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Explicit expressions for magnetoresistance $R$ of planar and layered strongly inhomogeneous two-phase systems are obtained, using exact dual transformation, connecting effective conductivities of in-plane isotropic two-phase systems with…

Disordered Systems and Neural Networks · Physics 2009-11-11 S. A. Bulgadaev , F. V. Kusmartsev

Three explicit approximate expressions for the effective conductivity sigma_e of various planar isotropic two-phase systems in a magnetic field are obtained using the dual linear fractional transformation, connecting sigma_e of these…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. A. Bulgadaev , F. V. Kusmartsev

Gate-controllable two dimensional systems with in-plane modulation of properties could serve as highly tunable effective media. Intuitively, such systems may bring novel functionality provided that the period of the lateral modulation is…

Mesoscale and Nanoscale Physics · Physics 2019-11-04 Alexey Shupletsov , Alexander Kuntsevich , Martin Nunuparov , Alexander Rakhmanov , Kirill Prikhodko

In experiments on electron transport the macroscopic inhomogeneities in the sample play a fundamental role. In this paper and a subsequent one we introduce and develop a general formalism that captures the principal features of sample…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Karmakar , M. R. Gokhale , A. P. Shah , B. M. Arora , D. T. N. de Lang , A. de Visser , L. A. Ponomarenko , A. M. M. Pruisken

Using the linear fractional transformation, connecting effective conductivities sigma_{e} of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for sigma_{e} in a magnetic field are obtained. They…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. A. Bulgadaev , F. V. Kusmartsev

The nature of localized-itinerant transition in Kondo lattice systems remains a mystery despite intensive investigations in past decades. While it is often identified from the coherent peak in magnetic resistivity, recent angle-resolved…

Strongly Correlated Electrons · Physics 2025-05-19 Shuo Zou , Hai Zeng , Zhuo Wang , Guohao Dong , Xiaodong Guo , Fangjun Lu , Zengwei Zhu , Youguo Shi , Yifeng Yang , Yongkang Luo

A Kubo inspired formalism is proposed to compute the longitudinal and transverse dynamical conductivities of an electron in a plane (or a gas of electrons at zero temperature) coupled to the potential vector of an external local magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Jean Desbois , Stéphane Ouvry , Christophe Texier

Using a fact that the effective conductivity sigma_{e} of 2D random heterophase systems in the orthogonal magnetic field is transformed under some subgroup of the linear fractional group, connected with a group of linear transformations of…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. A. Bulgadaev , F. V. Kusmartsev

Recent measurements of the 2D Hall resistance show that the Hall coefficient is independent of the applied in-plane magnetic field, i.e., the spin-polarization of the system. We calculate the weak-field Hall coefficient and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. H. Hwang , S. Das Sarma

We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field $B(x)$. First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second,…

Mesoscale and Nanoscale Physics · Physics 2021-10-28 Botsz Huang , Ali G. Moghaddam , Jorge I. Facio , Ching-Hao Chang

We report the observation of an acute sensitivity of the anisotropic longitudinal resistivity of two-dimensional electron systems in half-filled high Landau levels to the magnitude and orientation of an in-plane magnetic field. In the third…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Lilly , K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The planar Hall effect is a phenomenon that the Hall conductivity emerges perpendicular to the electric field in the presence of an in-plane magnetic field. We investigate the planar Hall effect in two-dimensional metal coupled with higher…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Motohiko Ezawa

The mutual interplay between electron transport and magnetism has attracted considerable attention in recent years, primarily motivated by strategies to manipulate magnetic degrees of freedom electrically, such as spin-orbit torques and…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Hong Liu , Rhonald Burgos Atencia , Nikhil Medhekar , Dimitrie Culcer

Electrical resistivities can be different for charge currents travelling parallel or perpendicular to the magnetization in magnetically ordered conductors or semiconductors, resulting in the well-known planar Hall effect and anisotropic…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 J. Liu , L. J. Cornelissen , J. Shan , T. Kuschel , B. J. van Wees

The transport properties of a rectangular mesoscopic plaquette in the presence of a perpendicular magnetic field are studied in a tight-binding model with randomly distributed traps. The longitudinal and Hall resistances are calculted in…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. Aldea , P. Gartner , M. Nita

Large positive (P) magnetoresistance (MR) has been observed in parallel magnetic fields in a single 2D layer in a delta-doped GaAs/AlGaAs heterostructure with a variable-range-hopping (VRH) mechanism of conductivity. Effect of large PMR is…

Disordered Systems and Neural Networks · Physics 2009-10-31 I. Shlimak , S. I. Khondaker , M. Pepper , D. A. Ritchie

We apply homogenization theory to calculate the effective electric conductivity and Hall coefficient tensor of passive three-dimensionally periodic metamaterials subject to a weak external static homogeneous magnetic field. We not only…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Christian Kern , Graeme W Milton , Muamer Kadic , Martin Wegener

Two-component conductors -- e.g., semi-metals and narrow band semiconductors -- often exhibit unusually strong magnetoresistance in a wide temperature range. Suppression of the Hall voltage near charge neutrality in such systems gives rise…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Schütt , M. Titov

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 Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

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