Abstract

Conventional methods for calculating anharmonic phonon properties are computationally expensive. To address this issue, a theoretical approach was developed for the accelerated calculation of vibrational lineshapes for spectra obtained from finite-time molecular dynamics. The method gives access to the effect of anharmonicity-induced frequency shift and lifetime, as well as simulation broadening. For a toy model we demonstrate at least an order of magnitude reduction in the number of simulation steps needed to obtain converged vibrational properties in nearly all cases considered as compared to the standard extraction procedure. The theory is also illustrated for graphene, hexagonal boron nitride, and silicon at the density functional theory level, with up to nearly a factor of 9 reduction in the required simulation time to reach convergence in the vibrational frequencies and lifetimes. In general, we expect the newly developed method to outperform the standard procedure when the anharmonicity is sufficiently weak so that well-defined renormalized phonon quasiparticles emerge. Our extension of signal analysis to material vibrations represents a state-of-the-art advance in calculating temperature-dependent phonon properties and could be implemented in computational materials discovery packages that search for thermoelectric materials for instance, since the thermal conductivity contribution to ZT depends strongly on these characteristics.

Highlights

  • Phonons constitute an important topic in condensed matter physics and are required to explain phenomena ranging from thermal expansion to electrical resistivity to BCS superconductivity.[1,2] Due to advancements in supercomputing and density functional theory (DFT), first-principles calculations of phonon properties are routine.[3]

  • With the developed theory illustrated for a toy model, we show its application to three materials: graphene, single-layer hexagonal boron nitride (hBN), and silicon

  • Up until this point we have demonstrated that the developed method improves the convergence of vibrational frequencies and lifetimes with respect to the total simulation time

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Summary

Introduction

Phonons constitute an important topic in condensed matter physics and are required to explain phenomena ranging from thermal expansion to electrical resistivity to BCS superconductivity.[1,2] Due to advancements in supercomputing and density functional theory (DFT), first-principles calculations of phonon properties are routine.[3]. Anharmonic properties can be determined using many-body perturbation theory[5,6,7,8,9,10,11,12,13] or density functional perturbation theory.[14,15,16,17] For even the simplest materials the former method can require hundreds or thousands of accurate calculations on a large supercell using the finite displacement method. With the PHONO3PY computer code[13] the four-atom primitive cell of single-layer black phosphorus[18] requires 4741 separate DFT calculations on a 256 atom supercell without using a cutoff distance to describe the three phonon processes. Quartic order treatment may be necessary to obtain quantitative agreement with experiment.[9,12] at sufficiently high-temperature perturbation approaches break down

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