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A new Monte Carlo algorithm for calculating polaron effective mass is proposed. It is based on the path-integral representation of a partial partition function with fixed total quasi-momentum. Phonon degrees of freedom are integrated out…

Condensed Matter · Physics 2009-10-30 P. E. Kornilovitch , E. R. Pike

We present a theory that efficiently describes the quantum dynamics of an electronic excitation that is coupled to a continuous, highly structured phonon environment. Based on a stochastic approach to non-Markovian open quantum systems, we…

Quantum Physics · Physics 2009-11-05 Jan Roden , Alexander Eisfeld , Wolfgang Wolff , Walter T. Strunz

Variational ab-initio methods in quantum chemistry stand out among other methods in providing direct access to the wave function. This allows in principle straightforward extraction of any other observable of interest, besides the energy,…

Phonons are fundamentally important for many materials properties, including thermal and electronic transport, superconductivity, and structural stability. Here, we describe a method to compute phonons in correlated materials using…

Materials Science · Physics 2020-12-03 Can P. Koçer , Kristjan Haule , G. Lucian Pascut , Bartomeu Monserrat

Dynamical energy analysis was recently introduced as a new method for determining the distribution of mechanical and acoustic wave energy in complex built up structures. The technique interpolates between standard statistical energy…

Computational Physics · Physics 2012-08-21 David J. Chappell , Gregor Tanner , Stefano Giani

Electron-phonon coupling (EPC) plays an important role in many fundamental physical phenomena, but the high computational cost of the EPC matrix hinders the theoretical research on them. In this paper, an analytical formula is derived to…

Computational Physics · Physics 2023-02-02 Yang Zhong , Zhiguo Tao , Weibin Chu , Xingao Gong , Hongjun Xiang

In the density functional (DF) theory of Kohn and Sham, the kinetic energy of the ground state of a system of noninteracting electrons in a general external field is calculated using a set of orbitals. Orbital free methods attempt to…

Strongly Correlated Electrons · Physics 2009-11-13 Jeng-Da Chai , John D Weeks

We have developed a new self-consistent scheme of generating variational basis based on the exactdiagonalization, which can be applied efficiently to various types of electron-phonon systems. This scheme is quite general and brings down the…

Strongly Correlated Electrons · Physics 2015-10-18 Monodeep Chakraborty , B. I. Min

We present a detailed comparison between ONETEP, our linear-scaling density functional method, and the conventional pseudopotential plane wave approach in order to demonstrate its high accuracy. Further comparison with all-electron…

Materials Science · Physics 2009-11-11 Chris-Kriton Skylaris , Peter D. Haynes , Arash A. Mostofi , Mike C. Payne

A brief introduction to the projector augmented wave method is given and recent developments are reviewed. The projector augmented wave method is an all-electron method for efficient ab-initio molecular dynamics simulations with the full…

Materials Science · Physics 2007-05-23 Peter E. Blöchl , Clemens J. Först , Johannes Schimpl

We have used ab-initio density functional theory technique to understand the phase transitions and structural changes in various high temperature/pressure phases of LiAlO2. The electronic band structure as well as phonon spectra are…

Materials Science · Physics 2018-06-05 Baltej Singh , M. K. Gupta , R. Mittal , S. L. Chaplot

We present a method for the calculation of photoemission spectra in terms of reduced density matrices. We start from the spectral representation of the one-body Green's function G, whose imaginary part is related to photoemission spectra,…

Strongly Correlated Electrons · Physics 2016-11-23 Stefano Di Sabatino , J. A. Berger , Lucia Reining , Pina Romaniello

Broadly speaking, the calculation of core spectra such as electron energy loss spectra (EELS) at the level of density functional theory (DFT) usually relies one of two approaches: conceptually more complex but computationally efficient…

We present an efficient algorithm for the all-electron periodic Coulomb matrix based on the Ewald summation combined with the Fourier-transformed Coulomb method. The short-range contributions involving compact densities are evaluated in…

Chemical Physics · Physics 2025-09-23 Hieu Q. Dinh , Adam Rettig , Xintian Feng , Joonho Lee

We present first-principles frozen-phonon calculations for the three Raman-active $A_g$ modes in the spin-1/2 layered TiOCl system within two different well-known approaches: the local density approximation (LDA) and the so-called LDA+U…

Strongly Correlated Electrons · Physics 2009-11-11 Leonardo Pisani , Roser Valenti

In this paper the salient features of the Plane Wave Expansion (PWE) method and the mixed variational technique are combined for the fast eigenvalue computations of arbitrarily complex phononic unit cells. This is done by expanding the…

Materials Science · Physics 2017-05-29 Yan Lu , Ankit Srivastava

The present review includes the description of theoretical methods for the investigations of the spectra of hydrogen-like systems. Various versions of the quasipotential approach and the method of the effective Dirac equation are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Valeri V. Dvoeglazov , Rudolf N. Faustov , Yuri N. Tyukhtyaev

The total energy is a fundamental characteristic of solids, molecules, and nanostructures. In most first-principles calculations of the total energy, the nuclear kinetic operator is decoupled from the many-body electronic Hamiltonian and…

Materials Science · Physics 2026-02-17 Samuel Poncé , Xavier Gonze

In this work, we present a computationally efficient methodology that utilizes a local real-space formulation of the projector augmented wave (PAW) method discretized with a finite-element (FE) basis to enable accurate and large-scale…

Computational Physics · Physics 2025-01-03 Kartick Ramakrishnan , Sambit Das , Phani Motamarri

We present a method for computing angle-resolved electron-energy-loss and gain spectroscopies for phonon and magnon excitations in transmission electron microscopy. Fractional scattering intensities are derived from the…

Materials Science · Physics 2025-01-30 José Ángel Castellanos-Reyes , Paul Zeiger , Ján Rusz