Quantum Statistics and Structural Topology Govern Thermal Transport in Two-Dimensional Monolayer Amorphous Carbon

Gizem Kurt; Haldun Sevincli

arxiv: 2606.01408 · v1 · pith:6AFUQNOKnew · submitted 2026-05-31 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci

Quantum Statistics and Structural Topology Govern Thermal Transport in Two-Dimensional Monolayer Amorphous Carbon

Gizem Kurt , Haldun Sevincli This is my paper

Pith reviewed 2026-06-28 16:06 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sci

keywords monolayer amorphous carbonquantum thermal conductivityamorphous 2D materialsvibrational modesstructural topologythermal transportclassical vs quantum

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The pith

Quantum statistics cut the thermal conductivity of two-dimensional monolayer amorphous carbon to less than half its classical value at room temperature.

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

This paper calculates the thermal conductivity of monolayer amorphous carbon using a fully quantum mechanical approach instead of classical approximations. It generates multiple structures with different degrees of disorder using three amorphization methods and tracks how the local bond order parameter q3 and temperature affect heat transport. The central result is that quantum effects suppress thermal conductivity significantly compared to classical predictions, bringing the room-temperature values into agreement with experiments. This shows that both the amorphous structure and quantum statistics play essential roles in determining heat flow in these 2D materials.

Core claim

In two-dimensional monolayer amorphous carbon, the quantum thermal conductivity is less than half of the classical value at room temperature and up to nearly an order of magnitude lower at low temperatures. The predicted room-temperature values range from 3.5 to 10 W/m/K depending on the degree of amorphization, and the vibrational modes exhibit distinct polarization behavior while falling into propagons, diffusons, and locons categories.

What carries the argument

The local bond order parameter q3 used to quantify amorphization in configurations generated by three distinct algorithms, combined with a fully quantum mechanical calculation of thermal conductivity from vibrational modes.

If this is right

At room temperature, classical treatments overestimate the thermal conductivity by more than a factor of two.
At low temperatures, the overestimation can reach nearly an order of magnitude.
Thermal conductivity values between 3.5 and 10 W/m/K at room temperature match recent experimental observations.
The degree of amorphization, as measured by q3, influences the thermal conductivity across different structural topologies.
Vibrational modes in these structures show usual classifications but with distinct polarization characteristics.

Where Pith is reading between the lines

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

Similar quantum suppression might occur in other two-dimensional amorphous materials, suggesting a need to revisit classical simulations for them.
The difference in mode polarization could influence interactions with electrons or photons in these structures.
Since multiple amorphization methods yield consistent trends, the findings may apply broadly to real monolayer amorphous carbon samples.

Load-bearing premise

The three amorphization algorithms produce MAC configurations whose vibrational spectra and thermal transport are representative of experimentally realizable monolayer amorphous carbon.

What would settle it

A measurement showing that the thermal conductivity of monolayer amorphous carbon at room temperature exceeds 20 W/m/K or matches classical predictions at low temperatures would contradict the quantum calculation.

Figures

Figures reproduced from arXiv: 2606.01408 by Gizem Kurt, Haldun Sevincli.

**Figure 2.** Figure 2: Mode participation ratios (PRs) for 3C-GM and NC@RN structures with order [PITH_FULL_IMAGE:figures/full_fig_p019_2.png] view at source ↗

**Figure 3.** Figure 3: (a) Polarization spheres of 2D crystalline graphene (all modes) and amorphous [PITH_FULL_IMAGE:figures/full_fig_p020_3.png] view at source ↗

**Figure 4.** Figure 4: Classical and quantum mechanical weight functions are plotted as a function of [PITH_FULL_IMAGE:figures/full_fig_p021_4.png] view at source ↗

**Figure 5.** Figure 5: The ratio of classical and quantum thermal conductivities in MAC with [PITH_FULL_IMAGE:figures/full_fig_p022_5.png] view at source ↗

read the original abstract

We investigate the quantum thermal conductivity (TC) of two-dimensional monolayer amorphous carbon (MAC). We employ three distinct amorphization algorithms to generate various possible MAC configurations, ranging from Zachariasen-type continuous random networks to nanocrystallites embedded in random networks. The local bond order parameter, q3, is used to quantify the amorphousness of the structures, and TC is computed as functions of q3 and temperature. This framework enables us to assess how structural topology, degree of amorphization, and quantum statistics contribute to heat conduction in a two-dimensional amorphous solid. At room temperature, TC values are predicted to range between 3.5 to 10 W/m/K, in agreement with recent experiments. Analysis of vibrational modes reveals that, while the modes of these 2D amorphous structures fall into the usual categories, namely, propagons, diffusons, and locons, their polarization characteristics display distinct behavior. Owing to the fully quantum mechanical framework, we examine both low- and high-temperature characteristics of this 2D amorphous system. By examining the classical limit, we show that classical treatments substantially overestimate the TC of MAC; namely, the quantum TC is less than half of the classical value at room temperature and up to nearly an order of magnitude lower at low 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.

Desk Editor's Note private letter to a colleague

The paper finds quantum statistics suppress TC in monolayer amorphous carbon by a factor of two or more versus classical, with values matching some experiments, but the generated structures' match to real samples is the main uncertainty.

read the letter

The key point here is that quantum effects cut the thermal conductivity of these 2D amorphous carbon sheets to less than half the classical value at 300 K and up to an order of magnitude lower at low temperatures. The computed room-temperature range of 3.5–10 W/m/K lines up with cited experiments, and the work tracks how this changes with the q3 amorphization metric across three different generation methods.

