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arxiv: 2604.19203 · v1 · submitted 2026-04-21 · ❄️ cond-mat.mes-hall · physics.optics

When heat goes astray -- non-local heating in a semiconductor

Mahmoud Elhajhasan , Elena Trukhan , Katharina Dudde , Guillaume W\"ursch , Jana Lierath , Ian Rousseau , Rapha\"el Butt\'e , Nicolas Grandjean
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Nakib Haider Protik Giuseppe Romano Gordon Callsen
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Pith reviewed 2026-05-10 02:41 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall physics.optics
keywords non-local heatingballistic phonon transportsemiconductor membranesRaman thermometrythermal managementFourier's law
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The pith

Non-local heating in semiconductors can exceed local laser heating over several micrometers.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper shows that the usual rule in thermal management—that heat stays where the source is when the source is bigger than phonon mean free paths—does not hold on micrometer scales. Using focused laser heating on membranes with increasing numbers of interfaces and Raman thermometry to map lattice temperatures, the authors find that heat appears away from the laser spot. In some cases this distant heating is stronger than the heating right at the laser focus. They link the effect to phonons traveling ballistically without scattering, even well above cryogenic temperatures. This matters for device lifetime and performance because heat management starts at the source.

Core claim

The paradigm of heat locality breaks down on length scales spanning several micrometers. As a consequence, non-local heating occurs in contradiction to Fourier's law. When laterally structured semiconductor membranes with a rising number of interfaces are heated by a well-focused laser, the non-local heating can exceed the laser-induced local heating, which is attributed to ballistic phonon transport far above cryogenic temperatures.

What carries the argument

Ballistic phonon transport through interfaces in structured membranes that allows heat to propagate away from the laser spot without localizing.

Load-bearing premise

The common assumption that the heat source and the resulting heat spot locally coincide if their size exceeds the mean free paths of the phonons.

What would settle it

Temperature maps from Raman thermometry on uniform versus interface-rich membranes that show heating several micrometers from the laser spot exceeding the temperature at the laser focus itself.

Figures

Figures reproduced from arXiv: 2604.19203 by Elena Trukhan, Giuseppe Romano, Gordon Callsen, Guillaume W\"ursch, Ian Rousseau, Jana Lierath, Katharina Dudde, Mahmoud Elhajhasan, Nakib Haider Protik, Nicolas Grandjean, Rapha\"el Butt\'e.

Figure 1
Figure 1. Figure 1: Thermal imaging of a membrane edge by two-laser Raman thermometry (2LRT). [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Thermal imaging of a membrane corner and two suspended hexagons by 2LRT. [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: 2LRT imaging of suspended GaN hexagons, 2D-BTE simulations, and scheme of the LO phonon decay. (A) Temperature mapscan of a suspended hexagon (n = 6) that shows the edge heating for Tamb = 12 K (Si substrate temperature) and l = 30 μm. All other experimental parameters are the same as for Fig. 2E and F. Note that despite of the substrate cooling, the suspended hexagon’s temperatures exceed the ones shown i… view at source ↗
read the original abstract

Heating of semiconductor devices limits their performance and lifetime, which must be addressed by thermal management starting at the heat source. It is a common assumption that the heat source and the resulting heat spot locally coincide, if their size exceeds the mean free paths of the main heat carriers, the phonons. We show that this paradigm of heat locality breaks down on length scales spanning several micrometers. As a consequence, non-local heating occurs in contradiction to Fourier's law. Therefore, we heat laterally structured semiconductor membranes that feature a rising number of interfaces with a well-focussed laser and map-out lattice temperatures by Raman thermometry. Remarkably, the non-local heating can exceed the laser-induced local heating, which we attribute to ballistic phonon transport far above cryogenic temperatures.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The paper claims that the common assumption of local coincidence between heat source and heat spot breaks down on micrometer scales in semiconductor membranes. Using laser heating and Raman thermometry on laterally structured samples with increasing numbers of interfaces, they observe non-local heating that can exceed the direct laser-induced local heating, which they attribute to ballistic phonon transport far above cryogenic temperatures, in contradiction to Fourier's law.

