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For electric quadrupole ($E2$) observables, which depend on the large-distance tails of the nuclear wave function, ab initio no-core configuration interaction (NCCI) calculations converge slowly, making meaningful predictions challenging to…

Nuclear Theory · Physics 2022-09-28 Mark A. Caprio , Patrick J. Fasano

An efficient order$-N$ real-space Kubo approach is developed for the calculation of the thermal conductivity of complex disordered materials. The method, which is based on the Chebyshev polynomial expansion of the time evolution operator…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Wu Li , Haldun Sevincli , Stephan Roche , Gianaurelio Cuniberti

Acoustic room modes and the Green's function mode expansion are well-known for rectangular rooms with perfectly reflecting walls. First-order approximations also exist for nearly rigid boundaries; however, current analytical methods fail to…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-11 Matteo Calafà , Yuanxin Xia , Jonas Brunskog , Cheol-Ho Jeong

We propose the reduced-shifted Conjugate-Gradient (RSCG) method, which is numerically efficient to calculate a matrix element of a Green's function defined as a resolvent of a Hamiltonian operator, by solving linear equations with a desired…

Superconductivity · Physics 2017-02-01 Yuki Nagai , Yasushi Shinohara , Yasunori Futamura , Tetsuya Sakurai

As a critical way to modulate thermal transport in nanostructures, phonon resonance hybridization has become an issue of great concern in the field of phonon engineering. In this work, we optimized phonon transport across graphene…

Mesoscale and Nanoscale Physics · Physics 2021-04-06 Xiao Wan , Dengke Ma , Dongkai Pan , Lina Yang , Nuo Yang

Spin fluctuations have been proposed as a key mechanism for mediating superconductivity, particularly in high-temperature superconducting cuprates, where conventional electron-phonon interactions alone cannot account for the observed…

Superconductivity · Physics 2025-04-17 Griffin Heier , Sergey Y. Savrasov

Concise and explicit formulas for dyadic Green's functions, representing the electric and magnetic fields due to a dipole source placed in layered media, are derived in this paper. First, the electric and magnetic fields in the spectral…

Computational Physics · Physics 2017-01-17 Min Hyung Cho , Wei Cai

Many-body transport has emerged as an efficient tool for understanding interaction effects in quantum materials with a multi-band electronic structure. This paper proposes a formula for the two-particle transmission coefficient for…

Superconductivity · Physics 2023-02-02 G. Tkachov

Eliashberg's foundational theory of superconductivity is based on the application of Migdal's approximation, which states that vertex corrections to first order electron-phonon scattering are negligible if the ratio between phonon and…

Superconductivity · Physics 2021-02-26 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

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

Despite its centrality in the mathematical structure of perturbative many-body theory, the total Green's function for the many-body time-dependent Schrodinger equation has been ignored for decades, superseded by single-particle Green's…

Strongly Correlated Electrons · Physics 2016-02-26 David Roberts

We discuss an integral equation approach that enables fast computation of the response of nonlinear multi-degree-of-freedom mechanical systems under periodic and quasi-periodic external excitation. The kernel of this integral equation is a…

Dynamical Systems · Mathematics 2019-05-10 Shobhit Jain , Thomas Breunung , George Haller

A method to calculate the one-body Green's function for ground states of correlated electron materials is formulated by extending the variational Monte Carlo method. We benchmark against the exact diagonalization (ED) for the one- and…

Strongly Correlated Electrons · Physics 2020-11-11 Maxime Charlebois , Masatoshi Imada

In this letter, an approach to accelerate the matrix filling in method of moment (MOM) is presented. Based on the fact that the Green function is dependent on the Euclidean distance between the source and the observation points, we…

Numerical Analysis · Mathematics 2024-12-20 Shunchuan Yang , Donglin Su

Despite its simplicity, the single-trajectory thawed Gaussian approximation has proven useful for calculating vibrationally resolved electronic spectra of molecules with weakly anharmonic potential energy surfaces. Here, we show that the…

Chemical Physics · Physics 2024-09-26 Ēriks Klētnieks , Yannick Calvino Alonso , Jiří J. L. Vaníček

We analyze superonductivity in MgB$_2$ observed below $T_c=39$ K resulting from electron-phonon coupling involving a mode at $\hbar \omega_1 = 24$ meV and most importantly the in-plane B-B $E_{2g}$ vibration at $\hbar \omega_2=67$ meV. The…

Superconductivity · Physics 2009-11-07 C. Joas , I. Eremin , D. Manske , K. H. Bennemann

A rigorous evaluation of the Landau-Pomeranchuk-Migdal effect for finite-size targets is performed within the path integral approach previously developed in ref. [4]. The bremsstrahlung rate in QED is expressed through a solution of a…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. G. Zakharov

In a recent paper (Phys. Rev. D78, 084031 (2008), arXiv:0808.0642, Ref. [1]) it was shown in examples that the covariant retarded Green's functions in particular gauges for electromagnetism and linearized gravity can be used to reproduce…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Atsushi Higuchi , Yen Cheong Lee , Jack R. Nicholas

Measuring terahertz (THz) conductivity on an ultrafast time scale is an excellent way to observe charge-carrier dynamics in semiconductors as a function of time after photoexcitation. However, a conductivity measurement alone cannot…

The electron-doped silicene under the influence of the biaxial tensile strain is predicted to be the phonon-mediated superconductor. By using the Eliashberg formalism, we investigate the thermodynamic properties of the superconducting…

Superconductivity · Physics 2015-02-03 A. P. Durajski , D. Szczȩśniak , R. Szczȩśniak