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We describe how to use quantum linear algebra to simulate a physically realistic model of disordered non-interacting electrons. The physics of disordered electrons outside of one dimension challenges classical computation due to the…

Quantum Physics · Physics 2025-04-25 Jielun Chen , Garnet Kin-Lic Chan

In the Comment by Bordag et al. [Phys. Rev. B 113, 207401 (2026) and ArXiv:2506.10792], concerns are raised regarding the validity of the results presented in [Phys. Rev. B 111, 115428 (2025)], where the theoretical descriptions of the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Pablo Rodriguez-Lopez , Jian-Sheng Wang , Mauro Antezza

On the basis of the Kubo formula we evaluated the optical conductivity of a graphene sheet. The full behavior of frequency as well as temperature dependence of the optical conductivity is presented. We show that the anisotropy of…

Mesoscale and Nanoscale Physics · Physics 2008-10-07 Chao Zhang , Lei Chen , Zhongshui Ma

A new diagrammatic quantum Monte Carlo approach is proposed to deal with the imaginary time propagator involving both dynamic disorder (i.e., electron-phonon interactions) and static disorder of local or nonlocal nature in a unified and…

Materials Science · Physics 2026-04-15 Yu-Chen Wang , Yi Zhao

We calculate the longitudinal and spin-Hall conductances in four-lead bridges with Rashba - Dresselhaus spin-orbit interactions. Numerical results are obtained both within Landauer-Buttiker formalism and by the direct evaluation of the Kubo…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Catalin Pascu Moca , D. C. Marinescu

We report a study of a disorder-dependent real-space representation of the quantum geometry in topological systems. Thanks to the development of an efficient linear-scaling numerical methodology based on the kernel polynomial method, we can…

Disordered Systems and Neural Networks · Physics 2025-06-06 Jorge Martínez Romeral , Aron W. Cummings , Stephan Roche

Transport coefficients in non-conformal second-order hydrodynamics can be classified as either dynamical or thermodynamical. We derive Kubo formuale for the thermodynamical coefficients and compute them at leading perturbative order in a…

High Energy Physics - Phenomenology · Physics 2012-12-05 Guy D. Moore , Kiyoumars A. Sohrabi

We obtain a set of general formulae for determining magnetizations, including the usual electromagnetic magnetization as well as the gravitomagnetic energy magnetization. The magnetization corrections to the thermal transport coefficients…

Statistical Mechanics · Physics 2011-12-15 Tao Qin , Qian Niu , Junren Shi

We introduce a quantum Monte Carlo technique to calculate exactly at finite temperatures the Green function of a fermionic quantum impurity coupled to a bosonic field. While the algorithm is general, we focus on the single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liliana Arrachea , Marcelo J. Rozenberg

Disorder scattering plays important roles in quantum transport as well as various Hall effects, including the second-order nonlinear Hall effect induced by Berry curvature dipole. Calculation of disorder-averaged transport properties…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Gaoyang Li , MiaoMiao Wei , Fuming Xu , Jian Wang

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

Materials Science · Physics 2012-12-10 S. Ciuchi , S. Fratini

We present an experimental test of Kubo formula performed on a nonlinear quantum conductor, a Superconductor-Insulator-Superconductor tunnel junction, driven far from equilibrium by a DC voltage bias. We implement the proposal of Lesovik…

Mesoscale and Nanoscale Physics · Physics 2025-11-13 Zubair Iftikhar , Jonas Müller , Yuri Mukharsky , Philippe Joyez , Patrice Roche , Carles Altimiras

Transport properties of the multicomponent quantum many-body systems obeying Haldane's fractional exclusion statistics are studied in one dimension. By computing the finite-size spectrum under twisted boundary conditions, we explicitly…

Condensed Matter · Physics 2009-10-28 T. Fukui , N. Kawakami

Real-world physical systems, like composite materials and porous media, exhibit complex heterogeneities and multiscale nature, posing significant computational challenges. Computational homogenization is useful for predicting macroscopic…

Computational Engineering, Finance, and Science · Computer Science 2024-07-29 Yuki Sato , Yuto Lewis Terashima , Ruho Kondo

The calculation of thermal conductivity in insulating solids at temperatures below the Debye temperature is problematic, due to the breakdown of classical and semi-classical approaches. In this work, we present a fully quantum methodology…

Statistical Mechanics · Physics 2026-02-19 Vladislav Efremkin , Stefano Mossa , Jean-Louis Barrat , Markus Holzmann

Transport properties of single-layer graphene with correlated one-dimensional defects are studied using the time-dependent real-space Kubo-Greenwood formalism. Such defects are present in epitaxial graphene, comprising atomic terraces and…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko

In third-order nonlinear transport, a voltage can be measured in response to the cube of a driving current as a result of the quantum geometric effects, which has attracted tremendous attention. However, in realistic materials where…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Zhen-Hao Gong , Zhi-Hao Wei , Hai-Zhou Lu , X. C. Xie

We study the two-dimensional disordered topological superconductor with Hubbard interactions. When the magnitude of the pairing potential is tuned to special values, this interacting model is exactly solvable even when disorders are imposed…

Disordered Systems and Neural Networks · Physics 2024-11-22 Yiting Deng , Yan He

In recent years, predictive computational modeling has become a cornerstone for the study of fundamental electronic, optical, and thermal properties in complex forms of condensed matter, including Dirac and topological materials. The…

Currently, the most common method to calculate transport properties for materials under extreme conditions is based on the phenomenological Kubo-Greenwood method. The results of an inquiry into the justification and context of that model…

Statistical Mechanics · Physics 2018-05-09 James Dufty , Jeffrey Wrighton , Kai Luo , S. B. Trickey