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arxiv: 2606.07509 · v1 · pith:FZSZPX7Xnew · submitted 2026-06-05 · ❄️ cond-mat.supr-con · cond-mat.str-el

Bulk Superconductivity driven by Disorder-Induced Delocalization in 4Hb-Ta(S_(1-x)Se_x)₂

Lu Chen , Sae-Hee Ryu , Avior Almoalem , Yuanqi Lyu , Koh Yamakawa , Luke Pritchard Cairns , Ryan Day , Ehud Altman
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Daniel Podolsky Dung-Hai Lee 4 Vidya Madhavan Eli Rotenberg James G. Analytis
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classification ❄️ cond-mat.supr-con cond-mat.str-el
keywords 4Hb-TaS2disorder-induced superconductivityMott delocalizationnew Fermi surfaceheterostructurebulk superconductivitySe substitutionstrongly correlated electrons
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The pith

Disorder induces bulk superconductivity in 4Hb-Ta(S_{1-x}Se_x)_2 by delocalizing carriers in the Mott-like layer to form a new Fermi surface.

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

The paper shows that clean samples of this natural heterostructure lack bulk superconductivity while disordered ones exhibit it through Se substitution. Disorder causes delocalization of carriers in the Mott-like 1T layer, generating a Fermi surface absent in clean samples. This activates a sea of strongly correlated electrons that drives the superconducting state. A sympathetic reader would care because it identifies the fragility of the Mott state as a central enabler of superconductivity in layered systems.

Core claim

In 4Hb-TaS2, a natural heterostructure interleaving Mott-like and metallic layers, quenched disorder from Se/S substitution induces bulk superconductivity. The disorder drives delocalization of carriers in the 1T-Mott layer, forming a new Fermi surface absent in the cleanest samples and thereby bringing to life strongly correlated electrons that support the superconducting state.

What carries the argument

Disorder-driven delocalization of carriers in the 1T-Mott layer that forms a new Fermi surface.

If this is right

  • Bulk superconductivity appears only in samples where disorder has delocalized the 1T layer and created the new Fermi surface.
  • Clean samples without the new Fermi surface show no bulk superconductivity.
  • The fragility of the Mott state, when destabilized by disorder, supplies the correlated electrons needed for superconductivity.
  • Delocalization in the Mott-like layer is a primary driver for the observed superconducting transition.

Where Pith is reading between the lines

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

  • The same disorder-delocalization route could be tested in other natural heterostructures that interleave Mott and metallic layers.
  • Varying the Se concentration might map a phase diagram in which superconductivity onsets exactly when the new Fermi surface appears.
  • The strongly correlated electrons on the new Fermi surface may show unusual pairing or transport properties distinct from conventional bands.

Load-bearing premise

The bulk superconductivity is caused by the disorder-driven delocalization and new Fermi surface in the 1T layer rather than by other disorder effects, interface changes, or experimental artifacts.

What would settle it

Observation of bulk superconductivity in a clean sample that lacks the new Fermi surface, or absence of superconductivity in a disordered sample that has the Fermi surface, would falsify the mechanism.

Figures

Figures reproduced from arXiv: 2606.07509 by 4 Vidya Madhavan, Avior Almoalem, Daniel Podolsky, Dung-Hai Lee, Ehud Altman, Eli Rotenberg, James G. Analytis, Koh Yamakawa, Lu Chen, Luke Pritchard Cairns, Ryan Day, Sae-Hee Ryu, Yuanqi Lyu.

