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The band-unfolding method is widely used to calculate the effective band structures of a disordered system from its supercell model. The unfolded band structures show the crystallographic symmetry of the underlying structure, where the…

Materials Science · Physics 2017-01-18 Yuji Ikeda , Abel Carreras , Atsuto Seko , Atsushi Togo , Isao Tanaka

Here we propose a new approach for performing a Taylor series expansion of the first-principles computed energy of a crystal as a function of the nuclear displacements. We enlarge the dimensionality of the existing displacement space and…

Materials Science · Physics 2014-08-06 Xinyuan Ai , Yue Chen , Chris A. Marianetti

For electron-phonon Hamiltonians with the couplings linear in the phonon operators we construct a class of unitary transformations that separate the normal modes into two groups. The modes in the first group interact with the electronic…

Materials Science · Physics 2015-05-13 Andrey Pereverzev , Eric R. Bittner

We develop a theoretical and computational framework to study polarons in semiconductors and insulators from first principles. Our approach provides the formation energy, excitation energy, and wavefunction of both electron and hole…

Materials Science · Physics 2019-06-21 Weng Hong Sio , Carla Verdi , Samuel Ponce , Feliciano Giustino

In recent years, the fundamental physics of spin-thermal (i.e., magnon-phonon) interaction has attracted significant experimental and theoretical interests given its potential paradigm-shifting impacts in areas like spin-thermoelectrics,…

Materials Science · Physics 2018-03-14 Xufei Wu , Zeyu Liu , Tengfei Luo

Sorting and assigning phonon branches (e.g., longitudinal acoustic) of phonon modes is important for characterizing the phonon bands of a crystal and the determination of phonon properties such as the Gr\"uneisan parameter and group…

Materials Science · Physics 2021-01-26 Chee Kwan Gan , Zhun-Yong Ong

We provide a comprehensive theoretical framework to study how crystal dislocations influence the functional properties of materials, based on the idea of quantized dislocation, namely a "dislon". In contrast to previous work on dislons…

Materials Science · Physics 2018-03-14 Mingda Li , Yoichiro Tsurimaki , Qingping Meng , Nina Andrejevic , Yimei Zhu , Gerald D. Mahan , Gang Chen

We show that the commonly used lowest-order theory of phonon-phonon interactions frequently fails to accurately describe the anharmonic phonon decay rates and thermal conductivity ($\kappa$), even among strongly bonded crystals. Applying a…

Materials Science · Physics 2020-07-01 Navaneetha K. Ravichandran , David Broido

We study the direct calculation of total energy derivatives for lattice dynamics and electron-phonon coupling calculations using supercell matrices with non-zero off-diagonal elements. We show that it is possible to determine the response…

Materials Science · Physics 2016-01-08 Jonathan H. Lloyd-Williams , Bartomeu Monserrat

A computational approach has been developed for the analysis of the properties of 3D dislocation substructures generated by the vector density continuum dislocation dynamics (CDD), within the framework of crystal plasticity. In the CDD…

The interactions between electrons and lattice vibrational modes play the key role in determining the carrier transport properties, thermoelectric performance and other physical quantities related to phonons in semiconductors. However, for…

Solid-state elastic-wave phonons are a promising platform for a wide range of quantum information applications. An outstanding challenge and enabling capability in harnessing phonons for quantum information processing is achieving strong…

Applied Physics · Physics 2024-05-07 Eric Chatterjee , Alexander Wendt , Daniel Soh , Matt Eichenfield

First-principles calculations of electron interactions in materials have seen rapid progress in recent years, with electron-phonon (e-ph) interactions being a prime example. However, these techniques use large matrices encoding the…

Materials Science · Physics 2025-03-11 Yao Luo , Dhruv Desai , Benjamin K. Chang , Jinsoo Park , Marco Bernardi

\textit{Ab initio} calculations of electron-phonon interactions including the polar Fr\"ohlich coupling have advanced considerably in recent years. The Fr\"ohlich electron-phonon matrix element is by now well understood in the case of bulk…

Materials Science · Physics 2022-03-16 Weng Hong Sio , Feliciano Giustino

Phonons are quantized vibrations of a crystal lattice that play a crucial role in understanding many properties of solids. Density functional theory (DFT) provides a state-of-the-art computational approach to lattice vibrations from…

We present an algorithm that integrates pseudosymmetry search with first-principles calculations to systematically identify achiral parent structures and establish potential chiral displacive transitions linking them to their corresponding…

Materials Science · Physics 2025-08-21 Fernando Gómez-Ortiz , Aldo H. Romero , Eric Bousquet

In the framework of density functional theory (DFT) simulations of molecules and materials, anharmonic terms of the potential energy surface are commonly computed numerically, with an associated cost that rapidly increases with the size of…

Materials Science · Physics 2025-03-17 Davide Mitoli , Jefferson Maul , Alessandro Erba

Phonon-assisted tunneling plays a crucial role for electronic device performance and even more so with future size down-scaling. We show how one can include this effect in large-scale first-principles calculations using a single "special…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Tue Gunst , Troels Markussen , Mattias L. N. Palsgaard , Kurt Stokbro , Mads Brandbyge

We propose a new class of semi-implicit methods for solving nonlinear fractional differential equations and study their stability. Several versions of our new schemes are proved to be unconditionally stable by choosing suitable parameters.…

Numerical Analysis · Mathematics 2018-08-14 Fanhai Zeng , Ian Turner , Kevin Burrage , George Em Karniadakis

The modeling of solid-state transformations, such as polymorphic transitions and chemical reactions in molecular crystals, is vital for many applications including drug design or the development of new synthesis methods. However, a…

Chemical Physics · Physics 2025-06-17 Natalia Goncharova , Johannes Hoja