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The renormalization of electronic eigenenergies due to electron-phonon coupling is sizable in many materials with light atoms. This effect, often neglected in ab-initio calculations, can be computed using the perturbation-based…

The Allen-Heine-Cardona theory allows us to calculate phonon-induced electron self-energies from first principles without resorting to the adiabatic approximation. However, this theory has not been able to account for the change of the…

Materials Science · Physics 2024-10-17 Jae-Mo Lihm , Cheol-Hwan Park

The renormalization of the band structure at zero temperature due to electron-phonon coupling is investigated in diamond, BN, LiF and MgO crystals. We implement a dynamical scheme to compute the frequency-dependent self-energy and the…

We present a general harmonic theory for the temperature dependence of phonon-renormalized properties of solids. Firstly, we formulate a perturbation theory in phonon-phonon interactions to calculate the phonon renormalization of physical…

Materials Science · Physics 2015-10-28 Bartomeu Monserrat , G. J. Conduit , R. J. Needs

We calculate the adiabatic contributions to the free energy due to the electron--phonon interaction at intermediate temperatures, $0 \leqslant k_{B} T < \epsilon_{F}$ for the elemental metals Na, K, Al, and Pb. Using our previously…

Other Condensed Matter · Physics 2009-11-11 N. Bock , D. Coffey , Duane C. Wallace

Harmonic calculations based on density-functional theory are generally the method of choice for the description of phonon spectra of metals and insulators. The inclusion of anharmonic effects is, however, delicate as it relies on…

Materials Science · Physics 2015-06-17 Ion Errea , Matteo Calandra , Francesco Mauri

Verification and validation of methods and first-principles software are at the core of computational solid-state physics but are too rarely addressed. We compare four first-principles codes: Abinit, Quantum ESPRESSO, EPW, ZG, and three…

Materials Science · Physics 2025-05-28 Samuel Poncé , Jae-Mo Lihm , Cheol-Hwan Park

The electron-phonon interaction contribution to the electronic energies is included in density functional total energy calculations with ab initio pseudopotentials via the Allen formalism [Phys. Rev. B 18, 5217 (1978)] to obtain temperature…

Materials Science · Physics 2018-02-21 Vaishali Shah , Bhavik Sanghavi , Rahul Ramchandani , M. P. Gururajan , T. R. S. Prasanna

The standard Eliashberg - McMillan theory of superconductivity is essentially based on the adiabatic approximation. Here we present some simple estimates of electron - phonon interaction within Eliashberg - McMillan approach in non -…

Superconductivity · Physics 2020-02-03 M. V. Sadovskii

Phonons, quantized vibrations of the atomic lattice, are fundamental to understanding thermal transport, structural stability, and phase behavior in crystalline solids. Despite advances in computational materials science, most predictions…

Materials Science · Physics 2026-01-15 Huiju Lee , Zhi Li , Jiangang he , Yi Xia

We present calculations of the correlation energies of crystalline solids and isolated systems within the adiabatic-connection fluctuation-dissipation formulation of density-functional theory. We perform a quantitative comparison of a set…

Materials Science · Physics 2016-07-29 Christopher E. Patrick , Kristian S. Thygesen

The adiabatic Born-Oppenheimer approximation is considered to be a robust approach that very rarely breaks down. Consequently, it is predominantly utilized to address various electron-phonon properties in condensed matter physics. By…

Superconductivity · Physics 2023-03-01 Nina Girotto , Dino Novko

The free energy and other thermodynamic properties of hexagonal-close-packed iron are calculated by direct {\em ab initio} methods over a wide range of pressures and temperatures relevant to the Earth's core. The {\em ab initio}…

Condensed Matter · Physics 2007-05-23 D. Alfe` , G. D. Price , M. J. Gillan

We report a Raman study of the effect of temperature on the self-energies of optical phonons in a number of transition metals with hexagonal-close-packed structure. Anisotropic softening of phonon energies and narrowing of phonon linewidths…

Materials Science · Physics 2017-01-04 Yu. S. Ponosov , S. V. Streltsov

Physical foundations of adiabatic and nonadiabatic electronics of materials are considered in this article. It is shown the limitation of adiabatic approach to electronics of materials. It is shown that nonadiabatic physical properties of…

Materials Science · Physics 2007-05-23 V. A. Vdovenkov

We present a theory of electronic excitation energies and optical absorption spectra which incorporates energy-level renormalization and phonon-assisted optical absorption within a unified framework. Using time-independent perturbation…

Materials Science · Physics 2016-07-28 Christopher E. Patrick , Feliciano Giustino

Quantitative evaluations of the free energy of materials must take into account thermal and zero-point energy fluctuations. While these effects can easily be estimated within a harmonic approximation, corrections arising from the anharmonic…

Materials Science · Physics 2019-06-18 Venkat Kapil , Edgar Engel , Mariana Rossi , Michele Ceriotti

We present ab-initio calculations of the quasi-harmonic temperature dependent elastic constants. The isothermal elastic constants are calculated at each temperature as second derivatives of the Helmholtz free energy with respect to strain…

Materials Science · Physics 2021-09-29 Cristiano Malica , Andrea Dal Corso

We extend the capabilities of correlation energy functionals based on the adiabatic-connection fluctuation-dissipation theorem by implementing the analytical atomic forces within the random phase approximation (RPA), in the context of plane…

Materials Science · Physics 2026-03-19 Damian Contant , Maria Hellgren

The thorough treatment of electron-lattice interactions from first principles is one of the main goals in condensed matter physics. While the commonly applied adiabatic Born-Oppenheimer approximation is sufficient for describing many…

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