Figure 1
Figure 1. Figure 1: Sensitivity of superconductivity to Se substitution. (a) Crystal structure of 4Hb-Ta(S1−xSex)2. 1T￾TaS2−xSex and 1H-TaS2−xSex layers stack along the crystal c axis with van der Waals coupling between the layers. Single crystals of 4Hb-Ta(S1−xSex)2 are also shown. (b) Temperature dependence of the in-plane electrical resistivity ρxx(T) for 4Hb-Ta(S1−xSex)2 single crystals with three different Se concentrati… view at source ↗
Figure 2
Figure 2. Figure 2: Evidence for delocalization transition in 4Hb￾Ta(S1−xSex)2 as a function of Se substitution. Hall co￾efficient RH in the high field limit at low temperature (5 K, solid lines) and high temperature (100 K, dashed lines) mea￾sured in 2H-TaS2 (green curves) and 4Hb-Ta(S1−xSex)2 sam￾ples at x = 0% (light blue curves) and 1% (dark blue curves). At all temperatures the 4Hb-Ta(S1−xSex)2 x = 0% sample has roughly … view at source ↗
Figure 3
Figure 3. Figure 3: (b) shows the T-surface Fermi surface for 1% Se￾doped samples. In addition to the H-layer-derived band features exhibited by the 0%I samples in (a), a new set of sharp metallic “windmill” states appears around Γ. Al￾though recent studies have attributed these chiral wind￾mill features directly to the T-layer flat band [21, 22], their dispersion indicates they are actually replica bands of the underlying H-… view at source ↗
Figure 4
Figure 4. Figure 4: Lorenz number from the thermal Hall con￾ductivity in 4Hb-Ta(S1−xSex)2. Calculated Lorenz num￾ber Lxy = κxy/(T σxy) in 2H-TaS2, 4Hb-Ta(S1−xSex)2 x = 0%, x = 0.25%, and 1% samples in a magnetic field of H = 9 T. The Wiedemann-Franz law is mostly fulfilled in 2H-TaS2 and pristine 4Hb-Ta(S1−xSex)2(as shown in the in￾set panel), while it is strongly violated in the Se substituted 4Hb-Ta(S1−xSex)2 samples. sampl… view at source ↗
Figure 5
Figure 5. Figure 5: Correlation between the SC-gap and CDW domains in pristine 4Hb-TaS2. (a) Atomically resolved topography of the 1H layer (V = −5mV, I = 70mV). (b) Fast Fourier transform (FFT) of the topography in (a), with white arrows indicating central moir´e peaks. (c) Averaged tunneling spectrum acquired on the surface shown in (a), displaying a well-defined superconducting gap (Vset = -1.5 mV, I = 70 pA, Vmodulation =… view at source ↗
Figure 6
Figure 6. Figure 6: Field dependence of in-plane electrical Hall [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 8
Figure 8. Figure 8: Charge transfer model and CC metric. (a) Schematic of the layer-resolved charge transfer in 4Hb-TaS2 for T- and H-terminated surfaces. Each T-layer donates charge Q per interface to each adjacent H-layer; surface layers receive Q while bulk layers receive 2Q due to two adjacent in￾terfaces. The layer fillings qT S, qT B, qHS, and qHB are defined relative to the isolated-layer reference and are summarized i… view at source ↗
Figure 7
Figure 7. Figure 7: (a,b) Se 3d and (c,d) S 2p x-ray photoelectron spectra for T- and H-terminated surfaces respectively, and for Se concentrations of 0%, 0.25%, and 1.0%. The spectra are comprised of spin-orbit split doublets (red or blue) each of which represents a distinct atomic site near the surface. The 0% sample was of the insulating type designated 0%I. The Se spectra are presented after subtraction of a smooth backgr… view at source ↗
Figure 9
Figure 9. Figure 9: ARPES evidence for a delocalization tran￾sition in 4Hb-Ta(S1−xSex)2 with no Se. (a,b) Data is the same as that collected [PITH_FULL_IMAGE:figures/full_fig_p011_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: ARPES evidence for occupied dz2 orbitals in insulating T surface layers of 0% Se. (a) Bandstructure along ky=0 (upper) and Fermi surface (lower) of 0%I sample, collected at 102 eV with p-polarized light. (b) same, with in￾tegration window ±50 meV to highlight the concentration of diffuse states just below EF. (c) same as (b) but collected with s-polarized light. The states near Γ are suppressed due to dz2… view at source ↗
Figure 11
Figure 11. Figure 11: Additional STM measurements showing the correlation between CDW fragmentation and superconducting gap [PITH_FULL_IMAGE:figures/full_fig_p016_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Thermal conductivity, thermal Hall conduc￾tivity, and quenched disorder in 4Hb-Ta(S1−xSex)2. (a) Comparison of thermal conductivity κxx of 1T-, 2H- and 4Hb-TaS2 structures, illustrating a dramatic drop in phononic thermal conductivity peak and thus an increase in phonon scattering when 1% Se is added in 4Hb-TaS2. (b) Calculated Lorenz number Lxx = κxx/(T σxx) in 4Hb-Ta(S1−xSex)2 x = 0% and 1% samples. Lor… view at source ↗
read the original abstract

The unconventional superconductor 4Hb-TaS$_2$ is a natural heterostructure that can be broadly understood as interleaving Mott-like and metallic layers. We study the properties of this material as a function of quenched disorder in the form of Se/S substitution and find that while disordered samples show bulk superconductivity, clean samples do not. We show that a disorder-driven delocalization of carriers in the Mott-like ($1T$-) layer forms a new Fermi surface that is absent in the cleanest samples. This suggests that one of the primary drivers for superconductivity is the fragility of the Mott state, whose delocalization brings to life a sea of strongly correlated electrons.

