Channel-based algebraic limits to conductive heat transfer

Prashanth S. Venkataram, Sean Molesky, Juan Carlos Cuevas, Alejandro W. Rodriguez

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Recent experimental advances probing coherent phonon and electron transport in nanoscale devices at contact have motivated theoretical channel-based analyses of conduction based on the nonequilibrium Green's function formalism. Transmission through each channel is known to be bounded above by unity, yet in practice usually falls far below this Landauer limit. Building upon recently derived radiative heat transfer limits and a unified formalism characterizing heat transport for arbitrary bosonic systems in the linear regime, we propose new bounds on conductive heat transfer. In particular, we demonstrate that our limits are typically far tighter than the Landauer limits per channel and are close to actual transmission eigenvalues by examining a model of phonon conduction in a one-dimensional chain. Our limits have ramifications for designing molecular junctions to optimize conduction.

Original languageEnglish (US)
Article number085405
JournalPhysical Review B
Issue number8
StatePublished - Aug 15 2020

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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