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We present a numerical method to solve the optimal transport problem with a quadratic cost when the source and target measures are periodic probability densities. This method is based on a numerical resolution of the corresponding…

Numerical Analysis · Mathematics 2011-03-02 Louis-Philippe Saumier , Martial Agueh , Boualem Khouider

We present an original multi-state projective diabatization scheme based on the Green's function formalism that allows the systematic mapping of many-body ab initio calculations onto effective excitonic models. This method inherits the…

Chemical Physics · Physics 2024-08-07 Mauricio Rodríguez-Mayorga , Xavier Blase , Ivan Duchemin , Gabriele D'Avino

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 present an implementation of the ballistic Landauer-B\"uttiker transport scheme in one-dimensional systems based on density functional theory (DFT) calculations within the full-potential linearized augmented plane-wave (FLAPW) method. In…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Björn Hardrat , Nengping Wang , Frank Freimuth , Yuriy Mokrousov , Stefan Heinze

We study the radial flow of retarded Green's function of energy-momentum tensor and $R$-current of dual gauge theory in presence of generic higher derivative terms in bulk Lagrangian. These are first order non-linear Riccati equations. We…

High Energy Physics - Theory · Physics 2014-11-21 Nabamita Banerjee , Suvankar Dutta

Entropy regularized optimal transport and its multi-marginal generalization have attracted increasing attention in various applications, in particular due to efficient Sinkhorn-like algorithms for computing optimal transport plans. However,…

Optimization and Control · Mathematics 2023-01-25 Florian Beier , Johannes von Lindheim , Sebastian Neumayer , Gabriele Steidl

The intrinsic mobility degradation coefficient, contact resistance and the transconductance parameter of graphene field-effect transistors (GFETs) are extracted for different technologies by considering a novel transport model embracing…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 Anibal Pacheco-Sanchez , Nikolaos Mavredakis , Pedro C. Feijoo , David Jiménez

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

We study a class of second-order elliptic equations of divergence form, with discontinuous coefficients and data, which models the conductivity problem in composite materials. We establish optimal gradient estimates by showing the explicit…

Analysis of PDEs · Mathematics 2016-06-10 Hongjie Dong , Haigang Li

We present a real-space method for first-principles nano-scale electronic transport calculations. We use the non-equilibrium Green's function method with density functional theory and implement absorbing boundary conditions (ABCs, also…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 Baruch Feldman , Tamar Seideman , Oded Hod , Leeor Kronik

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

The thermal properties of graphene-based materials are theoretically investigated. The fourth-nearest neighbor force constant method for phonon properties is used in conjunction with both the Landauer ballistic and the non-equilibrium…

Materials Science · Physics 2012-02-10 Hossein Karamitaheri , Neophytos Neophytou , Mahdi Pourfath , Hans Kosina

In this paper, we study the quantum properties of a bilayer graphene with (asymmetry) line defects. The localized states are found around the line defects. Thus, the line defects on one certain layer of the bilayer graphene can lead to an…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Xiao-Ming Zhao , Ya-Jie Wu , Chan Chen , Ying Liang , Su-Peng Kou

Monitoring electronic properties of 2D materials is an essential step to open a way for applications such as electronic devices and sensors. From this perspective, Bernal bilayer graphene (BLG) is a fairly simple system that offers great…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 Jouda Jemaa Khabthani , Ahmed Missaoui , Didier Mayou , Guy Trambly de Laissardière

We present a method to systematically study multi-photon transmission in one dimensional systems comprised of correlated quantum emitters coupled to input and output waveguides. Within the Green's function approach of the scattering matrix…

Quantum Physics · Physics 2017-05-24 Tian Feng See , Changsuk Noh , Dimitris G. Angelakis

We derive a closed equation of motion for the one particle density matrix of a quantum system coupled to multiple baths using the Redfield master equation combined with a mean-field approximation. The steady-state solution may be found…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Zekun Zhuang , Jaime Merino , J. B. Marston

In this work, the low rank approximation concept is extended to the non-equilibrium Green's function (NEGF) method to achieve a very efficient approximated algorithm for coherent and incoherent electron transport. This new method is applied…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Lang Zeng , Yu He , Michael Povolotsky , XiaoYan Liu , Gerhard Klimeck , Tillmann Kubis

We have performed a theoretical study of electronic transport in single and bilayer graphene based on the standard linear-response (Kubo) formalism and continuum-model descriptions of the graphene band structure. We are focusing especially…

Mesoscale and Nanoscale Physics · Physics 2010-02-25 J. Z. Bernad , U. Zuelicke , K. Ziegler

We propose a new procedure by using the recursive Green's functions which remove all the repetition terms from the time-independent perturbation series for finite-level quantum systems. These Green's functions are introduced as a…

Quantum Physics · Physics 2019-04-02 K. Ishida

We demonstrate that a simple phenomenological approach can be used to simulate electronic conduction in molecular wires under thermal effects induced by the surrounding environment. This "Landauer-B\"uttiker's probe technique" can properly…

Chemical Physics · Physics 2015-08-25 Michael Kilgour , Dvira Segal