First-principles calculations of phonon transport across a vacuum gap
Takuro Tokunaga, Masao Arai, Kazuaki Kobayashi, Wataru Hayami, Shigeru, Suehara, Takuma Shiga, Keunhan Park, and Mathieu Francoeur

TL;DR
This study predicts phonon-mediated heat transfer across a silicon vacuum gap using first-principles calculations, revealing that phonons dominate heat transfer at sub-nanometer gaps, which is crucial for understanding heat transfer in extreme near-field conditions.
Contribution
The paper introduces a first-principles atomistic Green's function approach to accurately quantify phonon transport across vacuum gaps, highlighting the role of electron wave function overlap.
Findings
Phonon transport exceeds near-field radiation for gaps smaller than ~1 nm.
Acoustic phonon modes primarily contribute to heat transfer.
Weak covalent interactions enable phonon pathways across the vacuum gap.
Abstract
Phonon transport across a vacuum gap separating intrinsic silicon crystals is predicted via the atomistic Green's function method combined with first-principles calculations of all interatomic force constants. The overlap of electron wave functions in the vacuum gap generates weak covalent interaction between the silicon surfaces, thus creating a pathway for phonons. Phonon transport, dominated by acoustic modes, exceeds near-field radiation for vacuum gaps smaller than ~ 1 nm. The first-principles-based approach proposed in this work is critical to accurately quantify the contribution of phonon transport to heat transfer in the extreme near field.
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