What stands out as new is the side-by-side use of multiple amorphization routes (Zachariasen-type networks to nanocrystallite embeddings), the explicit quantum-versus-classical comparison on the same configurations, and the note on how polarization of the propagons, diffusons, and locons differs from crystalline cases. The temperature dependence and the classical-limit analysis are carried through cleanly enough to make the suppression claim quantitative rather than hand-wavy.

The main soft spot is whether the generated networks are representative enough for the quantum-classical ratio to hold for actual samples. The abstract reports TC agreement with experiment but does not show direct checks on radial distribution functions, bond-angle statistics, or measured vibrational spectra. If the simulated disorder is systematically higher or lower than real MAC, both the absolute TC numbers and the size of the quantum correction could shift. That is the load-bearing assumption flagged in the stress-test note, and it is not minor.

This is useful reading for anyone modeling heat flow in disordered 2D materials or designing thermal devices around amorphous carbon. The mode classification and the clear quantum-classical split give a reader concrete numbers to test against their own calculations. It is not a foundational rethink of transport theory, but the numerical results and the amorphization scan are solid enough to warrant referee time rather than a desk reject.

Referee Report

1 major / 1 minor

Summary. The manuscript investigates quantum thermal conductivity (TC) of 2D monolayer amorphous carbon (MAC) generated via three amorphization algorithms. TC is computed versus the local bond-order parameter q3 and temperature; room-temperature values are reported in the 3.5–10 W/m/K range, stated to agree with recent experiments. Vibrational modes are classified as propagons, diffusons, and locons with distinct polarization properties. By comparing to the classical limit, the work claims that quantum statistics suppress TC by more than a factor of two at 300 K and up to nearly an order of magnitude at low temperatures.

Significance. If the generated configurations are representative, the result would establish that classical treatments substantially overestimate TC in 2D amorphous solids and would supply a topology- and amorphization-dependent framework for quantum transport. The use of multiple generation algorithms and a fully quantum treatment of the mode spectrum constitute clear strengths.

major comments (1)

[Structure-generation and validation sections (implicit in abstract and methods)] The central claim that the reported quantum-to-classical TC ratio applies to experimentally realizable MAC rests on the assumption that the three amorphization algorithms produce structures whose vibrational density of states, mode diffusivities, and polarization match real samples. No direct validation (RDF, bond-angle distributions, or measured vibrational spectra) against the cited experiments is provided; this is load-bearing for the factor-of-two to order-of-magnitude suppression result.

minor comments (1)

[Abstract] The abstract states agreement with experiments but supplies neither error bars on the computed TC values nor explicit citations to the experimental TC data points being compared.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the detailed and constructive report. We address the major comment below regarding structural validation.

read point-by-point responses

Referee: [Structure-generation and validation sections (implicit in abstract and methods)] The central claim that the reported quantum-to-classical TC ratio applies to experimentally realizable MAC rests on the assumption that the three amorphization algorithms produce structures whose vibrational density of states, mode diffusivities, and polarization match real samples. No direct validation (RDF, bond-angle distributions, or measured vibrational spectra) against the cited experiments is provided; this is load-bearing for the factor-of-two to order-of-magnitude suppression result.

Authors: We agree that explicit comparisons of radial distribution functions, bond-angle distributions, and vibrational spectra to the cited experiments would provide stronger direct evidence that the generated structures are representative. The manuscript currently relies on the agreement between computed room-temperature TC values (3.5–10 W/m/K) and recent experiments, together with the use of three distinct amorphization algorithms spanning Zachariasen-type networks to nanocrystallite-embedded structures, as indirect support for applicability. We acknowledge that this leaves the quantum-to-classical suppression claim somewhat dependent on the unverified assumption that mode diffusivities and polarization statistics match experiment. In the revised manuscript we will add a new subsection comparing the structural metrics (RDF, bond-angle distributions) of our configurations to available literature data on MAC and note the absence of direct experimental vibrational spectra as a limitation. This constitutes a partial revision that clarifies the evidential basis without new computations. revision: partial

Circularity Check

0 steps flagged

No circularity: computational chain from structure generation to quantum TC is self-contained

full rationale

The paper generates MAC configurations via three amorphization algorithms, quantifies disorder with the standard local bond-order parameter q3, computes vibrational mode spectra and diffusivities, then applies a fully quantum mechanical framework (with explicit classical limit) to obtain TC(T, q3). The reported quantum-to-classical ratio follows directly from evaluating the same mode-based expression in the ħ→0 limit; no fitted parameter is relabeled as a prediction, no self-citation supplies a uniqueness theorem, and no ansatz is smuggled. The agreement with experiment is an external benchmark, not an internal tautology. The derivation therefore remains independent of its own outputs.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Only the abstract is available, so the ledger is limited to elements explicitly named: q3 as a standard local bond-order parameter and the three amorphization algorithms as domain-standard tools for generating disordered networks.

axioms (1)

domain assumption The vibrational modes of 2D amorphous solids can be classified as propagons, diffusons, and locons
Invoked when analyzing mode character; this is a standard classification in the field of disordered solids.

pith-pipeline@v0.9.1-grok · 5767 in / 1300 out tokens · 23766 ms · 2026-06-28T16:06:14.331856+00:00 · methodology

discussion (0)

Reference graph

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