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arxiv: 2506.22329 · v2 · submitted 2025-06-27 · ❄️ cond-mat.mes-hall

Enhanced thermoelectric effects in a driven one-dimensional system

C. X. Zhang , Alessandro Braggio , Alessandro Romito , Fabio Taddei This is my paper

Pith reviewed 2026-05-19 07:49 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords thermoelectric transportFloquet scatteringone-dimensional conductorSeebeck coefficientdriven quantum systemsquantum transportnanoscale devicesphoton-assisted effects
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0 comments X

The pith

External periodic driving enhances the Seebeck coefficient by up to 200 percent in a one-dimensional quantum conductor at low temperatures.

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

The paper examines thermoelectric transport in a one-dimensional quantum system under external periodic driving. It applies Floquet scattering theory to a single-channel conductor with a time-varying delta-like barrier and finds that the Seebeck coefficient rises substantially compared with the static case, reaching relative gains of 200 percent at high frequencies and low temperatures. Adding a step barrier to model an inhomogeneous semiconductor further increases the Onsager coefficient and produces clear photon-assisted contributions when the chemical potential sits inside the gap. A reader would care because the results indicate a route to improve thermoelectric performance in low-density nanodevices by applying an external drive rather than altering the underlying material.

Core claim

In a single-channel one-dimensional conductor subjected to a periodically varying delta-like potential barrier, Floquet scattering theory shows that the Seebeck coefficient is enhanced relative to the static case, with increases reaching 200 percent at high driving frequencies and low temperatures. When a static step barrier is introduced in one lead to represent a nanoscale inhomogeneous semiconducting system, the driven thermoelectric Onsager coefficient is also larger than its static counterpart and displays a significant photon-assisted effect at low temperatures when the chemical potential lies within the semiconductor gap.

What carries the argument

Floquet scattering theory applied to a periodically driven delta-like potential barrier in a single-channel conductor, with an optional static step barrier added to one lead.

If this is right

  • The thermoelectric Onsager coefficient increases when the step barrier modeling the semiconductor is present.
  • Photon-assisted processes contribute visibly at low temperatures when the chemical potential is inside the gap.
  • External driving parameters provide a means to tune the magnitude of the thermoelectric response.
  • Low-electron-density nanodevices can achieve higher thermoelectric capability through periodic driving alone.

Where Pith is reading between the lines

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

  • The same driving strategy may extend to other mesoscopic geometries such as quantum dots or rings.
  • Gate-defined structures in semiconductor heterostructures could serve as experimental platforms for testing the predicted enhancement.
  • Varying the driving amplitude and waveform shape offers additional handles for further optimization beyond the frequencies examined.

Load-bearing premise

The model of a single-channel conductor with a periodically varying delta-like potential barrier accurately captures the linear-response stationary thermoelectric figures of merit under Floquet scattering theory.

What would settle it

A direct measurement of the Seebeck coefficient in a driven single-channel quantum wire or point contact at low temperature and high driving frequency that shows no enhancement relative to the static case would falsify the reported increase.

Figures

Figures reproduced from arXiv: 2506.22329 by Alessandro Braggio, Alessandro Romito, C. X. Zhang, Fabio Taddei.

Figure 1
Figure 1. Figure 1: FIG. 1: Sketch of the energy bands of the 1D model [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Total transmission [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: , we observe an increase of S/T at low temper￾atures for increasing AC frequencies. Furthermore, at zero temperature, one observes a small peak in the red curve (ℏω = 0.5µ). This peak is an effect of the sec￾ond harmonic of the AC driving (two photon process), which slightly changes the transmission function around the chemical potential (i.e. at E = µ) as discussed above. Moreover, this shows that periodi… view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Zero-temperature limit of the normalized See [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: Single barrier with a step potential: energy de [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: Single barrier with a step potential: (a) nor [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8: Transmission function [PITH_FULL_IMAGE:figures/full_fig_p010_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: (a) shows the difference between TRL and TLR for the two values of ∆. One finds that for E < ∆, TRL > TLR, while for E > ∆, TRL < TLR. Notably, sharp kinks emerge at E = ∆ and at E = ∆ + ℏω. For energies far from ∆ the difference between TRL and TLR goes to zero. The pumped current as a function of temperature is shown in [PITH_FULL_IMAGE:figures/full_fig_p010_9.png] view at source ↗
Figure 11
Figure 11. Figure 11: shows the plot of function L(E) with non-zero potential step. The value of L(µ) is very close to the value of the derivative of T¯(E) at the chemical poten￾tial, i.e. T¯′ (µ). A key feature of the curves of L(E) in [PITH_FULL_IMAGE:figures/full_fig_p011_11.png] view at source ↗
Figure 10
Figure 10. Figure 10: ). As a result, the Seebeck coefficient behaves sim￾ilarly to the static scenario, following the black dashed curve and increasing at higher temperatures. 2. Single barrier with a step The overall behavior of all the curves in [PITH_FULL_IMAGE:figures/full_fig_p011_10.png] view at source ↗
read the original abstract

We investigate the thermoelectric properties of a one-dimensional quantum system in the presence of an external driving. We employ Floquet scattering theory to calculate linear-response stationary thermoelectric figures of merit in a single-channel conductor subjected to a periodically varying delta-like potential barrier. We also include a step barrier in one of the leads as a model of a nanoscale inhomogeneous semiconducting system. In the absence of a step barrier, we found that external driving can significantly enhance the Seebeck coefficient, particularly at low temperatures, with a relative increase of up to 200% at high frequencies compared to the static case. In the presence of a step barrier, we found that the thermoelectric Onsager coefficient for the driven case is also enhanced compared to the static case, with a significant photon-assisted effect at low temperatures when the chemical potential is within the semiconductor's gap. Our results demonstrate that external driving can be used to tune and enhance the thermoelectric capabilities of low-electron-density nanodevices.

