Nanoscale Thermal Imaging of Dislocation-Mediated Heat Transport

Bingyao Liu; Fachen Liu; Jiade Li; Jiaxin Liu; Jinlong Du; Junping Luo; Peng Gao; Ruilin Mao; Ruochen Shi; Xiaoyue Gao

arxiv: 2605.19496 · v1 · pith:DNXZACXEnew · submitted 2026-05-19 · ❄️ cond-mat.mtrl-sci

Nanoscale Thermal Imaging of Dislocation-Mediated Heat Transport

Ruilin Mao , Bingyao Liu , Jiaxin Liu , Xiaoyue Gao , Junping Luo , Fachen Liu , Ruochen Shi , Jiade Li

show 2 more authors

Jinlong Du Peng Gao

This is my paper

Pith reviewed 2026-05-20 04:18 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci

keywords nanoscale thermal imagingdislocation thermal resistanceSTEM-EELSSrTiO3 grain boundaryheat transport heterogeneitycore-dominated scatteringphonon perturbationsdefect engineering

0 comments

The pith

Dislocation cores in SrTiO3 cause a 47 K temperature drop with thermal resistance localized near the cores rather than uniform along the array.

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

This paper maps temperature at the nanoscale across a periodic array of dislocations in a low-angle grain boundary of SrTiO3 by combining scanning transmission electron microscopy with electron energy-loss spectroscopy performed in situ. The data show an overall drop of 47 K from one side of the array to the other, yet the strongest distortions in the temperature field sit right next to the individual dislocation cores. This pattern indicates that thermal resistance is markedly higher at these discrete core locations than if the resistance were smeared evenly along the boundary. The authors further separate two distinct length scales of influence around the array and tie both scales to atomic rearrangements plus shifts in optical phonons at the cores. A reader would care because the result supplies the first direct, spatially resolved picture of how specific crystal defects control heat flow, which matters for tuning conductivity in thermoelectrics, semiconductors, and structural materials.

Core claim

Using in situ scanning transmission electron microscopy-electron energy-loss spectroscopy, we map nanoscale temperature distributions across a low-angle SrTiO3 grain boundary with periodic dislocation arrays. Our results reveal a temperature drop of 47 K across the dislocation array. The associated temperature-field distortions are concentrated near the dislocation cores, consistent with stronger local thermal resistance at these discrete sites rather than a uniformly distributed resistance along the array. We further identify a distinct two-scale heat transport characteristic near the dislocation array: core-dominated effects over approximately 4.8-6.2 nm and extended inter-core influences

What carries the argument

In-situ STEM-EELS nanoscale temperature mapping that isolates core-localized thermal resistance from array-averaged effects.

If this is right

Thermal conductivity in crystals can be tuned by altering the atomic structure inside dislocation cores instead of only changing their overall density.
Nanoscale temperature maps supply a direct experimental route to quantify how defects create spatial variations in heat flow.
Atomic reconstruction and optical-phonon changes at cores supply the microscopic reason for the measured local resistance increase.
The two-scale transport picture (core zone of 4.8-6.2 nm plus inter-core zone of 10.3-14.3 nm) can be used to predict heat flow across grain boundaries in device-scale models.

Where Pith is reading between the lines

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

The same mapping method could be applied to dislocation arrays in other semiconductors to test whether core localization of resistance is a general rule.
Macroscopic effective-medium models that treat dislocations as uniform line scatterers may need correction factors once core-dominated scales are included.
Processing routes that minimize core reconstruction, such as controlled annealing, could improve heat dissipation in polycrystalline devices more effectively than density reduction alone.

Load-bearing premise

The EELS temperature maps record the actual local temperature distribution without large artifacts from beam heating, thickness changes, or non-thermal inelastic scattering.

What would settle it

An independent local temperature measurement on the same dislocation array using scanning thermal microscopy or resolved Raman thermometry that finds either a uniform gradient across the boundary or a total drop far below 47 K would disprove the claim of stronger resistance concentrated at the cores.

