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The excess Hall conductivity, resulting from thermal fluctuations of the superconducting order parameter, is calculated for a layered superconductor for an arbitrarily strong in-plane electric field and a perpendicular magnetic field in the…

Superconductivity · Physics 2009-11-10 I. Puica , W. Lang

We calculate the Hall conductivity of a Sierpinski carpet using Kubo-Bastin formula. The quantization of Hall conductivity disappears when we increase the depth of the fractal. The Hall conductivity is no more proportional to the Chern…

Disordered Systems and Neural Networks · Physics 2020-01-22 Askar A. Iliasov , Mikhail I. Katsnelson , Shengjun Yuan

Fractionally charged elementary excitations, the quasi-electron and quasi-hole, are one of the hallmarks of the fractional Chern insulator (FCI). In this work, we observe that spontaneous spin polarization in twisted MoTe$_2$ leads to…

We apply the magneto-roton theory of the fractional quantum Hall effect to study the collective excitation spectrum of rotating dipolar Fermi gases. The predicted spectrum has a finite energy gap in the long wavelength limit and a roton…

Mesoscale and Nanoscale Physics · Physics 2008-08-22 Szu-Cheng Cheng

We estimate here the electrical and Hall conductivity using a quasiparticle approach for quark matter. We use a Boltzmann kinetic approach in presence of external magnetic field. We confront the results of model calculations with Lattice…

High Energy Physics - Phenomenology · Physics 2020-03-04 Arpan Das , Hiranmaya Mishra , Ranjita K. Mohapatra

The quantum of heat conductance of ballistic one-dimensional (1D) channels, being gQ=k0T with k0=pi^2*2kB^2/3h (T - temperature, kB - Boltzmann's constant, h - Planck's constant), is an important fundamental constant. While the quantization…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Mitali Banerjee , Moty Heiblum , Amir Rosenblatt , Yuval Oreg , Dima E. Feldman , Ady Stern , Vladimir Umansky

We study the nu=1/3 quantum Hall state in presence of the random disorder. We calculate the topologically invariant Chern number, which is the only quantity known at present to unambiguously distinguish between insulating and current…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. N. Sheng , Xin Wan , E. H. Rezayi , Kun Yang , R. N. Bhatt , F. D. M. Haldane

Electrical conductivity is the most fundamental charge transport parameter, and measurements of conductivity are a basic part of materials characterization for nearly all conducting materials. In thin films, conductivity is often measured…

Materials Science · Physics 2026-02-05 Yongyi Gao , Hio-Ieng Un , Yuxuan Huang , Henning Sirringhaus , Ian E. Jacobs

In light of recent experimental data indicating a substantial thermal Hall effect in square lattice antiferromagnetic Mott insulators, we investigate whether a simple Mott insulator can sustain a finite thermal Hall effect. We verify that…

Strongly Correlated Electrons · Physics 2025-06-26 Jixun K. Ding , Emily Z. Zhang , Wen O. Wang , Tessa Cookmeyer , Brian Moritz , Yong Baek Kim , Thomas P. Devereaux

We propose a generalized composite fermion (CF) theory for fractional Chern insulators (FCIs) by adapting the quantum mechanics approach of CFs. The theoretical framework naturally produces an effective CF Hamiltonian and a wavefunction…

Strongly Correlated Electrons · Physics 2025-09-12 Hao Jin , Junren Shi

We present an experimental study of mesoscopic, two-dimensional electronic systems at high magnetic fields. Our samples, prepared from a low-mobility InGaAs/InAlAs wafer, exhibit reproducible, sample specific, resistance fluctuations.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Peled , D. Shahar , Y. Chen , D. L. Sivco , A. Y. Cho

The low-energy collective excitations of semiconductors and insulators often couple strongly to light, allowing them to be probed optically. We argue here that in fractional Chern insulators intra-band collective excitations are dark in the…

Strongly Correlated Electrons · Physics 2025-05-05 Tobias M. R. Wolf , Yung-Chun Chao , Allan H. MacDonald , Jung Jung Su

We present a field theory of Jain's composite fermion model as generalised to the bilayer quantum Hall systems. We define operators which create composite fermions and write the Hamiltonian exactly in terms of these operators. This is seen…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. Rajaraman

Formulation of quantum Hall dynamics using von Neumann lattice of guiding center coordinates is presented. A topological invariant expression of the Hall conductance is given and a new mean field theory of the fractional Hall effect based…

Condensed Matter · Physics 2009-10-28 Kenzo Ishikawa , Nobuki Maeda

We clarify the origin of what is sometimes called the "topological anomalous Hall effect," provide analytical formulas to compute all the contributions to the Hall conductivity in the presence of Kondo-coupled spins and spin orbit coupling.…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

On the basis of the Chalker-Coddington network model, a numerical and analytical study is made of the statistics of point-contact conductances for systems in the integer quantum Hall regime. In the Hall plateau region the point-contact…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Martin Janssen , Marcus Metzler , Martin R. Zirnbauer

Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the \nu=1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific…

Strongly Correlated Electrons · Physics 2013-05-08 Norman Y. Yao , Alexey V. Gorshkov , Chris R. Laumann , Andreas M. Läuchli , Jun Ye , Mikhail D. Lukin

We derive and analyze the longitudinal and the anomalous Hall conductivity for a general momentum-block-diagonal two-band model. This model captures a broad spectrum of physically very different systems including N\'eel antiferromagnetic…

Strongly Correlated Electrons · Physics 2020-10-30 Johannes Mitscherling

The electronic circulator, and its close relative the gyrator, are invaluable tools for noise management and signal routing in the current generation of low-temperature microwave systems for the implementation of new quantum technologies.…

Mesoscale and Nanoscale Physics · Physics 2014-05-06 Giovanni Viola , David P. DiVincenzo

We show that in the limit of vanishing bare electron effective mass, and in the presence of particle-hole symmetric disorder (which can be of vanishing strength), the composite fermion Hall conductance is constrained to be $-{1\over…

Condensed Matter · Physics 2007-05-23 D-H Lee , Y. Krotov , J. Gan , S. A. Kivelson