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We study the spin-charge coupled transport in a two-dimensional electron system using the method of quasiclassical ($\xi$-integrated) Green's functions. In particular we derive the Eilenberger equation in the presence of a generic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Cosimo Gorini , Peter Schwab , Michael Dzierzawa

We describe a charge-conserving scatter-gather algorithm for particle-in-cell simulations on unstructured grids. Charge conservation is obtained from first principles, i.e., without the need for any post-processing or correction steps. This…

Numerical Analysis · Mathematics 2016-05-04 Haksu Moon , Fernando L. Teixeira , Yuri A. Omelchenko

The quantum behavior of charge carriers in semiconductor structures is often described in terms of the effective mass Schr\"{o}dinger equation, neglecting the rapid fluctuations of the wave function on the scale of the atomic lattice. For…

Computational Physics · Physics 2019-09-17 Andrea Cagliero , Lyes Rahmouni

We investigate coherent transport through open lateral quantum dots using recursive Green's function technique, incorporating exchange-correlation effects within local spin-density approximation (LSDA). At low electron densities the current…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Evaldsson , I. V. Zozoulenko

An approach is developed for the determination of the current flowing through a nanosize silicon-on-insulator (SOI) metal-oxide-semiconductor field-effect transistors (MOSFET). The quantum mechanical features of the electron transport are…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. D. Croitoru , V. N. Gladilin , V. M. Fomin , J. T. Devreese , W. Magnus , W. Schoenmaker , B. Soree

In this work we put forward an exact one-particle framework to study nano-scale Josephson junctions out of equilibrium and propose a propagation scheme to calculate the time-dependent current in response to an external applied bias. Using a…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Gianluca Stefanucci , Enrico Perfetto , Michele Cini

In this article we propose two novel 3D finite element models, denoted method A and B, for electron and hole Drift-Diffusion (DD) current densities. Method A is based on a primal-mixed formulation of the DD model as a function of the…

Numerical Analysis · Mathematics 2014-12-12 Aurelio Mauri , Andrea Bortolossi , Giovanni Novielli , Riccardo Sacco

We introduce an efficient and accurate staggered-grid finite-difference (SGFD) method to solve the two-dimensional elastic wave equation. We use a coupled first-order stress-velocity formulation. In the standard implementation of SGFD…

Numerical Analysis · Mathematics 2020-12-15 Wenquan Liang , Yanfei Wang , Ursula Iturrarán-Viveros

We describe a method and its implementation for calculating electronic structure and electron transport without approximating the structure using periodic super-cells. This effectively removes spurious periodic images and interference…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Nick Papior , Gaetano Calogero , Susanne Leitherer , Mads Brandbyge

In this work, we propose an efficient computational scheme for first-principle quantum transport simulations to evaluate the open-boundary conditions. Its partitioning differentiates from conventional methods in that the contact self-energy…

Materials Science · Physics 2021-01-01 Guido Gandus , Youseung Lee , Daniele Passerone , Mathieu Luisier

Strongly interacting electron systems can provide insight into quantum many-body phenomena, such as Mott insulating behavior and spin liquidity, facilitating semiconductor optimization. The Fermi-Hubbard model is the prototypical model used…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Sumedh Vangara

We present a first-principles-based (second-principles) scheme that permits large-scale materials simulations including both atomic and electronic degrees of freedom on the same footing. The method is based on a predictive…

Materials Science · Physics 2016-06-08 Pablo García-Fernández , Jacek C. Wojdeł , Jorge Íñiguez , Javier Junquera

Accurate determination of carrier transport properties in two-dimensional (2D) materials is critical for designing high-performance nano-electronic devices and quantum information platforms. While first-principles calculations effectively…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Sathwik Bharadwaj , Ashwin Ramasubramaniam , L. R. Ram-Mohan

The outstanding transport properties expected at the edge of two-dimensional time-reversal invariant topological insulators have proven to be challenging to realize experimentally, and have so far only been demonstrated in very short…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 Luca Vannucci , Thomas Olsen , Kristian S. Thygesen

This is the second part of a project on the foundations of first-principle calculations of the electron transport in crystals at finite temperatures, aiming at a predictive first-principles platform that combines ab-initio molecular…

Computational Physics · Physics 2020-09-10 Thomas D. Kühne , Julian Heske , Emil Prodan

We present numerical results of electric conductivity $\sigma_{el}$ of a fluid obtained solving the Relativistic Transport Boltzmann equation in a box with periodic boundary conditions. We compute $\sigma_{el}$ using two methods: the…

High Energy Physics - Phenomenology · Physics 2014-12-10 A. Puglisi , S. Plumari , V. Greco

The aim of this work is to investigate semi-Lagrangian approximation schemes on unstructured grids for viscous transport and conservative equations with measurable coefficients that satisfy a one-sided Lipschitz condition. To establish the…

Numerical Analysis · Mathematics 2025-05-15 Fabio Camilli , Adriano Festa , Luciano Marzufero

We demonstrate the practical feasibility of calculating transport coefficients such as the viscosity of liquids completely from first principles using the Green-Kubo relations. Results presented for liquid aluminum are shown to have a…

Condensed Matter · Physics 2009-10-31 Dario Alfe` , Michael J. Gillan

We present a method to analyze the results of first-principles based calculations of electronic currents including inelastic electron-phonon effects. This method allows us to determine the electronic and vibrational symmeties in play, and…

Mesoscale and Nanoscale Physics · Physics 2008-06-11 Magnus Paulsson , Thomas Frederiksen , Hiromu Ueba , Nicolas Lorente , Mads Brandbyge

We study a tight binding model including both on site disorder and coupling of the electrons to randomly oriented magnetic moments. The transport properties are calculated via the Kubo-Greenwood scheme, using the exact eigenstates of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sanjeev Kumar , Pinaki Majumdar