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In view of some recent works on the role of vertex corrections in the electron-phonon system we readress an important question of the validity of the Migdal-Eliashberg theory. Based on the solution of the Holstein model and inverse coupling…

超导电性 · 物理学 2009-11-07 A. S. Alexandrov

The Quasi-harmonic (QH) approximation uses harmonic vibrational frequencies omega(H,Q,V), computed at volumes V near the volume where the Born-Oppenheimer (BO) energy is minimum. When this is used in the harmonic free energy, QH…

材料科学 · 物理学 2015-08-19 Philip B. Allen

This paper describes the effects of electronic nonequilibrium in a simulation of ultrafast laser irradiation of materials. The simulation scheme based on tight-binding molecular dynamics, in which the electronic populations are traced with…

材料科学 · 物理学 2023-12-29 Nikita Medvedev

We present a general theory for semiconductor polarons in the framework of the Froehlich interaction between electrons and phonons. The latter is investigated using non-commuting phonon creation/annihilation operators associated with a…

其他凝聚态物理 · 物理学 2012-02-09 D. Obreschkow , F. Michelini , S. Dalessi , E. Kapon , M. -A. Dupertuis

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…

材料科学 · 物理学 2026-02-17 Samuel Poncé , Xavier Gonze

From ultraviolet to mid-infrared region, light-matter interaction mechanisms in semiconductors progressively shift from electronic transitions to phononic resonances and are affected by temperature. Here, we present a parallel…

光学 · 物理学 2023-06-01 Zherui Han , Changkyun Lee , Jiawei Song , Haiyan Wang , Peter Bermel , Xiulin Ruan

Electron-phonon superconductors at high pressures have displayed the highest values of critical superconducting temperature $T_c$ on record, now rapidly approaching room temperature. Despite the importance of high-$P$ superconductivity in…

超导电性 · 物理学 2021-04-07 Chandan Setty , Matteo Baggioli , Alessio Zaccone

We calculate the optical phonon correction to the binding energy of electrons to donors in cubic materials. Previous theories calculated the Rydberg energy reduced by the effective mass and the static dielectric function. They omitted an…

材料科学 · 物理学 2015-06-03 G. D. Mahan , Kristian Berland

The quasiharmonic approximation is the most common method for modeling the specific heat of solids; however, it fails to capture the effects of intrinsic anharmonicity. In this study, we introduce the "elastic softening approximation," an…

The anharmonicity resulted from the intrinsic phonon interaction is neglected by quasiharmonic approximation. Although the intensive researches about anharmonicity have been done, up to now the free energy contributed by the anharmonicity…

统计力学 · 物理学 2007-05-23 Zhongqing Wu , Renata M. Wentzcovitch

Using the Feynman-Pines diagram technique, the energy spectrum of localized quasi-particles interacting with polarization phonons is calculated and analyzed in the wide range of energies at the finite temperature of the system. It is…

强关联电子 · 物理学 2017-02-13 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , O. Yu. Pytiuk

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…

其他凝聚态物理 · 物理学 2009-11-11 N. Bock , D. Coffey , Duane C. Wallace

We investigate the rectification of heat current carried by electrons through a double quantum dot (DQD) system under a temperature bias. The DQD can be realized by molecules such as suspended carbon nanotube and be described by the…

介观与纳米尺度物理 · 物理学 2018-06-26 Gaomin Tang , Lei Zhang , Jian Wang

In conventional metals, electron-phonon coupling, or the phonon-mediated interaction between electrons, has long been known to be the pairing interaction responsible for the superconductivity. The strength of this interaction essentially…

超导电性 · 物理学 2008-03-04 T. Valla , T. E. Kidd , Z. -H. Pan , A. V. Fedorov , W. -G. Yin , G. D. Gu , P. D. Johnson

This paper addresses the first principles description of coherent phonons in systems subjected to optical excitations and/or doping. We reformulate the first-principles Ehrenfest equation (fpEE) [Phys. Rev. X {\bf 13}, 031026 (2023)] in…

材料科学 · 物理学 2025-04-24 Gianluca Stefanucci , Enrico Perfetto

The one-dimensional Holstein-Hubbard model with two electrons of opposite spin is studied using an extension of a recently developed quantum Monte Carlo method, and a very simple yet rewarding variational approach, both based on a…

强关联电子 · 物理学 2007-05-23 Martin Hohenadler , Wolfgang von der Linden

We explore charge imbalance in mesoscopic normal-metal/superconductor multiterminal structures at very low temperatures. The investigated samples, fabricated by e-beam lithography and shadow evaporation, consist of a superconducting…

介观与纳米尺度物理 · 物理学 2010-05-27 F. Hübler , J. Camirand Lemyre , D. Beckmann , H. v. Löhneysen

We formulate a theory of thermal expansion based on the self-consistent phonon (SCP) theory, which nonperturbatively considers the anharmonic effect. We show that the Gr\"unseisen formula holds within the SCP theory by replacing the phonon…

材料科学 · 物理学 2022-12-20 Ryota Masuki , Takuya Nomoto , Ryotaro Arita , Terumasa Tadano

Elucidating the details of the electron-phonon coupling in semiconductors and insulators is a topic of pivotal interest, as it governs the transport mechanisms and is responsible for various phenomena such as spectral-weight transfers to…

We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

强关联电子 · 物理学 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman