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We report an order-N approach to compute the Kubo Hall conductivity for disorderd two-dimensional systems reaching tens of millions of orbitals, and realistic values of the applied external magnetic fields (as low as a few Tesla). A…

介观与纳米尺度物理 · 物理学 2015-06-23 Frank Ortmann , Nicolas Leconte , Stephan Roche

An efficient order$-N$ real-space Kubo approach is developed for the calculation of the thermal conductivity of complex disordered materials. The method, which is based on the Chebyshev polynomial expansion of the time evolution operator…

介观与纳米尺度物理 · 物理学 2015-05-20 Wu Li , Haldun Sevincli , Stephan Roche , Gianaurelio Cuniberti

Theoretical predictions and recent experimental results suggest one can engineer spin Hall effect in graphene by enhancing the spin-orbit coupling in the vicinity of an impurity. We use a Chebyshev expansion of the Kubo-Bastin formula to…

介观与纳米尺度物理 · 物理学 2016-07-01 Jose H. Garcia , Tatiana G. Rappoport

We have developed an efficient order-N real-space Kubo approach for the calculation of the phonon conductivity which outperforms state-of-the-art alternative implementations based on the Green's function formalism. The method treats…

介观与纳米尺度物理 · 物理学 2010-07-26 Wu Li , Haldun Sevincli , Gianaurelio Cuniberti , Stephan Roche

Here we introduce a numerical method for computing conductivity via the Kubo Formula for incommensurate 2D bilayer heterostructures using a tight-binding framework. We begin with deriving the momentum space formulation and Kubo Formula from…

介观与纳米尺度物理 · 物理学 2020-04-22 Daniel Massatt , Stephen Carr , Mitchell Luskin

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…

无序系统与神经网络 · 物理学 2013-10-15 Emil Prodan

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…

介观与纳米尺度物理 · 物理学 2009-10-28 Jean Desbois , Stéphane Ouvry , Christophe Texier

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…

强关联电子 · 物理学 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

In recent years, Chebyshev polynomial expansions of tight-binding Green's functions have been successfully applied to the study of a wide range of spectral and transport properties of materials. However, the application of the Chebyshev…

介观与纳米尺度物理 · 物理学 2023-02-03 Santiago Giménez de Castro , Aires Ferreira , D. A. Bahamon

The average of densities of currents and charges, induced by a weak electromagnetic field in spatially inhomogeneous are calculated at final temperatures. The Kubo formula for a conductivity tensor is generalized for spatially inhomogeneous…

介观与纳米尺度物理 · 物理学 2009-11-10 S. T. Pavlov , I. G. Lang , L. I. Korovin

We report an efficient numerical approach to compute the different components of the orbital Hall responses in disordered topological materials from the Berry phase theory of magnetization. The theoretical framework is based on the…

介观与纳米尺度物理 · 物理学 2024-10-30 Luis M. Canonico , Jose H. García , Stephan Roche

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…

数学物理 · 物理学 2026-05-20 Giovanna Marcelli , Lorenzo Pigozzi , Marcello Porta

Charge carrier transport in single-layer graphene with one-dimensional charged defects is studied theoretically. Extended charged defects, considered an important factor for mobility degradation in chemically-vapor-deposited graphene, are…

介观与纳米尺度物理 · 物理学 2013-08-15 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko , A. Ferreira

Kubo formula is used to get the d.c conductance of a statistical ensemble of two-dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working within a…

介观与纳米尺度物理 · 物理学 2009-10-31 J. A. Verges

This paper presents a unified approach to the modeling and computation of the Kubo conductivity of incommensurate bilayer heterostructures at finite temperature. Firstly, we derive an expression for the large-body limit of Kubo-Greenwood…

数值分析 · 数学 2020-09-24 Simon Etter , Daniel Massatt , Mitchell Luskin , Christoph Ortner

For the case of finite life-time broadening the standard Kubo-formula for the optical conductivity tensor is rederived in terms of Green's functions by using contour integrations, whereby finite temperatures are accounted for by using the…

材料科学 · 物理学 2009-10-31 Laszlo Szunyogh , Peter Weinberger

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…

强关联电子 · 物理学 2019-03-27 Assa Auerbach

The Hall conductivity given by the Kubo formula is a linear response of the quantum transverse transport to a weak electric field. It has been intensively studied for a quantum system without decoherence, but it is barely explored for…

量子物理 · 物理学 2014-10-14 H. Z. Shen , W. Wang , X. X. Yi

Using the well-known Kubo formula, we evaluate magnetotransport quantities like the collisional and Hall conductivities of the $\alpha$-T$_3$ model. The collisional conductivity exhibits a series of peaks at strong magnetic field. Each of…

介观与纳米尺度物理 · 物理学 2016-10-19 Tutul Biswas , Tarun Kanti Ghosh

Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost stationary state, we give a new proof that the Kubo formula for the Hall conductivity remains valid beyond…

数学物理 · 物理学 2023-02-06 Giovanna Marcelli , Domenico Monaco
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