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Main Authors: Moon, Jaeyun, Zella, Leo, Lindsay, Lucas
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2408.12467
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author Moon, Jaeyun
Zella, Leo
Lindsay, Lucas
author_facet Moon, Jaeyun
Zella, Leo
Lindsay, Lucas
contents Phonon quasi-particles have been monumental in microscopically understanding thermodynamics and transport properties in condensed matter for decades. Phonons have one-to-one correspondence with harmonic eigenstates and their energies are often described by simple independent harmonic oscillator models. Higher order terms in the potential energy lead to interactions among them, resulting in finite lifetimes and frequency shifts, even in perfect crystals. However, increasing evidence including constant volume heat capacity different from the expected Dulong-Petit law suggests the need for re-evaluation of phonons having harmonic energies. In this work, we explicitly examine inter-mode dependence of phonon energies of a prototypical crystal, silicon, through energy covariance calculations and demonstrate the concerted nature of phonon energies even at 300 K, questioning independent harmonic oscillator assumptions commonly used for phonon energy descriptions of thermodynamics and transport.
format Preprint
id arxiv_https___arxiv_org_abs_2408_12467
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Collective nature of phonon energies in solids beyond harmonic oscillators
Moon, Jaeyun
Zella, Leo
Lindsay, Lucas
Materials Science
Phonon quasi-particles have been monumental in microscopically understanding thermodynamics and transport properties in condensed matter for decades. Phonons have one-to-one correspondence with harmonic eigenstates and their energies are often described by simple independent harmonic oscillator models. Higher order terms in the potential energy lead to interactions among them, resulting in finite lifetimes and frequency shifts, even in perfect crystals. However, increasing evidence including constant volume heat capacity different from the expected Dulong-Petit law suggests the need for re-evaluation of phonons having harmonic energies. In this work, we explicitly examine inter-mode dependence of phonon energies of a prototypical crystal, silicon, through energy covariance calculations and demonstrate the concerted nature of phonon energies even at 300 K, questioning independent harmonic oscillator assumptions commonly used for phonon energy descriptions of thermodynamics and transport.
title Collective nature of phonon energies in solids beyond harmonic oscillators
topic Materials Science
url https://arxiv.org/abs/2408.12467