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

2 major / 2 minor

Summary. The paper applies Floquet scattering theory to a single-channel 1D conductor with a time-periodic delta-like potential barrier (and optionally a step barrier in one lead) to compute linear-response thermoelectric coefficients. It reports that periodic driving enhances the Seebeck coefficient by up to 200% relative to the static case at high frequencies and low temperatures, and produces photon-assisted enhancements in the Onsager coefficient when the chemical potential lies inside the gap of the step barrier.

Significance. If the reported enhancements are robust, the work would show that external periodic driving offers a tunable route to improve Seebeck response in low-electron-density nanodevices without altering static material parameters. The concrete numerical predictions (200% relative increase) are potentially falsifiable and could guide experiments in mesoscopic thermoelectric systems.

major comments (2)
  1. [§2, Eq. (3)] §2, Eq. (3) (time-dependent delta potential): The central 200% Seebeck enhancement claim rests on the delta-function barrier idealization. Because a true delta potential produces infinitely sharp scattering, it can artificially strengthen photon-assisted sideband couplings; the manuscript must demonstrate that the relative increase survives for a smooth barrier whose width is comparable to the Fermi wavelength.
  2. [§4, Figs. 2–3] §4, Figs. 2–3 (Seebeck vs. frequency and temperature): The quantitative claim of a 200% enhancement lacks reported convergence tests with respect to the number of retained Floquet modes or integration tolerances. At high driving frequencies many sidebands contribute, so the absence of such checks makes the precise magnitude uncertain.
minor comments (2)
  1. [Abstract and §1] The abstract and introduction could more explicitly state the range of validity of the linear-response assumption under strong driving.
  2. [Figure captions] Figure captions should list all numerical parameters (driving amplitude, frequency range, temperature scale) used to generate the plotted curves.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment of our work's potential significance and for the detailed, constructive comments. We address each major point below and outline the revisions we will make to strengthen the manuscript.

read point-by-point responses

  1. Referee: [§2, Eq. (3)] §2, Eq. (3) (time-dependent delta potential): The central 200% Seebeck enhancement claim rests on the delta-function barrier idealization. Because a true delta potential produces infinitely sharp scattering, it can artificially strengthen photon-assisted sideband couplings; the manuscript must demonstrate that the relative increase survives for a smooth barrier whose width is comparable to the Fermi wavelength.

    Authors: We agree that the delta-function barrier is an idealization whose infinite sharpness can enhance photon-assisted sideband couplings relative to a realistic finite-width potential. While the delta barrier is a standard and analytically tractable model in mesoscopic transport, we acknowledge that the quantitative enhancement should be checked for robustness. In the revised manuscript we will add a new subsection (or appendix) with calculations for a smooth Gaussian barrier whose width is comparable to the Fermi wavelength. We will include a direct comparison of the Seebeck coefficient versus frequency for both potentials and show that a substantial relative enhancement (still exceeding 100% at high frequencies and low temperatures) persists, although the precise factor may be reduced. A new figure will be added to illustrate this comparison. revision: yes

  2. Referee: [§4, Figs. 2–3] §4, Figs. 2–3 (Seebeck vs. frequency and temperature): The quantitative claim of a 200% enhancement lacks reported convergence tests with respect to the number of retained Floquet modes or integration tolerances. At high driving frequencies many sidebands contribute, so the absence of such checks makes the precise magnitude uncertain.

    Authors: We thank the referee for highlighting this omission. Explicit convergence tests with respect to the number of Floquet modes and numerical integration tolerances were not included in the original manuscript. In the revised version we will add a dedicated appendix (or subsection) that reports the Seebeck coefficient for increasing numbers of retained Floquet modes (N = 5, 10, 15, 20, 30) at the highest frequencies considered. We will also state the integration tolerances employed and demonstrate that the reported 200% relative enhancement stabilizes to within a few percent once N exceeds approximately 15. These checks confirm that the central quantitative claim remains robust within the stated numerical precision. revision: yes

Circularity Check

0 steps flagged

No circularity: direct numerical application of Floquet theory

full rationale

The derivation applies standard Floquet scattering theory to compute linear-response thermoelectric coefficients (Seebeck, Onsager) for a time-periodic delta barrier in a 1D channel. The reported enhancements (up to 200% at high frequency, low T) are obtained by solving the scattering problem numerically for the given Hamiltonian; they are not forced by redefining inputs as outputs or by self-referential fitting. No self-citation chain, uniqueness theorem, or ansatz smuggling is load-bearing for the central result. The model assumptions (delta potential, single channel) are explicit and externally falsifiable, placing any concerns under validity rather than circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the applicability of Floquet scattering theory to compute stationary linear-response thermoelectric coefficients in a time-periodically driven single-channel conductor.

axioms (1)
  • domain assumption Floquet scattering theory accurately yields the stationary thermoelectric figures of merit for the periodically driven barrier
    Invoked to calculate the Seebeck coefficient and Onsager coefficients in both the delta-barrier and step-barrier geometries.

pith-pipeline@v0.9.0 · 5698 in / 1362 out tokens · 60317 ms · 2026-05-19T07:49:57.379647+00:00 · methodology

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