasiev , P. S. Alekseev , A. A. Danilenko , A. P. Dmitriev , A. A. Greshnov , M. A. Semina

Inspired by recent experiments by Geim et al. we discuss the classical theory of the Hall effect of a 2 dimensional electron gas in an inhomogeneous magnetic field. The field modulation is in the form of flux tubes created by a…

Condensed Matter · Physics 2016-08-14 Kasper Juel Eriksen , Per Hedegård

We calculate the spin-Hall conductivity for a two-dimensional electron gas within the self-consistent Born approximation, varying the strength and type of disorder. In the weak disorder limit we find both analytically and numerically a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Peter Schwab

The physics of a planar chiral $p\pm i p$ superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands…

Superconductivity · Physics 2018-09-26 Daniel Ariad , Yshai Avishai , Eytan Grosfeld

We calculate the Hall viscosity and the nonlocal (i.e., dependent on wave vector $\bm q$) Hall conductivity of "gapped graphene" (a non-topological insulator with two valleys) in the presence of a strong perpendicular magnetic field. Using…

Mesoscale and Nanoscale Physics · Physics 2019-09-17 Mohammad Sherafati , Giovanni Vignale

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang

We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann equation, provides a framework for studying transport problems…

Condensed Matter · Physics 2009-10-28 M. C. Chang , Q. Niu

Charge carrier mobility is at the core of semiconductor materials and devices optimization, and Hall measurement is one of the most important techniques for its characterization. The Hall factor, defined as the ratio between Hall and drift…

Materials Science · Physics 2023-07-12 Tianqi Deng , Deren Yang , Xiaodong Pi