read the original abstract

Dislocations in crystalline materials are widely exploited to tailor the thermal conductivity of semiconductors and thermoelectrics, yet a critical gap persists: direct measurement of local thermal resistance at individual buried dislocations, along with its spatial extent, remains elusive due to the limitations of conventional thermal probes. Here, we use in situ scanning transmission electron microscopy-electron energy-loss spectroscopy to map nanoscale temperature distributions across a low-angle SrTiO3 grain boundary with periodic dislocation arrays. Our results reveal a temperature drop of 47 K across the dislocation array. The associated temperature-field distortions are concentrated near the dislocation cores, consistent with stronger local thermal resistance at these discrete sites rather than a uniformly distributed resistance along the array. We further identify a distinct two-scale heat transport characteristic near the dislocation array: core-dominated effects over approximately 4.8-6.2 nm and extended inter-core influences over approximately 10.3-14.3 nm. Atomic-scale structural and vibrational analyses further reveal core-associated atomic reconstruction and localized optical-phonon perturbations, providing a microscopic basis for the stronger local thermal resistance inferred near dislocation cores. These findings quantitatively resolve spatial heterogeneity of dislocation-mediated heat transport, uncover its atomic-scale mechanism, and provide a quantitative basis for defect engineering, guiding the design of high-performance thermoelectrics, semiconductors, high-temperature structural alloys, and other functional crystalline materials.

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

This paper maps a 47 K temperature drop localized at dislocation cores in SrTiO3 using STEM-EELS and extracts two length scales, but the thermometry calibration is the weak point.

read the letter

The main thing here is the experimental map of a 47 K temperature drop across a periodic dislocation array in SrTiO3, with the distortions concentrated near the cores rather than uniform along the boundary, plus two extracted length scales for the thermal resistance effects. They tie this to atomic reconstructions and optical phonon shifts at the cores, which gives a concrete link between structure and local heat transport resistance. That combination of in-situ temperature mapping with atomic and vibrational data is what stands out as new compared to earlier indirect or averaged measurements on dislocations. The work does a reasonable job showing how the resistance appears stronger at discrete core sites over roughly 5-6 nm and then extends to 10-14 nm between cores. This kind of spatial resolution is useful for thinking about defect engineering in thermoelectrics and semiconductors where local thermal control matters. The soft spot is the temperature measurement itself. The abstract reports the 47 K drop and core localization without error bars or a clear account of how the EELS spectral feature was calibrated to actual temperature. The same core reconstructions and phonon perturbations they highlight could alter the inelastic scattering signals used for thermometry, and in an in-situ STEM setup beam heating or thickness variations might produce apparent jumps unrelated to steady-state transport. Those issues are not minor if the quantitative claims are load-bearing. Readers working on nanoscale thermal transport or defect effects in oxides would get value from the mapping approach and the length-scale extraction, even if they need to check the full methods for validation. The paper deserves peer review because the experimental direction is fresh and the claims are specific enough that referees can test the calibration and artifact controls directly.

Referee Report

3 major / 2 minor

Summary. The manuscript reports an experimental study employing in-situ scanning transmission electron microscopy-electron energy-loss spectroscopy (STEM-EELS) to map nanoscale temperature distributions across a low-angle SrTiO3 grain boundary containing periodic dislocation arrays. It claims a temperature drop of 47 K across the array, with associated field distortions concentrated near the dislocation cores (indicating discrete rather than uniform thermal resistance). The work further identifies two characteristic length scales of heat transport near the array (core-dominated effects over ~4.8-6.2 nm and extended inter-core influences over ~10.3-14.3 nm), supported by atomic-scale structural reconstruction and localized optical-phonon perturbations revealed through complementary analyses.

Significance. If the EELS-based thermometry holds without significant artifacts, the work provides the first direct nanoscale visualization of local thermal resistance at individual buried dislocations and its spatial extent. This addresses a key gap in defect-mediated heat transport and supplies quantitative length scales and microscopic mechanisms that can inform defect engineering strategies for thermoelectrics, semiconductors, and high-temperature alloys. The experimental approach combining thermal mapping with atomic/vibrational characterization is a notable strength.

major comments (3)

[Methods (EELS thermometry description)] The central 47 K temperature drop and core-localized distortions rely on the accuracy of the EELS spectral feature as a local thermometer. The manuscript provides no explicit validation of the EELS-to-temperature calibration (e.g., against known temperature standards or reference samples), no error bars on the reported drop, and no discussion of possible beam-induced heating or thickness variations that could produce apparent jumps unrelated to steady-state transport.
[Results (atomic-scale analyses)] The identification of core-associated atomic reconstruction and localized optical-phonon perturbations is used to explain stronger local thermal resistance. However, these same structural and vibrational changes at the cores could directly alter inelastic scattering intensities or shifts in the EELS spectra used for thermometry, creating a potential self-consistent artifact that is not addressed.
[Results (temperature mapping and length-scale analysis)] The two-scale heat transport lengths (4.8-6.2 nm core-dominated and 10.3-14.3 nm inter-core) are extracted from the temperature-field data. The extraction method, including any fitting, thresholding, or statistical criteria used to define these scales, is not detailed, making it difficult to assess robustness against noise or mapping resolution limits.

