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Hall conductivity for the intrinsic anomalous quantum Hall effect in homogeneous systems is given by the topological invariant composed of the Green function depending on momentum of quasiparticle. This expression reveals correspondence…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 M. Selch , M. Suleymanov , C. X. Zhang , M. A. Zubkov

We show that the chiral kagome ice manifold exhibits an anomalous integer quantum Hall effect (IQHE) when coupled to itinerant electrons. Although electron-mediated interactions select a magnetically ordered ground state, the full ice…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Gia-Wei Chern , Armin Rahmani , Ivar Martin , Cristian D. Batista

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

The method for calculating the ground-state energy and the optical conductivity spectra is developed for a system of a finite number of interacting arbitrary-coupling polarons in a spherical quantum dot with a parabolic confinement…

Strongly Correlated Electrons · Physics 2009-11-10 S. N. Klimin , V. M. Fomin , F. Brosens , J. T. Devreese

The behaviour of the critical point between quantum Hall plateaux, as the Zeeman energy is varied, is analysed using modular symmetry of the Hall conductivities following from the law of corresponding states. Flow diagrams for the…

Strongly Correlated Electrons · Physics 2012-03-07 Brian P. Dolan

Two- and three-dimensional electron gases with a uniform neutralizing background are studied at negative compressibility. Parametrized expressions for the dielectric function are used to access this strong-coupling regime, where the…

Condensed Matter · Physics 2009-11-07 Adriaan M. J. Schakel

The normal state conductivity of a system of interacting large polarons is calculated within the Random Phase approximation and some numerical results are presented. The behaviour of the optical absorption as a function of the charge…

Materials Science · Physics 2007-05-23 V. Cataudella , G. De Filippis , G. Iadonisi

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

Based upon spin-lattice interaction, we propose a theoretical model for the phonon Hall effect in paramagnetic dielectrics. The thermal Hall conductivity is calculated by using the Kubo formula. Our theory reproduces the essential…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Sheng , D. N. Sheng , C. S. Ting

We provide a short proof of the quantisation of the Hall conductance for gapped interacting quantum lattice systems on the two-dimensional torus. This is not new and should be seen as an adaptation of the proof of [1], simplified by making…

Mathematical Physics · Physics 2018-12-24 Sven Bachmann , Alex Bols , Wojciech De Roeck , Martin Fraas

In a fluid subject to a magnetic field the viscous stress tensor has a dissipationless antisymmetric component controlled by the so-called Hall viscosity. We here propose an all-electrical scheme that allows a determination of the Hall…

Mesoscale and Nanoscale Physics · Physics 2017-11-06 Francesco M. D. Pellegrino , Iacopo Torre , Marco Polini

The spin Hall effect does not generally result in a charge Hall voltage. We predict that in systems with inhomogeneous electron density in the direction perpendicular to main current flow, the spin Hall effect is instead accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2008-03-23 Yu. V. Pershin , M. Di Ventra

We examine the normal-state temperature and doping dependence of the Hall coefficient in the context of a pair-fluctuation scenario, based on a model where itinerant electrons are hybridized with localized electron pairs via a charge…

Superconductivity · Physics 2009-10-31 Alfonso Romano , Julius Ranninger

Physical properties of anisotropic compressible quantum Hall states and their implications to integer quantum Hall effect are studied based on a mean field theory on the von Neumann lattice. It is found that the Hall gas has unusual…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Ishikawa , N. Maeda

We present a theory of Hall effect in granular systems at large tunneling conductance $g_{T}\gg 1$. Hall transport is essentially determined by the intragrain electron dynamics, which, as we find using the Kubo formula and diagrammatic…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 Maxim Yu. Kharitonov , Konstantin B. Efetov

In order to obtain a local description of the short distance physics of fractionally quantized Hall states for realistic (e.g. Coulomb) interactions, I propose to view the zeros of the ground state wave function, as seen by an individual…

Condensed Matter · Physics 2016-08-31 Martin Greiter

We consider charge transport for interacting many-body systems with a gapped ground state subspace which is finitely degenerate and topologically ordered. To any locality-preserving, charge-conserving unitary that preserves the ground state…

Mathematical Physics · Physics 2022-04-04 Sven Bachmann , Alex Bols , Wojciech De Roeck , Martin Fraas

On the basis of a quantum-statistical approach to the electrical conductivity of nonideal plasmas we derive analytical results in the classical low-density regime, in the degenerate Born limit, and for the contribution of the Debye-Onsager…

Plasma Physics · Physics 2016-09-08 A. Esser , R. Redmer , G. Röpke

We reexamine the charge transport induced by a weak electric field in two-dimensional quantum Hall systems in a finite, periodic box at very low temperatures. The resulting linear response coefficients consist of the time-independent term…

Mathematical Physics · Physics 2007-05-23 Tohru Koma

Using simultaneous measurements of the attenuation and velocity of surface acoustic waves propagating along GaAs/Al$_{0.3}$Ga$_{0.7}$As heterostructures, complex ac conductance of the latters has been determined. In the magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , V. V. Preobrazenskii , A. I. Toropov , Y. M. Galperin