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Generic rotationally invariant random matrix models satisfy a simple relation: the probability distribution of off-diagonal elements and the one of half the difference between any two diagonal elements coincide. In the spirit of the…

统计力学 · 物理学 2020-01-15 Laura Foini , Jorge Kurchan

The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between…

量子物理 · 物理学 2009-11-10 Eric-Olivier Le Bigot , Ulrich D. Jentschura , Paul Indelicato , Peter J. Mohr

We have applied the Finite Element Method to the self-consistent electronic structure calculations of molecules and solids for the first time. In this approach all the calculations are performed in "real space" and the use of non-uniform…

mtrl-th · 物理学 2009-10-28 Eiji Tsuchida , Masaru Tsukada

We demonstrate in the present study that self-consistent calculations based on the self-energy functional theory (SFT) are possible for the electronic structure of realistic systems in the context of quantum chemistry. We describe the…

材料科学 · 物理学 2018-06-14 Taichi Kosugi , Hirofumi Nishi , Yoritaka Furukawa , Yu-ichiro Matsushita

Despite the unitary evolution of closed quantum systems, long-time expectation of local observables are well described by thermal ensembles, providing the foundation of quantum statistical mechanics. A promising route to understanding this…

量子物理 · 物理学 2026-02-03 Yuke Zhang , Pengfei Zhang

We derive the Eigenstate Thermalization Hypothesis (ETH) from a random matrix Hamiltonian by extending the model introduced by J. M. Deutsch [Phys. Rev. A 43, 2046 (1991)]. We approximate the coupling between a subsystem and a many-body…

统计力学 · 物理学 2018-09-26 Charlie Nation , Diego Porras

The pair-coupled-cluster doubles (pCCD) method has emerged as a viable approach for quantum-chemical studies of strongly correlated systems. Despite its lower formal scaling (O(N$^4$)) compared to other versions of coupled cluster (CC)…

化学物理 · 物理学 2026-04-17 Rahul Chakraborty , Paweł Tecmer

The discrete Fourier transform is approximated by summing over part of the terms with corresponding weights. The approximation reduces significantly the requirement for computer memory storage and enhances the numerical computation…

强关联电子 · 物理学 2015-03-19 Xin-Zhong Yan

We comment on article by Yi Zhang , Hanna Terletska, Ka-Ming Tam, Yang Wang, Markus Eisenbach, Liviu Chioncel, and Mark Jarrell [Phys. Rev. B {\bf 100}, 054205 (2019)]\cite{Zhang} in which to study substitution disordered systems, they…

介观与纳米尺度物理 · 物理学 2020-01-22 Rostam Moradian , Sina Moradian , Rouhollah Gholami

Scattering by an isolated defect embedded in a dielectric medium of two dimensional periodicity is of interest in many sub-fields of electrodynamics. Present approaches to compute this scattering rely either on the Born approximation and…

介观与纳米尺度物理 · 物理学 2021-05-10 Kuljit S. Virk

We formulate a unified definition of the statistical effective temperature (SET) for finite-dimensional classical and quantum systems using dimension-dependent indices of purity derived from the eigenvalue spectrum. This spectral approach…

量子物理 · 物理学 2025-08-06 Tariq Aziz , Meng-Long Song , Liu Ye , Dong Wang , José J. Gil , Sabre Kais

Machine learning models are changing the paradigm of molecular modeling, which is a fundamental tool for material science, chemistry, and computational biology. Of particular interest is the inter-atomic potential energy surface (PES). Here…

计算物理 · 物理学 2020-07-21 Linfeng Zhang , Jiequn Han , Han Wang , Wissam A. Saidi , Roberto Car , Weinan E

Quantum embedding theories are playing an increasingly important role in bridging different levels of approximation to the many body Schr\"odinger equation in physics, chemistry and materials science. In this paper, we present a linear…

计算物理 · 物理学 2019-04-10 Lin Lin , Leonardo Zepeda-Núñez

A generalized Green's function theory is developed to simulate the inelastic electron tunneling spectroscopy (IETS) of molecular junctions. It has been applied to a realistic molecular junction with an octanedithiolate embedded between two…

介观与纳米尺度物理 · 物理学 2015-06-25 Jun Jiang , Mathias Kula , Wei Lu , Yi Luo

Bootstrap embedding (BE) is a recently developed electronic structure method that has shown great success at treating electron correlation in molecules. Here, we extend BE to treat surfaces and solids where the wave function is represented…

强关联电子 · 物理学 2023-01-18 Oinam Romesh Meitei , Troy Van Voorhis

Realistic nucleon-nucleon interaction induce correlations to the nuclear many-body system which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this…

核理论 · 物理学 2007-05-23 Arnau Rios , Artur Polls , Angels Ramos , Herbert Müther

This work explores the use of joint density-functional theory, a new form of density-functional theory for the ab initio description of electronic systems in thermodynamic equilibrium with a liquid environment, to describe electrochemical…

材料科学 · 物理学 2015-06-05 Kendra Letchworth-Weaver , T. A. Arias

We provide new existence and uniqueness results for the discrete-time Hamilton (DTH) equations of a symplectic-energy-momentum (SEM) integrator. In particular, we identify points in extended-phase space where the DTH equations of SEM…

数学物理 · 物理学 2007-05-23 Yosi Shibberu

We present an efficient and accurate method for calculating electronic structure and related properties of random alloys with a proper treatment of local environment effects. The method is a generalization of the locally self-consistent…

材料科学 · 物理学 2012-05-15 Oleg E. Peil , Andrei V. Ruban , Börje Johansson

The Schroedinger equation with an energy-dependent complex absorbing potential, associated with a scattering system, can be reduced for a special choice of the energy-dependence to a harmonic inversion problem of a discrete pseudo-time…

化学物理 · 物理学 2009-11-07 A. Neumaier , V. A. Mandelshtam