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arxiv: 1907.03568 · v1 · pith:SCCP7G5Pnew · submitted 2019-07-08 · ❄️ cond-mat.mes-hall

p-band engineering in artificial electronic lattices

M. R. Slot , S. N. Kempkes , E. J. Knol , W. M. J. van Weerdenburg , J. J. van den Broeke , D. Wegner , D. Vanmaekelbergh , A. A. Khajetoorians
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C. Morais Smith I. Swart
This is my paper

Pith reviewed 2026-05-25 01:10 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords artificial electronic latticesp-bandsscanning tunneling microscopytight-binding calculationsmuffin-tin modelband engineeringquantum simulation
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The pith

Artificial electronic lattices can be tailored to exhibit higher-energy p-like bands.

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

The paper demonstrates that artificial electronic lattices built atom by atom can be engineered to exhibit higher-energy bands in addition to the usual lowest-energy ones. p-like bands are realized and studied in four-fold and three-fold rotationally symmetric lattices. An anisotropic lattice design is used to lift the degeneracy between px- and py-like bands. Experimental measurements are corroborated by muffin-tin and tight-binding calculations, showing that complex band structures can be realized from the bottom up.

Core claim

Artificial electronic lattices, created atom by atom in a scanning tunneling microscope, can be tailored to exhibit higher-energy bands. We study p-like bands in four-fold and three-fold rotationally symmetric lattices. In addition, an anisotropic design can be used to lift the degeneracy between px- and py-like bands. The experimental measurements are corroborated by muffin-tin and tight-binding calculations.

What carries the argument

Atom-by-atom lattice construction with controlled rotational symmetry and anisotropy to host and split p-like electronic bands.

If this is right

  • Higher-energy electronic bands become accessible in artificial quantum systems beyond the lowest s-like bands.
  • Anisotropic designs provide a direct way to lift degeneracies between px- and py-like bands.
  • Complex band structures can be built from the bottom up in tunable lattice platforms.
  • p-like bands in lattices of different rotational symmetry enable new engineered quantum geometries.

Where Pith is reading between the lines

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

  • The same construction method could be used to access and study physics dominated by higher orbital character that is difficult to realize in natural crystals.
  • Combining the p-band engineering with existing s-band control might produce hybrid band structures with targeted properties.
  • The approach suggests a route to systematically vary lattice parameters to test predictions for orbital-selective phenomena.

Load-bearing premise

The muffin-tin and tight-binding calculations accurately capture the experimental electron states without major unaccounted substrate or tip-induced perturbations.

What would settle it

An STM measurement of electron states in the constructed lattices that shows no p-like bands or large unexplained deviations from the calculated dispersions would falsify the tailoring claim.

Figures

Figures reproduced from arXiv: 1907.03568 by A. A. Khajetoorians, C. Morais Smith, D. Vanmaekelbergh, D. Wegner, E. J. Knol, I. Swart, J. J. van den Broeke, M. R. Slot, S. N. Kempkes, W. M. J. van Weerdenburg.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Differential-conductance map acquired at [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a-b) Differential-conductance maps acquired at [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Differential-conductance map above a symmetric [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Schematic of [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

Artificial electronic lattices, created atom by atom in a scanning tunneling microscope, have emerged as a highly tunable platform to realize and characterize the lowest-energy bands of novel lattice geometries. Here, we show that artificial electronic lattices can be tailored to exhibit higher-energy bands. We study p-like bands in four-fold and three-fold rotationally symmetric lattices. In addition, we show how an anisotropic design can be used to lift the degeneracy between p_x- and p_y-like bands. The experimental measurements are corroborated by muffin-tin and tight-binding calculations. The approach to engineer higher-energy electronic bands in artificial quantum systems introduced here enables the realization of complex band structures from the bottom up.

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

1 major / 0 minor

Summary. The manuscript claims that artificial electronic lattices created atom-by-atom in an STM can be tailored to exhibit higher-energy p-like bands, beyond the lowest-energy bands previously studied. This is shown for four-fold and three-fold rotationally symmetric lattices, with an additional anisotropic design used to lift the degeneracy between p_x- and p_y-like bands. Experimental measurements of the local density of states are stated to be corroborated by muffin-tin and tight-binding calculations, enabling bottom-up realization of complex band structures.

Significance. If the central claim holds, the work is significant because it extends the artificial-lattice platform from s-like to p-like bands, providing a tunable route to engineer higher-energy electronic states and more complex dispersions in quantum systems. This could open avenues for studying phenomena that require access to bands above the ground-state manifold.

major comments (1)
  1. [Abstract] Abstract: The statement that 'the experimental measurements are corroborated by muffin-tin and tight-binding calculations' supplies no quantitative metrics (RMS deviation on band positions or widths, overlap integrals, or sensitivity analysis to added substrate/tip potentials). Because the central claim identifies the observed higher-energy features as intrinsic p-bands of the artificial lattice, the absence of such metrics leaves open the possibility that substrate or tip-induced shifts or hybridization dominate the reported dispersions.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive comment on our manuscript. We address the major comment below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The statement that 'the experimental measurements are corroborated by muffin-tin and tight-binding calculations' supplies no quantitative metrics (RMS deviation on band positions or widths, overlap integrals, or sensitivity analysis to added substrate/tip potentials). Because the central claim identifies the observed higher-energy features as intrinsic p-bands of the artificial lattice, the absence of such metrics leaves open the possibility that substrate or tip-induced shifts or hybridization dominate the reported dispersions.

    Authors: We agree that the abstract statement would be strengthened by quantitative metrics. The manuscript presents visual comparisons of experimental LDOS maps and dispersions with muffin-tin and tight-binding calculations in the figures, but does not report RMS deviations or sensitivity analyses. In the revised version we will add RMS deviations between measured and calculated band positions and widths, together with a short discussion of sensitivity to substrate and tip potentials (drawing on the existing model parameters). These additions will be placed in the results section and referenced from the abstract. revision: yes

Circularity Check

0 steps flagged

No circularity; experimental construction corroborated by standard independent models

full rationale

The paper reports atom-by-atom STM fabrication of lattices, LDOS measurements of higher-energy p-like bands, and corroboration via muffin-tin and tight-binding calculations. No derivation chain is present that reduces a claimed prediction to a fitted input, self-definition, or load-bearing self-citation. The calculations are standard methods applied to the fabricated geometries; the central claim (tailoring of higher bands) rests on direct experimental observation rather than any tautological reduction. This is the expected non-finding for primarily experimental work with external theoretical checks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review yields no explicit free parameters or invented entities; relies on standard domain models for corroboration.

axioms (1)
  • domain assumption Muffin-tin and tight-binding models provide accurate corroboration of the measured bands
    Invoked to support experimental results

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discussion (0)

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Reference graph

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