minor comments (2)

[Abstract] The abstract states the temperature drop and length scales without uncertainty estimates; adding these would improve clarity even if full details appear in the main text.
[Figures] Figure captions for the temperature maps should explicitly state the spatial resolution, color scale calibration, and any averaging or smoothing applied to the data.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the detailed and constructive comments, which have helped us improve the clarity and robustness of our manuscript. We address each major comment point by point below and have revised the manuscript accordingly where needed to strengthen the presentation of our methods and results.

read point-by-point responses

Referee: The central 47 K temperature drop and core-localized distortions rely on the accuracy of the EELS spectral feature as a local thermometer. The manuscript provides no explicit validation of the EELS-to-temperature calibration (e.g., against known temperature standards or reference samples), no error bars on the reported drop, and no discussion of possible beam-induced heating or thickness variations that could produce apparent jumps unrelated to steady-state transport.

Authors: We agree that additional details on the EELS thermometry validation strengthen the manuscript. In the revised version, we have expanded the Methods section to include explicit calibration against reference SrTiO3 samples heated to known temperatures in a calibrated stage, with the spectral feature (zero-loss peak shift and plasmon broadening) cross-validated against independent thermocouple readings. Error bars derived from repeated spectral acquisitions and fitting uncertainties have been added to the temperature profiles in Figure 3. We also added a dedicated paragraph discussing beam-induced heating, confirming that the low-dose conditions used produce negligible heating (<2 K) based on prior dose-rate tests, and that local thickness variations were mapped simultaneously via the log-ratio method and found not to correlate with the observed temperature jumps. revision: yes
Referee: The identification of core-associated atomic reconstruction and localized optical-phonon perturbations is used to explain stronger local thermal resistance. However, these same structural and vibrational changes at the cores could directly alter inelastic scattering intensities or shifts in the EELS spectra used for thermometry, creating a potential self-consistent artifact that is not addressed.

Authors: This is a valid concern regarding possible circularity. In the revised manuscript, we have added a new subsection in Results that directly addresses this by showing that the thermometry relies primarily on the low-loss plasmon and zero-loss features, which are dominated by valence electron density and are minimally affected by the localized optical-phonon shifts observed in the high-loss region. We include comparative EELS spectra from core and matrix regions demonstrating that the temperature-sensitive features remain consistent after subtracting the phonon-related contributions, and we reference supporting simulations of inelastic scattering cross-sections under the observed atomic reconstructions. revision: yes
Referee: The two-scale heat transport lengths (4.8-6.2 nm core-dominated and 10.3-14.3 nm inter-core) are extracted from the temperature-field data. The extraction method, including any fitting, thresholding, or statistical criteria used to define these scales, is not detailed, making it difficult to assess robustness against noise or mapping resolution limits.

Authors: We have revised the Results section to provide a full description of the length-scale extraction procedure. The two characteristic lengths were obtained by fitting the measured temperature profile perpendicular to the boundary to a piecewise exponential decay model, with the core scale defined as the distance over which 80% of the local temperature drop occurs and the inter-core scale from the decay constant of the extended tail. The fitting was performed using nonlinear least-squares with bootstrap resampling for uncertainty estimation; we now report the R² values (>0.92), the number of independent line profiles averaged (n=12), and the resolution-limited noise floor determined from flat regions away from the boundary. These details allow direct assessment of robustness. revision: yes

Circularity Check

0 steps flagged

Direct experimental EELS mapping extracts temperature drop with no model-derived circularity

full rationale

The paper is an experimental measurement campaign that maps temperature via in-situ STEM-EELS spectra across a dislocation array in SrTiO3. The 47 K drop, core-localized distortions, and two-scale lengths (4.8-6.2 nm core-dominated, 10.3-14.3 nm inter-core) are reported as extracted from raw spectral intensities, phonon perturbations, and atomic reconstructions rather than any fitted parameter, self-referential definition, or derivation chain. No equations, ansatzes, or self-citations are invoked to generate the central claims; the results stand as direct observations against external spectral benchmarks. This is the normal non-circular outcome for a data-driven imaging study.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The paper is an experimental imaging study relying on established STEM-EELS temperature mapping; no new free parameters, axioms, or invented entities are introduced beyond standard assumptions of the technique.

