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Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

Physics Education · Physics 2010-12-07 Nathan Argaman , Guy Makov

We have developed a new efficient and accurate impurity solver for the single impurity Anderson model (SIAM), which is based on a non-perturbative recursion technique in a space of operators and involves expanding the self-energy as a…

Strongly Correlated Electrons · Physics 2008-10-21 Jean-Pierre Julien , R. C. Albers

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…

Computational Physics · Physics 2019-04-10 Lin Lin , Leonardo Zepeda-Núñez

We introduce Extended Density Matrix Embedding Theory (EDMET), a static quantum embedding theory explicitly self-consistent with respect to local two-body physics. This overcomes the biggest practical and conceptual limitation of more…

Strongly Correlated Electrons · Physics 2021-12-22 Charles J. C. Scott , George H. Booth

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek

The effects of quantum fluctuations in fields confined by background configurations may be simply and transparently computed using the Green's function approach pioneered by Schwinger. Not only can total energies and surface forces be…

High Energy Physics - Theory · Physics 2007-05-23 K. A. Milton , I. Cavero-Pelaez , K. Kirsten

A Green's function method is developed for solving strongly-coupled gravity and matter in the semiclassical limit. In the strong-coupling limit, one assumes that Newton's constant approaches infinity. As a result, one may neglect second…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. S. Salopek

Topology without quasiparticles has emerged as a key framework for understanding Mott insulators, where Green's-function zeros encode nontrivial topological structure. Yet, experimental detection of these zeros represents a challenge. Using…

Strongly Correlated Electrons · Physics 2026-03-03 Sayan Mitra , Fang Xie , Marek Kolmer , Qimiao Si , Chandan Setty

We study the formation of subgap impurity states in strongly correlated Mott insulators. We use a composite operator method that gives us access to both the bulk Green's function, as well as to the real-space Green's function in the…

Strongly Correlated Electrons · Physics 2025-10-23 Emile Pangburn , Anurag Banerjee , Catherine Pépin , Cristina Bena

Non-adiabatic effects play an important role in many chemical processes. In order to study the underlying non-adiabatic potential-energy surfaces (PESs), we present a locally-constrained density-functional theory approach, which enables us…

Materials Science · Physics 2015-06-25 Joerg Behler , Bernard Delley , Karsten Reuter , Matthias Scheffler

We apply the thermodynamic Bethe Ansatz to investigate the high energy behaviour of a class of scattering matrices which have recently been proposed to describe the Homogeneous sine-Gordon models related to simply laced Lie algebras. A…

High Energy Physics - Theory · Physics 2014-11-18 O. A. Castro-Alvaredo , A. Fring , C. Korff , J. L. Miramontes

Ideal density-functional approximations (DFAs) should account for dynamic, static, and nondynamic correlation. While common DFAs struggle with the latter two, the Ziegler-Rauk-Baerends-Daul multiplet sum method (MSM) provides a pragmatic…

Chemical Physics · Physics 2026-05-29 Mark E Casida , Abraham Ponra , Gadzikano Munyuki , Bharathi Natarajan

We present an implementation of Triplet Excitation-Energy Transfer (TEET) couplings based on subsystem-based Time-Dependent Density-Functional Theory (sTDDFT). TEET couplings are systematically investigated by comparing "exact" and…

Chemical Physics · Physics 2023-12-13 Sabine Käfer , Niklas Niemeyer , Johannes Tölle , Johannes Neugebauer

We extend density matrix embedding theory to periodic systems, resulting in an electronic band structure method for solid-state materials. The electron correlation can be captured by means of a local impurity model using various choices of…

Strongly Correlated Electrons · Physics 2019-09-27 Hung Q. Pham , Matthew R. Hermes , Laura Gagliardi

We present a real-space formulation and higher-order finite-difference implementation of periodic Orbital-free Density Functional Theory (OF-DFT). Specifically, utilizing a local reformulation of the electrostatic and kernel terms, we…

Computational Physics · Physics 2015-12-23 Swarnava Ghosh , Phanish Suryanarayana

In this work we explore the performance of approximations to electron correlation in reduced density-matrix functional theory (RDMFT) and of approximations to the observables calculated within this theory. Our analysis focuses on the…

Strongly Correlated Electrons · Physics 2015-02-26 Stefano Di Sabatino , Jan A. Berger , Lucia Reining , Pina Romaniello

In the present work, we introduce a Self-Consistent Density-Functional Embedding technique, which leaves the realm of standard energy-functional approaches in Density Functional Theory and targets directly the density-to-potential mapping…

Computational Physics · Physics 2019-07-17 Uliana Mordovina , Teresa E. Reinhard , Iris Theophilou , Heiko Appel , Angel Rubio

We study the critical behavior of the single-site entanglement entropy S at the Mott metal-insulator transition in infinite-dimensional Hubbard model. For this model, the entanglement between a single site and rest of the lattice can be…

Strongly Correlated Electrons · Physics 2015-06-12 Dan-Dan Su , Xi Dai , Ning-Hua Tong

Recent high resolution Compton scattering experiments clearly reveal that there are fundamental limitations to the conventional local density approximation (LDA) based description of the ground state electron momentum density (EMD) in…

Strongly Correlated Electrons · Physics 2007-10-11 B. Barbiellini , A. Bansil

A framework for developing new approximate electronic structure methods is presented, in which the correlation energy of a many-electron system in the ground state is computed as in the single-reference second-order many-body perturbation…

Chemical Physics · Physics 2011-06-15 Dimitri Laikov
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