arxiv: 2605.00587 · v1 · submitted 2026-05-01 · ⚛️ physics.optics · cond-mat.mes-hall

Suppressing Plasmonic Heating in Aqueous Environments with Hexagonal Boron Nitride

Martina Russo , Roland van der Vegt , Bohai Liu , Sam Beijers , Sara Salera , Guillaume Baffou , Klaas-Jan Tielrooij , Peter Zijlstra This is my paper

Pith reviewed 2026-05-09 18:59 UTC · model grok-4.3

classification ⚛️ physics.optics cond-mat.mes-hall

keywords plasmonic heatinghexagonal boron nitridethermal managementgold nanoparticlesaqueous environmentsnanothermometryheat dissipation pathways

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The pith

Hexagonal boron nitride reduces the temperature rise around heated gold nanoparticles by up to 60 percent in water.

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

The paper shows that thin flakes of hexagonal boron nitride placed under gold nanospheres on glass can act as heat spreaders to lower the local temperature increase caused by plasmonic heating when the particles are surrounded by water. Simulations explore how flake thickness, in-plane heat flow, and boundary resistance between layers control the cooling, while experiments map the actual temperatures using an optical wavefront technique. A sympathetic reader would care because plasmonic structures are used in biosensing and nanophotonics where excess heat can degrade performance or damage samples, and conventional cooling methods do not work well at these small scales.

Core claim

Incorporating hexagonal boron nitride thin flakes suppresses the temperature rise around optically heated gold nanospheres in aqueous environments by up to 60 percent relative to glass substrates alone. Finite-element simulations quantify that cooling depends strongly on flake thickness, limited by heat capacity in thin flakes and by interfacial thermal conductance in thick flakes. Experiments with cross-grating wavefront microscopy confirm the reduction and show two heat-dissipation routes: a direct path from the nanoparticle into the hBN and an indirect path through the surrounding water into the hBN. This supplies design rules for placing 2D materials in plasmonic platforms.

What carries the argument

hexagonal boron nitride thin flakes used as passive heat spreaders that improve dissipation from plasmonically heated gold nanospheres via direct and indirect pathways

If this is right

Heat leaves the nanoparticles along a direct route into the hBN and an indirect route through water into the hBN.
Cooling strength varies sharply with hBN thickness: thin flakes are limited by their own heat capacity while thick flakes are limited by the interface resistance.
The method supplies practical thickness guidelines for placing 2D materials in heat-sensitive plasmonic devices such as biosensors.
The optical temperature-mapping technique can also characterize non-absorbing 2D layers without contact.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The same hBN layer could support higher light intensities in water-based sensors before heat damage occurs.
Other layered materials with high in-plane conductivity might be tested in similar nanoparticle setups to compare cooling performance.
The observed thickness crossover point could be used to choose flake size during device fabrication for a target operating temperature.

Load-bearing premise

The simulations must correctly predict heat flow across the material boundaries, and the temperature maps must accurately reflect the local heating without distortion from the layers or the water.

What would settle it

An independent temperature measurement around the same gold nanoparticles, performed with and without the hBN flakes and showing no temperature reduction or a thickness dependence different from the simulations, would show the claimed cooling effect does not occur.

Figures

Figures reproduced from arXiv: 2605.00587 by Bohai Liu, Guillaume Baffou, Klaas-Jan Tielrooij, Martina Russo, Peter Zijlstra, Roland van der Vegt, Sam Beijers, Sara Salera.

**Figure 1.** Figure 1: Illustration of the concept of laser heating and thermal management by hBN, and of the sample preparation. Plasmonic nanoparticles on glass (a) irradiated by a laser undergo an intense temperature increase. The addition of an hBN underneath the particles (b) results in an efficient heat dissipation, leading to a lower temperature increase. (c) Cartoon illustrating the sample preparation workflow. hBN flak… view at source ↗

**Figure 2.** Figure 2: Simulations framework and main results. (a) Illustration of the simulated system, consisting of a 100 nm diameter GNP immobilized on a hBN flake, with thickness thBN and in-plane conductivity k ∥ hBN, on glass. The contact area between the GNP and the hBN is described by the fraction f. The figure depicts the interfacial thermal conductance G of all the interfaces in the system. (b) Example distribution of… view at source ↗

**Figure 3.** Figure 3: Experimental setup and measurements workflow. (a) Schematic working principle of the CGM technique and its application to measure the temperature increase of optically heated plasmonic nanoparticles. (b) Schematic of the optical setup used for CGM measurements. (c) Raw image of the OPD of a 100 nm GNP irradiated by the heating laser. (d) Measured radial profile (orange data points) of the OPD distribution … view at source ↗

**Figure 4.** Figure 4: Workflow of the CGM data processing to characterize the hBN flakes thickness. (a) Transmission intensity (a) and OPD map (b) of a hBN flake (thBN = 37 nm). (c) Profile of the transmission intensity and OPD along the dashed lines in figures (a) and (b). (d) Comparison of the thickness characterization obtained from CGM and AFM measurements. Each data point represents one of the 11 measured flakes, with thic… view at source ↗

