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Frequency dependent electronic transport is investigated for a two-dimensional disordered system in the presence of a strong perpendicular static magnetic field. The ac-conductivity is calculated numerically from Kubo's linear response…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Bäker , L. Schweitzer

We derive from first principles the Kubo formulas for the stress-stress response function at zero wavevector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.…

Statistical Mechanics · Physics 2013-05-30 Barry Bradlyn , Moshe Goldstein , N. Read

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

The linear conductivity tensor for generic homogeneous, microscopic quantum models was formulated as a noncommutative Kubo formula in Refs. \cite{BELLISSARD:1994xj,Schulz-Baldes:1998vm,Schulz-Baldes:1998oq}. This formula was derived…

Disordered Systems and Neural Networks · Physics 2013-10-15 Emil Prodan

We consider the time-reversal odd dynamics of the bilayer graphene at low energies in the quantum Hall regime. A generating functional for the effective action that captures the electromagnetic response to all orders in momentum and…

Mesoscale and Nanoscale Physics · Physics 2021-02-04 Wei-Han Hsiao

We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between quantum Hall phases. We consider the…

Mathematical Physics · Physics 2026-05-20 Giovanna Marcelli , Lorenzo Pigozzi , Marcello Porta

We calculate the optical Hall conductivity within the Kubo formalism for systems with gapped spectral nodes, where the latter have a power-law dispersion with exponent n. The optical conductivity is proportional to n and there is a…

Materials Science · Physics 2013-02-15 A. Hill , A. Sinner , K. Ziegler

Conductivities and Hall coefficients of two dimensional hard core bosons are calculated using the thermodynamic expansions of Kubo formulas. At temperatures above the superfluid transition, the resistivity rises linearly and is weakly…

Strongly Correlated Electrons · Physics 2024-01-12 Sauri Bhattacharyya , Ayush De , Snir Gazit , Assa Auerbach

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Woelfle , K. A. Muttalib

Exact formulas for the Hall coefficient, modified Nernst coefficient, and thermal Hall coefficient of metals are derived from the Kubo formula. These coefficients depend exclusively on equilibrium (time independent) susceptibilities, which…

Strongly Correlated Electrons · Physics 2019-03-27 Assa Auerbach

The quantum Hall effects in the sliding bilayer graphene and AAB-stacked trilayer system are investigated by the Kubo formula and the generalized tight-binding model. The various stacking configurations can greatly diversify the magnetic…

Materials Science · Physics 2017-11-22 Thi-Nga Do , Cheng-Peng Chang , Po-Hsin Shih , Ming-Fa Lin

We calculate the Aslamazov-Larkin term of the conductivity in the presence of a magnetic field applied along the c-axis from the time-dependent Ginzburg-Landau equation perturbatively using two approaches. In the first a uniform electric…

Superconductivity · Physics 2016-08-31 T. Blum , M. A. Moore

We propose an extensive report on the simulation of electronic transport in 2D graphene in presence of structural defects. Amongst the large variety of such defects in sp$^2$ carbon-based materials, we focus on the Stone-Wales defect and on…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Aurelien Lherbier , Simon M. -M. Dubois , Xavier Declerck , Yann-Michel Niquet , Stephan Roche , Jean-Christophe Charlier

We report on mesoscopic transport fingerprints in disordered graphene caused by strain-field induced pseudomagnetic Landau levels (pLLs). Efficient numerical real space calculations of the Kubo formula are performed for an ordered network…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Mikkel Settnes , Nicolas Leconte , Jose E. Barrios-Vargas , Antti-Pekka Jauho , Stephan Roche

The frequency dependent transport is investigated for a two-dimensional disordered system under QHE conditions. The real and imaginary parts of the conductivity are calculated numerically in linear response using a recursive Green function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Bäker , L. Schweitzer

We calculate the resistance and mean free path in long metallic and semiconducting silicon nanowires (SiNWs) using two different numerical approaches: A real space Kubo method and a recursive Green's function method. We compare the two…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Troels Markussen , Riccardo Rurali , Mads Brandbyge , Antti-Pekka Jauho

In recent years, the spin Hall effect has received great attention because of its potential application in spintronics and quantum information processing and storage. However, this effect is usually studied under the external homogeneous…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Anwei Zhang , Jun-Won Rhim

Quantum transport properties of disordered graphene with structural defects (Stone-Wales and divacancies) are investigated using a realistic {\pi}-{\pi}* tight-binding model elaborated from ab initio calculations. Mean free paths and…

In this paper, we review and substantially develop the recently proposed "Microscopic Response Method", which has been devised to compute transport coefficients and especially associated temperature dependence in complex materials. The…

Statistical Mechanics · Physics 2023-07-19 MingLiang Zhang , D. A. Drabold

It is shown that the interplay of long-range disorder and in-plane magnetic field gives rise to an out-of-plane spin polarization and a finite spin Hall conductivity of the two-dimensional electron gas in the presence of Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Milletari' , R. Raimondi , P. Schwab