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We calculate the Hall transport in a multiband systems with a dominant interband interaction between carriers having electron and hole character. We show that this situation gives rise to an unconventional scenario, beyond the Boltzmann…

Strongly Correlated Electrons · Physics 2012-08-28 L. Fanfarillo , E. Cappelluti , C. Castellani , L. Benfatto

We study the stationary state of Hall devices composed of a load circuit connected to the lateral edges of a Hall-bar. We follow the approach developed in a previous work (Creff et al. J. Appl. Phys 2020) in which the stationary state of a…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 F. Faisant , M. Creff , J. -E. Wegrowe

The edge Hall conductivity is shown to be an integer multiple of $e^2/h$ which is almost surely independent of the choice of the disordered configuration. Its equality to the bulk Hall conductivity given by the Kubo-Chern formula follows…

Mesoscale and Nanoscale Physics · Physics 2016-10-28 H. Schulz-Baldes , J. Kellendonk , Th. Richter

We have measured the flux-flow Hall effect in a multi-band superconductor FeSe pure single crystal to investigate the nature of the vortex core state by means of the cross-shaped bimodal cavity technique. We found that the flux-flow Hall…

Superconductivity · Physics 2023-06-07 R. Ogawa , F. Nabeshima , A. Maeda

We derive generalized quasiclassical transport equations which include the terms responsible for the Hall Effect in the vortex state of a clean type-II superconductor, and calculate the conductivity tensor for an s-wave superconductor in…

Superconductivity · Physics 2009-10-30 A. Houghton , I. Vekhter

Sixty years ago, Karplus and Luttinger pointed out that quantum particles moving on a lattice could acquire an anomalous transverse velocity in response to a force, providing an explanation for the unusual Hall effect in ferromagnetic…

We measure the low-field Hall resistivity of a magnetically-doped two-dimensional electron gas as a function of temperature and electrically-gated carrier density. Comparing these results with the carrier density extracted from Shubnikov-de…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Cumings , L. S. Moore , H. T. Chou , K. C. Ku , S. A. Crooker , N. Samarth , D. Goldhaber-Gordon

We have analyzed the breakdown of the quantum Hall effect in 1 micrometer wide Hall devices fabricated from an exfoliated monolayer graphene transferred on SiOx. We have observed that the deviation of the Hall resistance from its quantized…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Cenk Yanik , Ismet I. Kaya

In a quantum Hall system, the finite-wavevector Hall conductivity displays an intriguing dependence on the Hall viscosity, a coefficient that describes the non-dissipative response of the fluid to a velocity gradient. In this paper, we…

Strongly Correlated Electrons · Physics 2020-01-03 Fenner Harper , David Bauer , T. S. Jackson , Rahul Roy

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Streda

We model the insulator neighboring the 1/k quantum Hall phase by a random network of puddles of filling fraction 1/k. The puddles are coupled by weak tunnel barriers. Using Kirchoff's laws we prove that the macroscopic Hall resistivity is…

Condensed Matter · Physics 2008-02-03 Efrat Shimshoni , Assa Auerbach

The dynamical Hall response in a correlated electronic system is analysed within the linear response theory for tight binding models. At $T=0$ the d.c. Hall constant for a single quasiparticle is expressed explicitly via the charge…

Condensed Matter · Physics 2009-10-28 Peter Prelovsek

We study the dissipative and Hall viscosity of a disordered noninteracting 2D electrons, both analytically and numerically. Analytically, we employ the self-consistent Born approximation, explicitly taking into account the modification of…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 I. S. Burmistrov , M. Goldstein , M. Kot , V. D. Kurilovich , P. D. Kurilovich

In case of a of the heterostructure n-GaAs/AlGaAs with sheet density $n=2 \times 10^{11}$cm$^{-2}$ and mobility $\mu \approx 2 \times 10^6$ cm$^2$/V$\cdot$s with integer and fractional quantum Hall effect (IQHE and FQHE, respectively) we…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 I. L. Drichko , I. Yu. Smirnov , A. V. Suslov , D. R. Leadley

It is well known that a nontrivial Chern number results in quantized Hall conductance. What is less known is that, generically, the Hall response can be dramatically different from its quantized value in materials with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Fang Qin , Rui Chen , Ching Hua Lee

We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

Quantum oscillation phenomena, in conventional 2-dimensional electron systems and in the fractional quantum Hall effect, are usually treated in the Lifshitz-Kosevich formalism. This is justified in three dimensions by Luttinger's expansion,…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Curnoe , P. C. E. Stamp

The role of the Hall term on large scale dynamo action is investigated by means of the First Order Smoothing Approximation. It is shown that the standard $\alpha$ coefficient is altered, and is zero when a specific double Beltrami state is…

Astrophysics of Galaxies · Physics 2016-09-28 Manasvi Lingam , Amitava Bhattacharjee

The topic of this contribution is the investigation of quantum states and quantum Hall effect in electron gas subjected to a periodic potential of the lateral lattice. The potential is formed by triangular quantum antidos located on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Ya. Demikhovskii , A. A. Perov

The crossover from the quantum Hall regime to the Hall-insulator is investigated by varying the strength of the diagonal disorder in a 2d tight-binding model. The Hall and longitudinal conductivities and the behavior of the critical states…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Potempa , A. Bäker , L. Schweitzer