**Figure 5.** Figure 5: Overview of thickness dependence experimental results. Measured temperature increase of GNPs on glass (a) and hBN (thBN = 52 nm) (b) for increasing power densities. The average temperature increase of all the particles is described using a linear function. Insets show some example temperature maps for glass and hBN, respectively (scale bar of 1 µm). (c) Resulting experimental cooling factor as a function o… view at source ↗

**Figure 6.** Figure 6: TOC graphic. 19 view at source ↗

read the original abstract

Optical heating of plasmonic nanostructures is a critical challenge in nanoscale systems. Although plasmonic effects enable enhanced optical functionalities, the associated temperature rise can degrade performance in heat-sensitive applications such as biosensing, nanophotonics, and microelectronics. Conventional cooling strategies fail at these scales due to limited heat transport and high interfacial thermal resistance, motivating the integration of advanced materials for thermal management. Here, we investigate hexagonal boron nitride (hBN) thin flakes as heat spreaders to mitigate plasmonic heating of gold nanospheres immobilized on hBN deposited on glass and surrounded by water. Using finite-element simulations, we quantify the influence of hBN thickness, in-plane thermal conductivity, and interfacial thermal conductance on cooling efficiency. Complementary experiments employ cross-grating wavefront microscopy (CGM) for nanothermometry to map the temperature around optically heated gold nanoparticles and quantify the cooling effect of hBN. We extend the application of CGM for rapid, non-invasive, and all-optical characterization of non-absorbing 2D materials. Our results reveal a strong thickness dependence, where heat dissipation in thin flakes is limited by the heat capacity of hBN and in thick flakes by interfacial thermal conductance. Including hBN, we obtain a reduction in temperature rise by up to 60% compared to glass. In addition, the presence of two main heat dissipation pathways emerges: a direct one from the nanoparticle to the hBN and an indirect one from the particle via water to the hBN. This combined simulation-experiment framework offers a versatile approach to improve thermal management in plasmonic systems and beyond, establishing design guidelines for integrating 2D materials into thermally sensitive platforms such as biosensors and integrated circuits.

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.

Desk Editor's Note private letter to a colleague

hBN reduces plasmonic heating by 60% in water, backed by sims and CGM maps, but the thin-flake heat-capacity story is physically off for steady state.

read the letter

The paper's core result is a measured and simulated drop in local temperature rise of up to 60% when gold nanospheres sit on hBN instead of plain glass, all in water. That number comes from both finite-element modeling and cross-grating wavefront microscopy temperature maps, and it holds across a range of hBN thicknesses. They do a decent job mapping out how thickness, in-plane conductivity, and interfacial conductance affect the cooling. The dual heat pathways—one direct from particle to hBN, one via water—are a useful observation for design. Extending CGM to characterize these 2D layers without absorption is also a practical addition. The main weakness is in the physical picture for the thickness dependence. The abstract claims thin flakes are limited by hBN heat capacity while thick ones are limited by interfacial conductance. But the steady-state heat equation used in the simulations has no time derivative and no heat capacity in it. Heat capacity only controls transient response, not the equilibrium temperature under continuous illumination. This mismatch suggests the mechanistic conclusions are on shaky ground, even if the numerical reduction is real. They may have mixed up transient and steady behavior or need to rephrase what limited by means in the thin limit. The simulations treat interfacial conductance as a free parameter, so they are not fully ab initio. The experimental side would benefit from more detail on uncertainties and possible optical artifacts in the CGM data. This work is aimed at the plasmonic nanophotonics and biosensing community that cares about local heating limits. A reader who needs concrete guidance on using hBN for thermal management in aqueous setups will get value from the numbers and the method. It is worth sending to peer review because the experimental finding is concrete and the CGM application is novel enough to warrant checking, despite the interpretation issue that can be addressed in revision.

Referee Report

2 major / 3 minor

Summary. The paper investigates hexagonal boron nitride (hBN) thin flakes as heat spreaders to suppress plasmonic heating of gold nanospheres on glass in aqueous environments. Finite-element simulations quantify the effects of hBN thickness, in-plane thermal conductivity, and interfacial thermal conductance on cooling. Experiments use cross-grating wavefront microscopy (CGM) nanothermometry to map local temperatures and confirm the cooling effect. The central results are a strong thickness dependence of the cooling and a maximum 60% reduction in temperature rise relative to bare glass, with two identified heat-dissipation pathways (direct nanoparticle-to-hBN and indirect via water).