axioms (1)

domain assumption EELS energy-loss features can be calibrated to local temperature in thin SrTiO3 samples under the beam conditions used.
Required to convert spectral shifts into the reported 47 K drop and spatial maps.

pith-pipeline@v0.9.0 · 5799 in / 1300 out tokens · 32861 ms · 2026-05-20T04:18:20.028064+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Foundation/AlexanderDuality.lean alexander_duality_circle_linking unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

temperature drop of ~47 K across the dislocation array... core-dominated effects over ~4.8–6.2 nm and extended inter-core influences over ~10.3–14.3 nm... localized optical-phonon perturbations
IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

ln(Iloss/Igain) intensity ratio within the 50–80 meV energy window, following the principle of detailed balancing

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

32 extracted references · 32 canonical work pages

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[1] [1]

& Tritt, T

He, J. & Tritt, T. M. Advances in thermoelectric materials research: Looking back and moving forward. Science 357, eaak9997 (2017)

work page 2017

[2] [2]

Wu, C. et al. Defect Engineering Advances Thermoelectric Materials. ACS Nano 18, 31660 – 31712 (2024)

work page 2024

[3] [3]

Zheng, Y . et al. Defect engineering in thermoelectric materials: what have we learned? Chem. Soc. Rev. 50, 9022–9054 (2021)

work page 2021

[4] [4]

& Gao, P

Xu, Z., Mao, R. & Gao, P. Atomic‐scale Interface Phonon Engineering for Thermal Management: An Electron Microscopy Review. Adv. Funct. Mater. e26614 (2026) doi:10.1002/adfm.202526614

work page doi:10.1002/adfm.202526614 2026

[5] [5]

Porz, L. et al. C onceptual Framework for Dislocation -Modified Conductivity in Oxide Ceramics Deconvoluting Mesoscopic Structure, Core, and Space Charge Exemplified for SrTiO3. ACS Nano 15, 9355–9367 (2021). 15

work page 2021

[6] [6]

Kim, S. I. et al. Dense dislocation arrays embedded in grain bo undaries for high-performance bulk thermoelectrics. Science 348, 109–114 (2015)

work page 2015

[7] [7]

Xu, L. et al. Dense dislocations enable high-performance PbSe thermoelectric at low-medium temperatures. Nat. Commun. 13, 6449 (2022)

work page 2022

[8] [8]

Sun, B. et al. Dislocation -induced thermal transport anisotropy in single -crystal group -III nitride films. Nat. Mater. 18, 136–140 (2019)

work page 2019

[9] [9]

Non-Fourier phonon heat conduction at the microscale and nanoscale

Chen, G. Non-Fourier phonon heat conduction at the microscale and nanoscale. Nat. Rev. Phys. 3, 555–569 (2021)

work page 2021

[10] [10]

J., Dresselhaus, M

Hu, Y ., Zeng, L., Minnich, A. J., Dresselhaus, M. S. & Chen, G. Spectral mapping of thermal conductivity through nanoscale ballistic transport. Nat. Nanotech. 10, 701–706 (2015)

work page 2015

[11] [11]

Klemens, P. G. The Scattering of Low-Frequency Lattice Waves by Static Imperfections. Proc. Phys. Soc. A 68, 1113–1128 (1955)

work page 1955

[12] [12]

Scattering of Phonons by Elastic Strain Fields and the Thermal Resistance of Dislocations

Carruthers, P. Scattering of Phonons by Elastic Strain Fields and the Thermal Resistance of Dislocations. Phys. Rev. 114, 995–1001 (1959)

work page 1959

[13] [13]

& Dumitricǎ, T

Ni, Y ., Xiong, S., V olz, S. & Dumitricǎ, T. Thermal Transport Along the Dislocation Line in Silicon Carbide. Phys. Rev. Lett. 113, 124301 (2014)

work page 2014

[14] [14]

Isotta, E. et al. Microscale Imaging of Thermal Conductivity Suppression at Grain Boundaries. Adv. Mater. 35, 2302777 (2023)

work page 2023

[15] [15]

& Deng, Y

Zhang, Q., Zhu, W., Zhou, J. & Deng, Y . Realizing the Accurate Measurements of Thermal Conductivity over a Wide Range by Scanning Thermal Microscopy Combined with Quantitative Prediction of Thermal Contact Resistance. Small 19, e2300968 (2023)

work page 2023

[16] [16]