Significance. If the observations are robust and the ballistic attribution holds after quantitative checks, the result would be significant for nanoscale thermal transport and device thermal management, as it implies that diffusive models fail on length scales relevant to many semiconductor structures even at elevated temperatures.

major comments (3)
  1. [Results] The central claim that non-local heating exceeds local heating and cannot be reproduced by diffusive transport requires explicit comparison to Fourier-law predictions. A finite-element or similar simulation of the expected temperature maps under the experimental geometry and interface conditions should be shown alongside the data to quantify the discrepancy.
  2. [Discussion] Alternative explanations such as interface-induced changes in optical absorption, Raman calibration shifts from strain or carrier density, or effective conductivity variations are not quantitatively excluded. The manuscript should include controls or modeling to rule these out at the observed length scales of several micrometers.
  3. [Discussion] The attribution to ballistic phonon transport would benefit from temperature- or size-dependent scaling that matches material-specific mean free path behavior, or from benchmarking against Boltzmann transport equation or Monte Carlo simulations for the relevant temperatures and dimensions.
minor comments (2)
  1. [Abstract] The abstract should specify the semiconductor material, the exact temperature range studied, and the number of interfaces used in the key experiments.
  2. [Figures] All temperature maps and line profiles should include error bars, scale bars, and explicit indication of the laser spot position relative to the measured non-local points.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for the constructive and detailed comments on our manuscript. We address each major point below, indicating the revisions we will implement to strengthen the presentation of our results on non-local heating.

read point-by-point responses

  1. Referee: [Results] The central claim that non-local heating exceeds local heating and cannot be reproduced by diffusive transport requires explicit comparison to Fourier-law predictions. A finite-element or similar simulation of the expected temperature maps under the experimental geometry and interface conditions should be shown alongside the data to quantify the discrepancy.

    Authors: We agree that an explicit quantitative comparison to diffusive transport is essential. In the revised manuscript we will add finite-element simulations of the temperature distribution assuming Fourier's law, employing the precise experimental geometry, thermal conductivities, and interface resistances. These simulated maps will be displayed alongside the Raman data to demonstrate that local diffusive transport cannot account for the observed non-local heating that exceeds the local laser-induced heating. revision: yes

  2. Referee: [Discussion] Alternative explanations such as interface-induced changes in optical absorption, Raman calibration shifts from strain or carrier density, or effective conductivity variations are not quantitatively excluded. The manuscript should include controls or modeling to rule these out at the observed length scales of several micrometers.

    Authors: We will add a new subsection that quantitatively addresses these alternatives. This will include direct measurements of optical absorption for the different lateral structures, analysis of Raman spectra to confirm negligible strain or carrier-density effects on the temperature calibration, and modeling demonstrating that plausible variations in effective conductivity cannot produce non-local heating exceeding the local value at micrometer scales. revision: yes

  3. Referee: [Discussion] The attribution to ballistic phonon transport would benefit from temperature- or size-dependent scaling that matches material-specific mean free path behavior, or from benchmarking against Boltzmann transport equation or Monte Carlo simulations for the relevant temperatures and dimensions.

    Authors: We will expand the discussion to include the observed scaling of non-local heating with the number of interfaces, which tracks the expected phonon mean-free-path length scale in the material at the experimental temperatures. While comprehensive Boltzmann transport equation or Monte Carlo simulations of the full multi-interface geometry lie outside the scope of the present experimental study, the size-dependent trends are consistent with ballistic transport dominating over diffusive transport on these length scales. revision: partial

standing simulated objections not resolved
  • Full benchmarking against Boltzmann transport equation or Monte Carlo simulations for the exact laterally structured membrane geometry and temperatures.

Circularity Check

0 steps flagged

No circularity: purely experimental attribution with no derivation chain

full rationale

The manuscript is an experimental study using laser heating and Raman thermometry on laterally structured GaN membranes to map non-local temperature rises. No equations, fitted parameters, or first-principles derivations are introduced that could reduce a claimed prediction back to its own inputs by construction. The attribution to ballistic phonon transport is an interpretive conclusion drawn from observed trends with interface count, not a mathematical result obtained via self-definition, renaming, or self-citation load-bearing steps. External benchmarks (prior phonon transport literature) are not invoked in a way that collapses the central claim into a tautology. This is the expected non-finding for an observational paper.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the standard assumption that heat locality holds when source size exceeds phonon mean free paths; the paper provides no new free parameters, axioms beyond domain knowledge, or invented entities.

axioms (1)
  • domain assumption Heat source and heat spot coincide locally when source size exceeds phonon mean free paths
    Explicitly stated as the common assumption that the work challenges.

pith-pipeline@v0.9.0 · 5467 in / 1091 out tokens · 36112 ms · 2026-05-10T02:41:39.054948+00:00 · methodology

discussion (0)

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