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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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Kunold , M. Torres

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

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

We study the effect of a perpendicular uniform magnetic field on the dissipative conductivity of a rectangular lattice with anisotropic hopping, $t_x\neq t_y $. We show that the magnetic field may enhance dramatically the directional…

Condensed Matter · Physics 2009-10-31 Armelle Barelli , Jean Bellissard , Francisco Claro

Phonon polarization in a magnetic field is analyzed in 2D model. It is shown, that at presence of spin-phonon interaction phonon possess elliptic polarization which causes the appearance of heat flux component perpendicular both to…

Other Condensed Matter · Physics 2008-12-04 L. A. Maksimov , T. V. Khabarova

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

Dirac, Schwinger and Zwanziger theories of electric and magnetic charges are obtained via duality transformation. Analogous construction for three Euclidean dimensions, with magnetic charges interacting with electric currents, is also done.…

High Energy Physics - Theory · Physics 2017-11-22 Chandrasekhar Chatterjee , Indrajit Mitra , H. S. Sharatchandra

Static properties of an anharmonic potential model for planar two-electron quantum dots are investigated using a method which allows for the exact representation of the matrix elements, including the full Coulombic electron - electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Sebastian Schröter , Paul-Antoine Hervieux , Giovanni Manfredi , Johannes Eiglsperger , Javier Madroñero

The capacitance of a parallel plate capacitor can depend on applied magnetic field. Previous studies have identified capacitance changes induced via classical Lorentz force or spin-dependent Zeeman effects. Here we measure a magnetization…

Mesoscale and Nanoscale Physics · Physics 2016-08-08 J. A. Haigh , C. Ciccarelli , A. C. Betz , A. Irvine , V. Novák , T. Jungwirth , J. Wunderlich

It has been shown that Bernal stacked bilayer graphene (BLG) in a uniform magnetic field demonstrates integer quantum Hall effect with a zero Landau-level anomaly \cite{Geimbilayer}. In this article we consider such system in a two…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 Manisha Arora , Rashi Sachdeva , Sankalpa Ghosh

We study a model of massive photons with a parity invariant and non-local mass term. We identify a discrete symmetry of the classical equations of motion and show that this symmetry can be thought of as an electric-magnetic duality valid…

High Energy Physics - Theory · Physics 2016-08-03 Ansar Fayyazuddin

Graphene matter in a strong magnetic field, realizing one-dimensional quantum Hall channels, provides a unique platform for studying electron interference. Here, using the Landauer-B\"uttiker formalism along with the tight-binding model, we…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 M. Mirzakhani , N. Myoung , F. M. Peeters , H. C. Park

In this Letter the method of Lund is applied to formulate a variational principle for the motion of charged vortices in an effective non-linear Schr\"{o}dinger field theory describing finite size two-dimensional quantum Hall samples under…

High Energy Physics - Theory · Physics 2009-10-22 Theodore J. Allen

We demonstrate a spin to charge current conversion via magnon-phonon coupling and inverse Edelstein effect on the hybrid device Ni/Cu(Ag)/Bi$_{2}$O$_{3}$. The generation of spin current ($J_{s}\approx 10^{8}A/m^{2}$) due to magnon - phonon…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Mingran Xu , Jorge Puebla , Florent Auvray , Bivas Rana , Kouta Kondou , Yoshichika Otani

We investigate the structure of the double Ringel-Hall algebras associated with cyclic quivers and its connections with quantum loop algebras of $\mathfrak{gl}_n$, affine quantum Schur algebras and affine Hecke algebras. This includes their…

Quantum Algebra · Mathematics 2010-10-25 Bangming Deng , Jie Du , Qiang Fu

We investigate the electromagnetic duality properties of an abelian gauge theory on a compact oriented four-manifold by analysing the behaviour of a generalised partition function under modular transformations of the dimensionless coupling…

High Energy Physics - Theory · Physics 2008-11-26 David I. Olive , Marcos Alvarez

We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

High Energy Physics - Theory · Physics 2008-11-26 Erik Verlinde

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of…

High Energy Physics - Theory · Physics 2017-08-16 William Donnelly , Ben Michel , Aron Wall

The efficient detection of the magnetism in 2D antiferromagnetic (AFM) insulators is crucial for the advancement of 2D AFM spintronics and remains a challenging problem. In this letter, we introduce the magnon nonlinear Hall current, a…

Mesoscale and Nanoscale Physics · Physics 2025-05-27 Jinyang Ni , Yuanjun Jin , Guoqing Chang

Magnetic-field-induced phase transitions were studied with a two-dimensional electron AlGaAs/GaAs system. The temperature-driven flow diagram shows the features of the $\Gamma$(2) modular symmetry, which includes distorted flowlines and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. F. Huang , Y. H. Chang , H. H. Cheng , Z. P. Yang , H. D. Yeh , C. H. Hsu , C. -T. Liang , D. R. Hang , H. H. Lin