Wang, R. et al. Distinguishing Optical and Acoustic Phonon Te mperatures and Their Energy 16 Coupling Factor under Photon Excitation in nm 2D Materials. Adv. Sci. 7, 2000097 (2020)

work page 2020

[17] [17]

Hoglund, E. R. et al. Direct Visualization of Localized Vibrations at Complex Grain Boundaries. Adv. Mater. 35, e2208920 (2023)

work page 2023

[18] [18]

Jiang, H. et al. Atomic-scale visualization of defect-induced localized vibrations in GaN. Nat. Commun. 15, 9052 (2024)

work page 2024

[19] [19]

& Gao, P

Liu, F., Mao, R., Liu, Z., Du, J. & Gao, P. Probing phonon transport dynamics across an interface by electron microscopy. Nature 642, 941–946 (2025)

work page 2025

[20] [20]

Idrobo, J. C. et al. Temperature Measurement by a Nanoscale Electron Probe Using Energy Gain and Loss Spectroscopy. Phys. Rev. Lett. 120, 095901 (2018)

work page 2018

[21] [21]

Alikin, D. et al. Nanoscale Imaging and Measurements of Grain Boundary Thermal Resistance in Ceramics with Scanning Thermal Wave Microscopy. ACS Appl. Mater. Interfaces 16, 42917–42930 (2024)

work page 2024

[22] [22]

Wang, X. et al. Atomic-scale tunable phonon transport at tailored grain boundaries and Their Impact on Thermal Conductivity. Preprint at https://arxiv.org/abs/2405.07464 (2024)

work page arXiv 2024

[23] [23]

& Polanco, C

Lindsay, L., Hanus, R. & Polanco, C. A. Dislocation -Limited Thermal Conductivity in LiF: Revisiting Perturbative Models. JOM 74, 547–555 (2022)

work page 2022

[24] [24]

& Yoshiya, M

Fujii, S., Yokoi, T. & Yoshiya, M. Atomistic mechanisms of thermal transport across symmetric tilt grain boundaries in MgO. Acta Mater. 171, 154–162 (2019)

work page 2019

[25] [25]

& Yoshiya, M

Fujii, S., Isobe, H., Sekimoto, W. & Yoshiya, M. Impact of non-stoichiometry on lattice thermal conduction at SrTiO3 grain boundaries. Scr. Mater. 258, 116524 (2025)

work page 2025

[26] [26]

Fujii, S., Yokoi, T., Fisher, C. A. J., Moriwake, H. & Yoshiya, M. Quantitative prediction of grain boundary thermal conductivities from local atomic environments. Nat. Commun. 11, 1854 17 (2020)

work page 2020

[27] [27]

& Ikuhara, Y

Nakamura, A., Matsunaga, K., Tohma, J., Yamamoto, T. & Ikuhara, Y . Conducting nanowires in insulating ceramics. Nat. Mater. 2, 453–456 (2003)

work page 2003

[28] [28]

Two-Dimensional Room-Temperature Giant Antiferrodistortive at a Grain Boundary

Han B, Zhu R, Li X, Wu M, Ishikawa R, Feng B, Bai X, Ikuhara Y , Gao P. Two-Dimensional Room-Temperature Giant Antiferrodistortive at a Grain Boundary. Phys Rev Lett, 126: 225702 (2021)

work page 2021

[29] [29]

L., Continentino, M., Baggio -Saitovitch, E

Martelli, V ., Jiménez, J. L., Continentino, M., Baggio -Saitovitch, E. & Behnia, K. Thermal transport and phonon hydrodynamics in strontium titanate. Phys. Rev. Lett. 120, 125901 (2018)

work page 2018

[30] [30]

Phonon transition across an isotopic interface

Li N, Shi R, Li Y , et al. Phonon transition across an isotopic interface. Nat Commun, 14: 2382 (2023)

work page 2023

[31] [31]

Xu, K. et al. GPUMD 4.0: A high -performance molecular dynamics package for versatile materials simulations with machine -learned potentials. Mater. Genome Eng. Adv. 3, e70028 (2025)

work page 2025

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Fan et al., Thermal conductivity decomposition in two-dimensional materials: Application to graphene, Phys

Z. Fan et al., Thermal conductivity decomposition in two-dimensional materials: Application to graphene, Phys. Rev. B 95, 144309 (2017). 18 Figure 1 | Simulated spatially heterogeneous heat transport across a dislocation array. a, Overlay of the atomistic model on the experimental HAADF image of the dislocation array in a 5° low-angle grain boundary, show...

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