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Large values of Born effective charges are generally considered as reliable indicators of the genuine tendency of an insulator towards ferroelectric instability. However, these quantities can be very much influenced by strong electron…

Materials Science · Physics 2009-11-10 Alessio Filippetti , Nicola A. Spaldin

The average ionization state is a critical parameter in plasma models for charged particle transport, equation of state, and optical response. The dynamical or nonadiabatic Born effective charge (NBEC), calculated via first principles…

Materials Science · Physics 2025-03-07 Vidushi Sharma , Alexander J. White

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

Interactions mediated by electron-phonon coupling are responsible for important cooperative phenomena in metals such as superconductivity and charge-density waves. The same interaction mechanisms produce strong collision rates in the normal…

A sharp definition of what "adiabatic" means is given; it is then shown that the time-dependent expectation value of a quantum-mechanical observable in the adiabatic limit can be expressed -- in many cases -- by means of the appropriate…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Raffaele Resta

Based on recent first-principles computations in perovskite compounds, especially BaTiO3, we examine the significance of the Born effective charge concept and contrast it with other atomic charge definitions, either static (Mulliken,…

Condensed Matter · Physics 2009-10-31 Ph. Ghosez , J. P. Michenaud , X. Gonze

For the orthorhombic intermetallic semiconductor Al$_2$Ru, the bandstructure, valence charge density, zone center optical phonon frequencies, and Born effective charge and electronic dielectric tensors are calculated using variational…

mtrl-th · Physics 2015-06-26 Serdar Ogut , Karin M. Rabe

The nonadiabatic electron-phonon corrections for the superconducting pairing are investigated for a specific tight-binding model corresponding to a 2d square lattice. This permits to investigate the role of various specific properties like…

Superconductivity · Physics 2009-10-31 A. Perali , C. Grimaldi , L. Pietronero

We consider adiabatic charge transport through an almost open quantum dot. We show that the charge transmitted in one cycle is quantized in the limit of vanishing temperature and one-electron mean level spacing in the dot. The explicit…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. L. Aleiner , A. V. Andreev

Fermi energies in fullerene compounds and cuprates are extremely small as consequence of the small number of charge carriers and are comparable to the phonon frequency scale. In this situation the conventional Migdal-Eliashberg theory does…

Superconductivity · Physics 2009-10-31 M. Botti , E. Cappelluti , C. Grimaldi , L. Pietronero

Born dynamical charges ($\textbf{Z}^\text{dyn}$) play a key role in the lattice dynamics of most crystals, including both insulators and metals in the nonadiabatic ("clean") regime. Very recently, the so-called static Born charges,…

Materials Science · Physics 2025-01-20 Asier Zabalo , Cyrus E. Dreyer , Massimiliano Stengel

The search for semiconductors with high thermoelectric figure of merit has been greatly aided by theoretical modeling of electron and phonon transport, both in bulk materials and in nanocomposites. Recent experiments have studied…

Strongly Correlated Electrons · Physics 2015-06-25 Subroto Mukerjee , J. E. Moore

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…

Born effective charge (BEC), a fundamental quantity in lattice dynamics and ferroelectric theory, provides a quantitative measure of linear polarization response to ionic displacements. However, it does not account for higher-order effects,…

Materials Science · Physics 2025-12-02 Seongjoo Jung , Turan Birol

A review of electronic properties of insulating-, boron- and phosphorus-doped diamond is given. The main goal is, to show data in a wider context, to reveal trends and limitations with respect to carrier mobilities, conductivities, p- and…

Materials Science · Physics 2020-05-11 Christoph E. Nebel

The interaction between electronic and vibrational degrees of freedom is an important mechanism in nonequilibrium charge transport through molecular nanojunctions. While adiabatic polaron-type coupling has been studied in great detail, new…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Christoph Kaspar , André Erpenbeck , Jakob Bätge , Christian Schinabeck , Michael Thoss

High-$T_c$ superconductors are characterized by very low carrier densities. This feature leads to two fundamental consequences: on one hand the Fermi energies are correspondingly small and they can be of the same order of phonon…

Superconductivity · Physics 2009-10-31 E. Cappelluti , C. Grimaldi , L. Pietronero , S. Straessler

The electrodynamic properties of Ba(Fe$_{0.92}$Co$_{0.08})_2$As$_{2}$ and Ba(Fe$_{0.95}$Ni$_{0.05})_As$_{2}$ single crystals have been investigated by reflectivity measurements in a wide frequency range. In the metallic state, the optical…

Superconductivity · Physics 2010-10-22 N. Barišić , D. Wu , M. Dressel , L. J. Li , G. H. Cao , Z. A. Xu

We propose a new approach to study the transition between different topological states, based on the assessment of the vibrational resonances in infrared spectra. We consider the Haldane and Kane-Mele models finding that Born effective…

Materials Science · Physics 2025-06-10 Paolo Fachin , Francesco Macheda , Paolo Barone , Francesco Mauri

Symmetry elegantly governs the fundamental properties and derived functionalities of condensed matter. For instance, realizing the superconducting diode effect (SDE) demands breaking space-inversion and time-reversal symmetries…

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