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By employing a real-space formulation of the Kubo-Greenwood equation based on a Green's function embedding technique combined with the fully relativistic spin-polarized Korringa-Kohn-Rostoker method a detailed investigation of the…

Materials Science · Physics 2009-11-10 K. Palotas , B. Lazarovits , L. Szunyogh , P. Weinberger

We develop a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Shmuel Gurvitz

We report the inclusion of electron-electron correlation in the calculation of transport properties within an ab initio scheme. A key step is the reformulation of Landauer's approach in terms of an effective transmittance for the…

Strongly Correlated Electrons · Physics 2009-11-10 A. Ferretti , A. Calzolari , R. Di Felice , F. Manghi , M. J. Caldas , M. Buongiorno Nardelli , E. Molinari

We show that the central finite difference formula for the first and the second derivative of a function can be derived, in the context of quantum mechanics, as matrix elements of the momentum and kinetic energy operators using, as a basis…

Quantum Physics · Physics 2017-11-21 Domenico Ninno , Giovanni Cantele , Fabio Trani

A two miniband model for electron transport in semiconductor superlattices that includes scattering and interminiband tunnelling is proposed. The model is formulated in terms of Wigner functions in a basis spanned by Pauli matrices,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. Alvaro , L. L. Bonilla

We develop a method for the calculation of ballistic transport from first principles. The multiple scattering screened Korringa-Kohn-Rostoker (KKR) method is combined with a Green's function formulation of the Landauer approach for the…

Materials Science · Physics 2009-11-10 Ph. Mavropoulos , N. Papanikolaou , P. H. Dederichs

Theories describing electrical transport in semiconductor superlattices can essentially be divided in three disjoint categories: i) transport in a miniband; ii) hopping between Wannier-Stark ladders; and iii) sequential tunneling. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andreas Wacker , Antti-Pekka Jauho

We consider the electron transport properties through fully interacting nanoscale junctions beyond the linear-response regime. We calculate the current flowing through an interacting region connected to two interacting leads, with…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 H. Ness , L. K. Dash

The radiative transfer equation is a fundamental equation in transport theory and applications, which is a 5-dimensional PDE in the stationary one-velocity case, leading to great difficulties in numerical simulation. To tackle this…

Numerical Analysis · Mathematics 2022-01-05 Jianguo Huang , Yue Yu

We study the nonlinear elastic quantum electronic transport properties of nanoscopic devices using the Nonequilibrium Green's function (NEGF) method. The Green's function method allows us to expand the $I-V$ characteristics of a given…

Mesoscale and Nanoscale Physics · Physics 2009-07-14 Alexis R. Hernández , Caio H. Lewenkopf

We introduce a computational framework for first-principles density matrix transport within the Wigner function formalism to predict transport of quantum-mechanical degrees of freedom such as spin over long time and length scales. This…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Mayada Fadel , Joshua Quinton , Mani Chandra , Mayank Gupta , Yuan Ping , Ravishankar Sundararaman

Scattering theory is employed to derive a Landauer-type formula for the spin and the charge currents, through a finite region where spin-orbit interactions are effective. It is shown that the transmission matrix yields the spatial direction…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 O. Entin-Wohlman , A. Aharony , Y. Tokura , Y. Avishai

Directly computing mass transport coefficients in stochastic models requires integrating over time the equilibrium correlations between atomic displacements. Here, we show how to accelerate the computations via \green{correlation splitting…

Materials Science · Physics 2021-12-06 Manuel Athènes , Gilles Adjanor , Jérôme Creuze

We have developed an efficient computational scheme utilizing the real-space finite-difference formalism and the projector augmented-wave (PAW) method to perform precise first-principles electronic-structure simulations based on the density…

Quantum-confined semiconductor structures are the cornerstone of modern-day electronics. Spatial confinement in these structures leads to formation of discrete low-dimensional subbands. At room temperature, carriers transfer among different…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 I. Knezevic , E. B. Ramayya , D. Vasileska , S. M. Goodnick

We present a simple and efficient approximation to the electron-phonon scattering rate suitable for high-throughput screening of candidate materials for thermoelectric devices, based on electronic transport. The method is applied to…

Materials Science · Physics 2015-11-30 Georgy Samsonidze , Boris Kozinsky

We present a comprehensive first-principles study of the ballistic transport properties of low dimensional nanostructures such as linear chains of atoms (Al, C) and carbon nanotubes in presence of defects. A novel approach is introduced…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Arrigo Calzolari , Nicola Marzari , Ivo Souza , Marco Buongiorno Nardelli

A local-orbital based ab initio approach to obtain the Green function for large heterogeneous systems is developed. First a Green function formalism is introduced based on exact diagonalization. Then the self energy is constructed from an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Albrecht , A. Schnurpfeil , G. Cuniberti

This article devises a new numerical method for first-order transport problems by using the primal-dual weak Galerkin (PD-WG) finite element method recently developed in scientific computing. The PD-WG method is based on a variational…

Numerical Analysis · Mathematics 2020-07-15 Chunmei Wang , Junping Wang

We investigate the nonstationary electronic transport in noninteracting nanostructures driven by a finite bias and time-dependent signals applied at their contacts to the leads. The systems are modelled by a tight-binding Hamiltonian and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Valeriu Moldoveanu , Vidar Gudmundsson , Andrei Manolescu