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We consider a 2D electron system in a strong magnetic field, where the local Hall resistivity $\rho_{xy}(\vec r)$ is a function of position and $\rho_{xx}(\vec r)$ is small compared to $\rho_{xy}$. Particularly if the correlations fall off…

Condensed Matter · Physics 2009-10-22 Steven H. Simon , Bertrand I. Halperin

By measuring magnetoresistance and Hall effect in classically moderate perpendicular magnetic field in Si-MOSFET-type macroscopic antidot array we found a novel effect: nonlinear with field, temperature- and density-dependent Hall…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 A. Yu. Kuntsevich , A. V. Shupltetsov , M. S. Nunuparov

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…

Disordered Systems and Neural Networks · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , B. N. Zvonkov

The quantum Hall effect realizes a quantized Hall resistance $R_{xy} = h/(\nu e^2)$ whereas the longitudinal resistance vanishes. The quantized value consists of the fundamental physical quantities, the elementary charge $e$ and the Planck…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Hiroki Isobe

We use bosonization to analyze the ground state Hall response of interacting bosonic N-leg ladders threaded by a flux. We derive an explicit expression of the Hall imbalance in a perturbative expansion in the band curvature, retaining fully…

Quantum Gases · Physics 2026-05-28 Edmond Orignac , Roberta Citro , Thierry Giamarchi

Weak field Hall resistance Rxy(T) of the 2D electron system in Si was measured over the range of temperatures 1-35 K and densities, where the diagonal resistivity exhibits a ``metallic'' behavior. The Rxy(T) dependence was found to be…

Strongly Correlated Electrons · Physics 2009-11-11 A. Yu. Kuntsevich , D. A. Knyazev , V. I. Kozub , V. M. Pudalov , G. Brunhaler , G. Bauer

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The Hall conductivity and resistivity of strongly localized electrons at low temperatures and at small magnetic fields are obtained. It is found that the results depend on whether the conductivity or the resistivity tensors are averaged to…

Condensed Matter · Physics 2009-10-28 O. Entin-Wohlman , A. G. Aronov , Y. Levinson , Y. Imry

We report the temperature($T$) and perpendicular magnetic field($B$) dependence of the Hall resistivity $\rho_{xy}(B)$ of dilute metallic two-dimensional(2D) holes in GaAs over a broad range of temperature(0.02-1.25K). The low $B$ Hall…

Strongly Correlated Electrons · Physics 2007-05-23 Xuan P. A. Gao , G. S. Boebinger , A. P. Mills , A. P. Ramirez , L. N. Pfeiffer , K. W. West

We find that the Hall effect resistivity ($\rho_{xy}$) of thin films of \lsmo\ varies as a function of the angle $\theta$ between the applied magnetic field and the film normal as $\rho_{xy}=a\cos \theta + b\cos 3\theta$, where $|b|$…

Strongly Correlated Electrons · Physics 2015-06-12 Netanel Naftalis , Noam Haham , Jason Hoffman , Matthew S. J. Marshall , C. H. Ahn , Lior Klein

The Hall resistivity rho_{xy} of LuNi_2B_2C is negative in the normal as well as in the mixed state and has no sign reversal typical for high-T_c superconductors. A distinct nonlinearity in the rho_{xy} dependence on field H was found in…

Superconductivity · Physics 2009-10-31 V. N. Narozhnyi , J. Freudenberger , V. N. Kochetkov , K. A. Nenkov , G. Fuchs , K. -H. Müller

We calculate the Hall conductivity $\sig_{xy}$ and resistivity $\rho_{xy}$ of a granular system at large tunneling conductance $g_{T}\gg 1$. We show that in the absence of Coulomb interaction the Hall resistivity depends neither on the…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 M. Yu. Kharitonov , K. B. Efetov

We theoretically investigate the anomalous Hall effect in a system of dense-packed ferromagnetic grains in the metallic regime. Using the formalism recently developed for the conventional Hall effect in granular metals, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Hendrik Meier , Maxim Yu. Kharitonov , Konstantin B. Efetov

The resistivity, temperature, and magnetic field dependence of the anomalous Hall effect in a series of metallic Ga1-xMnxAs thin films with 0.015=<x=<0.08 is presented. A quadratic dependence of the anomalous Hall resistance on the…

Materials Science · Physics 2009-11-07 K W Edmonds , R P Campion , K-Y Wang , A C Neumann , B L Gallagher , C T Foxon , P C Main

The temperature and scale dependence of resistivities in the standard scaling theory of the integer quantum Hall effect is discussed. It is shown that recent experiments, claiming to observe a discrepancy with the global phase diagram of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein

The Hall resistivity rho_{xy} of a La_{2/3}(Ca,Pb)_{1/3}MnO_3 single crystal has been measured as a function of temperature and field. The overall behavior is similar to that observed previously in thin-films. At 5 K, rho_{xy} is positive…

Strongly Correlated Electrons · Physics 2009-10-31 S. H. Chun , M. B. Salamon , P. D. Han

Two-component systems with equal concentrations of electrons and holes exhibit non-saturating, linear magnetoresistance in classically strong magnetic fields. The effect is predicted to occur in finite-size samples at charge neutrality in…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Schuett , M. Titov

The magnetoresistance (MR) of a material is typically insensitive to reversing the applied field direction and varies quadratically with magnetic field in the low-field limit. Quantum effects [1], unusual topological band structures [2],…

The Hall resistance was measured by the van der Pauw method on $YBa_2Cu_3O_x$ samples in magnetic fields up to 5 T. In region from 0 to 0.2 T the part of the resistance due to transversal electric field, which is even in magnetic field has…

Superconductivity · Physics 2007-05-23 I. Janeček , P. Vašek

We have measured the longitudinal resistivity and the Hall resistivity in the ab-plane of highly c-axis-oriented MgB2 thin films. In the normal state, the Hall coefficient (R_H) behaves as R_H ~ T with increasing temperature (T) up to 130 K…

Superconductivity · Physics 2009-11-07 W. N. Kang , Hyeong-Jin Kim , Eun-Mi Choi , Heon Jung Kim , Kijoon H. P. Kim , H. S. Lee , Sung-Ik Lee
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