Significance. A robust demonstration of 60% plasmonic cooling via hBN would be significant for thermal management in biosensing, nanophotonics, and integrated optics where local heating limits performance. The extension of CGM to rapid, all-optical characterization of non-absorbing 2D materials is a useful methodological contribution. However, the mechanistic interpretation of the thickness dependence appears inconsistent with the steady-state heat equation, which limits the strength of the derived design guidelines even if the numerical reduction holds.

major comments (2)

Abstract: the claim that 'heat dissipation in thin flakes is limited by the heat capacity of hBN' contradicts the steady-state heat equation solved by the finite-element method (∇ · (k ∇T) = −Q). Volumetric heat capacity ρc appears only in the transient term ρc ∂T/∂t and does not affect the steady temperature rise under continuous illumination. This indicates either a transient component retained in the simulations or an incorrect physical picture of the two dissipation pathways, weakening the mechanistic conclusions and design guidelines even if the raw 60% figure is numerically correct.
Abstract and results: the reported 60% reduction and thickness dependence rest on free parameters (hBN thickness, in-plane k, interfacial thermal conductance) whose values are not shown to be independently constrained by experiment. Without explicit comparison of simulated versus measured temperature maps (including error analysis and calibration of CGM for possible optical artifacts from hBN or water), it is unclear whether the central number is robust or sensitive to post-hoc parameter choices.

minor comments (3)

Clarify throughout whether all simulations are strictly steady-state or include any time-stepping; if the latter, state the criterion used to declare convergence to steady state.
Add explicit discussion of possible optical artifacts in CGM measurements when hBN flakes are present (e.g., refractive-index mismatch or scattering).
Provide the full set of material parameters used in the finite-element model (including values and sources for interfacial conductances) in a dedicated table or methods subsection.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful review and constructive feedback. The comments have helped us improve the clarity of our mechanistic description and strengthen the presentation of experimental validation. We address each point below.

read point-by-point responses

Referee: Abstract: the claim that 'heat dissipation in thin flakes is limited by the heat capacity of hBN' contradicts the steady-state heat equation solved by the finite-element method (∇ · (k ∇T) = −Q). Volumetric heat capacity ρc appears only in the transient term ρc ∂T/∂t and does not affect the steady temperature rise under continuous illumination. This indicates either a transient component retained in the simulations or an incorrect physical picture of the two dissipation pathways, weakening the mechanistic conclusions and design guidelines even if the raw 60% figure is numerically correct.

Authors: We agree that referencing heat capacity for steady-state dissipation is imprecise. Our finite-element simulations solve the steady-state heat equation; the observed thickness dependence arises from geometry-dependent lateral thermal spreading resistance within the hBN layer, which grows with thickness until the interfacial thermal conductance becomes the limiting factor. The two dissipation pathways (direct nanoparticle-to-hBN and indirect via water) remain valid. We have revised the abstract and results sections to remove any reference to heat capacity and to describe the mechanisms strictly in terms of thermal resistance and conductance. This correction improves the mechanistic interpretation without altering the numerical results. revision: yes
Referee: Abstract and results: the reported 60% reduction and thickness dependence rest on free parameters (hBN thickness, in-plane k, interfacial thermal conductance) whose values are not shown to be independently constrained by experiment. Without explicit comparison of simulated versus measured temperature maps (including error analysis and calibration of CGM for possible optical artifacts from hBN or water), it is unclear whether the central number is robust or sensitive to post-hoc parameter choices.

Authors: hBN flake thicknesses were measured directly by AFM and optical contrast for each experimental data point. In-plane thermal conductivity and interfacial conductance values are taken from established literature for hBN-glass and hBN-water interfaces, with a sensitivity analysis already present in the supplementary information demonstrating that the reported cooling effect remains stable across plausible parameter ranges. In the revised manuscript we have added side-by-side comparisons of simulated and CGM-measured temperature profiles for representative particles, including error bars derived from CGM calibration and an explicit discussion of potential optical artifacts introduced by hBN or the aqueous medium. These additions confirm the robustness of the 60 % figure. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper derives its central results—the up to 60% temperature reduction and thickness-dependent cooling—from finite-element simulations of the steady-state heat equation and independent CGM nanothermometry experiments. No step reduces a claimed prediction or first-principles result to a fitted parameter or self-citation by construction. The reported design guidelines and pathway analysis follow directly from the numerical outputs and measured maps rather than being equivalent to the inputs. While the physical attribution of thin-flake behavior to heat capacity (rather than conductance) may be inconsistent with the steady-state formulation used, this is a modeling-interpretation issue, not a circularity in the derivation chain.

Axiom & Free-Parameter Ledger

3 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard continuum heat-transport equations plus measured or literature values for hBN thermal properties; no new entities are postulated.

free parameters (3)

hBN thickness
Varied parametrically in simulations to map cooling efficiency.
in-plane thermal conductivity of hBN
Treated as a variable input to quantify its influence on heat spreading.
interfacial thermal conductance
Key parameter controlling heat flow at nanoparticle-hBN and hBN-glass boundaries.

axioms (2)

domain assumption Heat transport obeys the continuum Fourier law at the nanoparticle scale.
Invoked implicitly by the finite-element model described in the abstract.
domain assumption Cross-grating wavefront microscopy provides accurate, non-contact temperature maps around the nanoparticles.
Required for the experimental quantification of cooling.

pith-pipeline@v0.9.0 · 5641 in / 1428 out tokens · 32482 ms · 2026-05-09T18:59:26.366434+00:00 · methodology

discussion (0)

Reference graph

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