Green's function ≈ Green's function
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Thermal transport across metal silicide-silicon interfaces: First-principles calculations and Green's function transport simulations Open
In this work, we use a combination of first-principles calculations under the density functional theory framework and heat transport simulations using the atomistic Green's function (AGF) method to quantitatively predict the contribution o…
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Self-Consistent Green's Function Theory for Atomic Nuclei Open
Nuclear structure theory has recently gone through a major renewal with the development of ab initio techniques that can be applied to a large number of atomic nuclei, well-beyond the light sector that had been traditionally targeted in th…
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Fractional charge and spin errors in self-consistent Green’s function theory Open
We examine fractional charge and spin errors in self-consistent Green’s function theory within a second-order approximation (GF2). For GF2, it is known that the summation of diagrams resulting from the self-consistent solution of the Dyson…
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A single-sided homogeneous Green's function representation for holographic imaging, inverse scattering, time-reversal acoustics and interferometric Green's function retrieval Open
Green's theorem plays a fundamental role in a diverse range of wavefield imaging applications, such as holographic imaging, inverse scattering, time-reversal acoustics and interferometric Green's function retrieval. In many of those applic…
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Connections and performances of Green’s function methods for charged and neutral excitations Open
In recent years, Green’s function methods have garnered considerable interest due to their ability to target both charged and neutral excitations. Among them, the well-established GW approximation provides accurate ionization potentials an…
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Renormalized Singles Green’s Function in the T-Matrix Approximation for Accurate Quasiparticle Energy Calculation Open
We combine the renormalized singles (RS) Green's function with the T-matrix approximation for the single-particle Green's function to compute quasiparticle energies for valence and core states of molecular systems. The GRST0 method uses th…
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Electromagnetic Green's function for layered topological insulators Open
The dyadic Green's function of the inhomogeneous vector Helmholtz equation\ndescribes the field pattern of a single frequency point source. It appears in\nthe mathematical description of many areas of electromagnetism and optics\nincluding…
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Coupled-cluster Green's function: Analysis of properties originating in the exponential parametrization of the ground-state wave function Open
In this paper we derive basic properties of the Green's-function matrix elements stemming from the exponential coupled-cluster (CC) parametrization of the ground-state wave function. We demonstrate that all intermediates used to express th…
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Calculations of band diagrams and low frequency dispersion relations of 2D periodic dielectric scatterers using broadband Green’s function with low wavenumber extraction (BBGFL) Open
The broadband Green's function with low wavenumber extraction (BBGFL) is applied to the calculations of band diagrams of two-dimensional (2D) periodic structures with dielectric scatterers. Periodic Green's functions of both the background…
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Anomalous caustics and Veselago focusing in 8-Pmmn borophene p–n junctions with arbitrary junction directions Open
Negative refraction usually demands complex structure engineering while it is very natural for massless Dirac fermions (MDFs) across the p–n junction (PNJ), this leads to Dirac electron optics. The emergent Dirac materials may exhibit hith…
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Unified double- and single-sided homogeneous Green’s function representations Open
In wave theory, the homogeneous Green’s function consists of the impulse response to a point source, minus its time-reversal. It can be represented by a closed boundary integral. In many practical situations, the closed boundary integral n…
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Equation-of-Motion Coupled-Cluster Cumulant Green’s Function for Excited States and X-Ray Spectra Open
Green’s function methods provide a robust, general framework within many-body theory for treating electron correlation in both excited states and x-ray spectra. Conventional methods using the Dyson equation or the cumulant expansion are ty…
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A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions Open
Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the bounda…
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Near-field radiative heat transfer between irregularly shaped dielectric particles modeled with the discrete system Green's function method Open
Near-field radiative heat transfer (NFRHT) between irregularly shaped dielectric particles made of SiO2 and morphology characterized by Gaussian random spheres is studied. Particles are modeled using the discrete system Green's function (D…
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Properties of advanced coupled-cluster Green's function Open
We present an extension of the analysis previously applied to the retarded part of the coupled cluster (CC) Green's function to its advanced part. In analogy to our earlier studies for the retarded part, we demonstrate that the advanced CC…
