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Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must…

Materials Science · Physics 2024-12-12 Michael A. J. Mitchell , Teresa Del Aguila Ferrandis , Stefano Sanvito

We present a new charge self-consistent scheme combining Density Functional and Dynamical Mean Field Theory, which uses Green's function of multiple scattering-type. In this implementation the many-body effects are incorporated into the…

Strongly Correlated Electrons · Physics 2017-10-11 A. Östlin , L. Vitos , L. Chioncel

Despite recent advances, systematic quantitative treatment of the electron correlation problem in extended systems remains a formidable task. Systematically improvable Green's function methods capable of quantitatively describing weak and…

Chemical Physics · Physics 2016-11-15 Alexander A. Rusakov , Dominika Zgid

The disorder averaged single-particle Green's function of electrons subject to a time-dependent random potential with long-range spatial correlations is calculated by means of bosonization in arbitrary dimensions. For static disorder our…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

The second-order Green's function method (GF2) was shown recently to be an accurate self-consistent approach for electronic structure of correlated systems since the self-energy accounts for both the weak and some of the strong correlation.…

Chemical Physics · Physics 2016-03-31 Daniel Neuhauser , Roi Baer , Dominika Zgid

We propose a Raman spectroscopy technique which is able to probe the one-particle Green's function, the Fermi surface, and the quasiparticles of a gas of strongly interacting ultracold atoms. We give quantitative examples of experimentally…

Other Condensed Matter · Physics 2008-11-17 Tung-Lam Dao , Antoine Georges , Jean Dalibard , Christophe Salomon , Iacopo Carusotto

The delta interaction at a vertex generalizes the Robin (generalized Neumann) boundary condition on an interval. Study of a single vertex with N infinite leads suffices to determine the localized effects of such a vertex on densities of…

Spectral Theory · Mathematics 2015-06-04 Stephen A. Fulling

Electron transport in nanoscale devices can often result in nontrivial spatial patterns of voltage and current that reflect a variety of physical phenomena, particularly in nonlocal transport regimes. While numerous techniques have been…

We present a further development of methods for analytical calculations of Green's functions of lattice fermions based on recurrence relations. Applying it to tight-binding systems and topological superconductors in different dimensions we…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 A. Komnik , S. Heinze

A stochastic method is described for estimating Green's functions (GF's), appropriate to linear advection-diffusion-reaction transport problems, evolving in arbitrary geometries. By allowing straightforward construction of approximate,…

We present a Green's function approach based on a LCAO scheme to compute the elastic propagation of electrons injected from a STM tip into a metallic film. The obtained 2D current distribution in real and reciprocal space furnish a good…

Materials Science · Physics 2009-10-31 K. Reuter , P. L. de Andres , F. J. Garcia-Vidal , D. Sestovic , F. Flores , K. Heinz

This article reports on tunable electron backscattering investigated with the biased tip of a scanning force microscope. Using a channel defined by a pair of Schottky gates, the branched electron flow of ballistic electrons injected from a…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 R. Steinacher , A. A. Kozikov , C. Rössler , C. Reichl , W. Wegscheider , K. Ensslin , T. Ihn

A 'forward walking' Green's Function Monte Carlo algorithm is used to obtain expectation values for SU(3) lattice Yang-Mills theory in (3+1) dimensions. The ground state energy and Wilson loops are calculated, and the finite-size scaling…

High Energy Physics - Lattice · Physics 2017-08-23 C. J. Hamer , M. Samaras , R. J. Bursill

In this work we present a numerical method to solve the set of Dyson-like equations arising the context of non-equilibrium Green's functions. The technique is based on the self-consistent solution of the Dyson equations for the interacting…

Strongly Correlated Electrons · Physics 2019-09-04 N. W. Talarico , S. Maniscalco , N. Lo Gullo

We deduce the dynamic frequency-domain-lattice Green's function of a linear chain with properties (masses and next-neighbor spring constants) of exponential spatial dependence. We analyze the system as discrete chain as well as the…

We combine confocal imaging, microfluidics and image analysis to record 3D-images of cells in flow. This enables us to recover the full 3D representation of several hundred living cells per minute. Whereas 3D confocal imaging has thus far…

Fluid Dynamics · Physics 2017-09-19 S. Quint , A. F. Christ , A. Guckenberger , S. Himbert , L. Kaestner , S. Gekle , C. Wagner

In this paper we use a splitting technique to develop new multiscale basis functions for the multiscale finite element method (MsFEM). The multiscale basis functions are iteratively generated using a Green's kernel. The Green's kernel is…

Numerical Analysis · Mathematics 2012-08-17 Lijian Jiang , Michael Presho

Closed expressions are derived for resonant multidimensional X-ray spectroscopy using the quasiparticle nonlinear exciton representation of optical response. This formalism is applied to predict coherent four wave mixing signals which probe…

Strongly Correlated Electrons · Physics 2015-05-13 U. Harbola , S. Mukamel

Precise predictions of atomic energy levels require the use of QED, especially in highly-charged ions, where the inner electrons have relativistic velocities. We present an overview of the two-time Green's function method; this method…

Atomic Physics · Physics 2007-05-23 E. -O. Le Bigot , P. Indelicato , V. M. Shabaev

We present two methods for computing two-time correlation functions or Green's functions from real time bold-line continuous time quantum Monte Carlo. One method is a formally exact generalized auxiliary lead formalism by which spectral…

Strongly Correlated Electrons · Physics 2014-04-01 Guy Cohen , David R. Reichman , Andrew J. Millis , Emanuel Gull