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An efficient low-order scaling method is presented for large-scale electronic structure calculations based on the density functional theory using localized basis functions, which directly computes selected elements of the density matrix by…

Strongly Correlated Electrons · Physics 2010-05-04 Taisuke Ozaki

We show that cluster algorithms for quantum models have a meaning independent of the basis chosen to construct them. Using this idea, we propose a new method for measuring with little effort a whole class of Green's functions, once a…

Statistical Mechanics · Physics 2015-06-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

A self-consistent method for calculating electron transport through a molecular device is proposed. It is based on density functional theory electronic structure calculations under periodic boundary conditions and implemented in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

We present an algorithm for measurement of the Green's function in the hybridization expansion continuous-time quantum Monte-Carlo based on continuous estimators. Compared to the standard method, the present algorithm has similar or better…

Strongly Correlated Electrons · Physics 2013-06-17 Pavel Augustinský , Jan Kuneš

The many-body Green's function theory with the random-phase approximation is applied to the study of easy-plane spin-1/2 ferromagnets in an in-plane magnetic field. We demonstrate that the usual procedure, in which only the three Green's…

Strongly Correlated Electrons · Physics 2009-11-13 Daisuke Yamamoto , Synge Todo , Susumu Kurihara

A quantum-mechanical calculation of the single-particle level (s.p.l.) density $g(\epsilon)$ is carried on by using the connection with the single-particle Green's function. The relation between the imaginary part of Green's function and…

Nuclear Theory · Physics 2007-05-23 I. Stetcu

Including finite-temperature effects from the electronic degrees of freedom in electronic structure calculations of semiconductors and metals is desired; however, in practice it remains exceedingly difficult when using zero-temperature…

Chemical Physics · Physics 2016-11-24 Alicia Rae Welden , Alexander A. Rusakov , Dominika Zgid

In geophysical fluid dynamics, the screened Poisson equation appears in the shallow-water, quasi geostrophic equations. Recently, many attempts have been made to solve those equations on the sphere using different numerical methods. These…

Numerical Analysis · Mathematics 2019-11-26 Ramy Tanios , Samah El Mohtar , Omar Knio , Issam Lakkis

Development of experimental techniques at nanoscale resulted in ability to perform spectroscopic measurements on single-molecule current carrying junctions. These experiments are natural meeting point for research fields of optical…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Haoran Sun , Upendra Harbola , Shaul Mukamel , Michael Galperin

In this work a Green function approach for scattering quantum walks is developed. The exact formula has the form of a sum over paths and always can be cast into a closed analytic expression for arbitrary topologies and position dependent…

Quantum Physics · Physics 2011-12-13 F. M. Andrade , M. G. E. da Luz

The study of electronic transitions within a molecule connected to the absorption or emission of light is a common task in the process of the design of new materials. The transitions are complex quantum mechanical processes and a detailed…

Human-Computer Interaction · Computer Science 2021-06-03 Talha Bin Masood , Signe Sidwall Thygesen , Mathieu Linares , Alexei I. Abrikosov , Vijay Natarajan , Ingrid Hotz

This paper presents a second-kind surface integral equation method for the numerical solution of frequency-domain electromagnetic scattering problems by locally perturbed layered media in three spatial dimensions. Unlike standard…

Numerical Analysis · Mathematics 2022-11-10 Rodrigo Arrieta , Carlos Pérez-Arancibia

In this paper we shall propose a simple scheme for calculating Green's functions for photons propagating in complex structured dielectrics or other photonic systems. The method is based on an extension of the finite difference time domain…

Condensed Matter · Physics 2009-10-31 A. J. Ward , J. B. Pendry

We explore electron transport in a thin cylinder, attached to two semi-infinite one-dimensional metallic electrodes, in the presence of both longitudinal and transverse magnetic fluxes. A simple tight-binding model is used to describe the…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 Santanu K. Maiti

Korringa-Kohn-Rostoker (KKR) Green's function, multiple-scattering theory is an efficient site-centered, electronic-structure technique for addressing an assembly of $N$ scatterers. Wave-functions are expanded in a spherical-wave basis on…

Materials Science · Physics 2015-06-22 Aftab Alam , Suffian N. Khan , Andrei Smirnov , D. M. Nicholson , Duane D. Johnson

Multidimensional coherent optical spectroscopy is one of the most powerful tools for investigating complex quantum mechanical systems. While it was conceived decades ago in magnetic resonance spectroscopy using micro- and radio-waves, it…

In this paper we derive relations between the cross-correlation of ambient noises recorded at two different points and the Green's function of the elastic waves in a medium with viscous damping. The Green's function allows to estimate…

Other Condensed Matter · Physics 2011-03-25 Mikael Carmona , Olivier Michel , Jean-Louis Lacoume , Nathalie Sprynski , Barbara Nicolas

In this work we compare two fundamentally different approaches to the electronic transport in deformed graphene: a) the condensed matter approach in which current flow paths are obtained by applying the non-equilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2016-05-23 Thomas Stegmann , Nikodem Szpak

The Green's function has been an indispensable tool to study many-body systems that remain one of the biggest challenges in modern quantum physics for decades. The complicated calculation of Green's function impedes the research of…

Quantum Physics · Physics 2022-05-04 Jie Zhu , Yuya O. Nakagawa , Chuan-Feng Li , Guang-Can Guo , Yong-Sheng Zhang

We establish, through numerical calculations and comparisons with a recursive Green's function based implementation of the Landauer-B\"uttiker formalism, an efficient method for studying Anderson localization in quasi-one-dimensional and…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 Andreas Uppstu , Zheyong Fan , Ari Harju