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GREEN’S FUNCTION AND EXISTENCE OF SOLUTIONS FOR A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM Open
The solutions of third-order three-point boundary value problemx′′′+f(t,x) = 0, t∈[a,b],x(a) =x′(a) = 0, x(b) =kx(η),whereη∈(a,b),k∈R,f∈C([a,b]×R,R) andf(t,0)6= 0, are the subject of thisinvestigation. In order to establish existence and u…
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Landau quantized dynamics and spectra for group-VI dichalcogenides, including a model quantum wire Open
This work is concerned with the derivation of the Green’s function for Landau-quantized carriers in the Group-VI dichalcogenides. In the spatially homogeneous case, the Green’s function is separated into a Peierls phase factor and a transl…
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Photoemission spectral functions from the three-body Green's function Open
We present an original strategy for the calculation of direct and inverse photo-emission spectra from first principles. The main goal is to go beyond the standard Green's function approaches, such as the $GW$ method, in order to find a goo…
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A unified framework for acoustic instabilities based on the tailored Green’s function Open
This paper presents a unified framework to analyse the role of thermoacoustic and aeroacoustic sources in a one-dimensional acoustic resonator. We introduce two forms of the tailored Green's function: one that satisfies the boundary condit…
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Visualization of Green’s function anomalies for megathrust source in Nankai Trough by reciprocity method Open
We used simulation by the reciprocity method to visualize the distribution of Green’s function amplitudes in the source of a megathrust earthquake in the Nankai Trough and considered the effects of various areas (asperities or strong motio…
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Exact formulas of the end-to-end Green's functions in non-Hermitian systems Open
Green's function in non-Hermitian systems has recently been revealed to be capable of directional amplification in some cases. The exact formulas for end-to-end Green's functions are significantly important for studies of both non-Hermitia…
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Far-field approximations to the derivatives of Green’s function for the Ffowcs Williams and Hawkings equation Open
The surface correction to the quadrupole source term of the Ffowcs Williams and Hawkings integral in the frequency domain suffers from the computation of high-order derivatives of Green’s function. The far-field approximations to the deriv…
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Green Functions of the First Boundary-Value Problem for a Fractional Diffusion—Wave Equation in Multidimensional Domains Open
We construct the Green function of the first boundary-value problem for a diffusion-wave equation with fractional derivative with respect to the time variable. The Green function is sought in terms of a double-layer potential of the equati…
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Green's-function theory of dirty two-band superconductivity Open
We study the effects of random nonmagnetic impurities on the superconducting transition temperature Tc in a two-band superconductor, where we assume an equal-time spin-singlet s-wave pair potential in each conduction band and the hybridiza…
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Two-Dimensional Green's Function for Thermal Stresses in a Semi-Layer Under a Point Heat Source Open
We present specific new expressions for thermal stresses as Green's functions for a plane boundary value problem of steady-state thermoelasticity for a semi-layer. We also obtain new integration formulas of Green's type, which determine th…
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Statistics of Green's functions on a disordered Cayley tree and the validity of forward scattering approximation Open
The accuracy of the forward scattering approximation for two-point Green's functions of the Anderson localization model on the Cayley tree is studied. A relationship between the moments of the Green's function and the largest eigenvalue of…
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Paradox of modelling curved faults revisited with general non-hypersingular stress Green’s functions Open
SUMMARY In a dislocation problem, a paradoxical discordance is known to occur between an original smooth curve and an infinitesimally discretized curve. To solve this paradox, we have investigated a non-hypersingular expression for the int…
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Description of quasiparticle and satellite properties via cumulant expansions of the retarded one-particle Green's function Open
A cumulant-based GW approximation for the retarded one-particle Green's function is proposed, motivated by an exact relation between the improper Dyson self-energy and the cumulant generating function. We explore qualitative aspects of thi…
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Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters Open
In this work, we investigate a class of nonlinear fourth-order systems with coupled integral boundary conditions and two parameters. We give the Green's functions for the system with boundary conditions, and then obtain some useful propert…
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The Sign of the Green Function of an n-th Order Linear Boundary Value Problem Open
This paper provides results on the sign of the Green function (and its partial derivatives) of an n-th order boundary value problem subject to a wide set of homogeneous two-point boundary conditions. The dependence of the absolute value of…