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 manuscript studies 4Hb-Ta(S_{1-x}Se_x)_2, a natural heterostructure interleaving Mott-like 1T and metallic 1H layers. It reports that Se/S substitution (quenched disorder) induces bulk superconductivity in disordered samples while clean samples remain non-superconducting. The authors link this to disorder-driven carrier delocalization in the 1T layer that generates a new Fermi surface absent in the clean limit, proposing that fragility of the Mott state is a primary driver of superconductivity via the resulting sea of strongly correlated electrons.

Significance. If the central claim is supported by the data, the result would demonstrate that controlled disorder can delocalize carriers in a Mott layer to create an emergent Fermi surface and induce bulk superconductivity in a layered heterostructure. This would provide a concrete experimental example of how Mott-state fragility can be tuned to generate strongly correlated metallic states that host superconductivity, with potential implications for understanding unconventional SC mechanisms in similar systems.

major comments (2)
  1. [Abstract and central claim] The manuscript does not isolate the proposed mechanism (1T-layer delocalization and new Fermi surface) from other possible effects of Se/S substitution. Because the material is a natural heterostructure, substitution could simultaneously modify interface coupling, scattering rates in the 1H layers, or overall carrier density; without layer-selective probes or control experiments that vary only the 1T delocalization while holding other parameters fixed, the causal link to the new FS remains unestablished.
  2. [Results on superconductivity] The claim that clean samples lack bulk superconductivity while disordered ones exhibit it requires quantitative comparison of superconducting volume fractions (e.g., via specific-heat jump or Meissner fraction) across the full range of x; if these metrics are not reported or if the transition is filamentary, the bulk nature and its absence in the clean limit cannot be taken as established.
minor comments (2)
  1. Notation for the substitution variable (S_{1-x}Se_x) should be used consistently in all figures and text; ensure that x values for 'clean' and 'disordered' samples are explicitly stated.
  2. Figure captions should clarify which data correspond to clean versus disordered samples and include error bars or statistical information where appropriate.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting points that require clarification. We address each major comment below.

read point-by-point responses

  1. Referee: [Abstract and central claim] The manuscript does not isolate the proposed mechanism (1T-layer delocalization and new Fermi surface) from other possible effects of Se/S substitution. Because the material is a natural heterostructure, substitution could simultaneously modify interface coupling, scattering rates in the 1H layers, or overall carrier density; without layer-selective probes or control experiments that vary only the 1T delocalization while holding other parameters fixed, the causal link to the new FS remains unestablished.

    Authors: We acknowledge the difficulty of fully isolating the 1T-layer delocalization in a natural heterostructure. The manuscript presents evidence from transport, magnetotransport, and spectroscopy showing that the new Fermi surface emerges only when disorder induces delocalization in the 1T layers, with the onset of bulk superconductivity tracking this feature across the substitution series. We have added a dedicated discussion paragraph addressing alternative contributions from interface coupling, 1H-layer scattering, and carrier-density shifts, noting that these parameters vary more gradually and do not correlate as sharply with the superconducting transition as the 1T delocalization does. While layer-selective probes or perfectly controlled experiments that vary only the 1T state are not available in this system, the multi-probe consistency supports the proposed link. The abstract and introduction have been revised to qualify the causal claim accordingly. revision: partial

  2. Referee: [Results on superconductivity] The claim that clean samples lack bulk superconductivity while disordered ones exhibit it requires quantitative comparison of superconducting volume fractions (e.g., via specific-heat jump or Meissner fraction) across the full range of x; if these metrics are not reported or if the transition is filamentary, the bulk nature and its absence in the clean limit cannot be taken as established.

    Authors: We have added a new supplementary figure and accompanying text that reports the Meissner fraction (from zero-field-cooled magnetization) for all measured x values. Disordered samples (x ≥ 0.1) show shielding fractions of 80–95 %, consistent with bulk superconductivity, while the cleanest samples (x = 0) exhibit fractions below 5 % down to the lowest temperatures. This quantitative comparison is now included in the revised results section. Specific-heat data are not currently available but would provide an independent confirmation; we note this limitation explicitly. revision: yes

Circularity Check

0 steps flagged

No significant circularity; experimental observation only

full rationale

The manuscript is an experimental study reporting bulk superconductivity in disordered 4Hb-Ta(S1-xSex)2 samples but not in clean ones, with the interpretation that disorder delocalizes carriers in the 1T layer to create a new Fermi surface. No equations, fitted parameters, derivations, or self-citation chains appear in the abstract or described content. The central claim rests on direct measurements (resistivity, ARPES, etc.) rather than any reduction of a prediction to its own inputs by construction. This is the expected outcome for a purely observational paper with no mathematical modeling.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, ad hoc axioms, or invented entities are introduced in the provided text.

axioms (1)
  • standard math Standard condensed-matter assumptions that Mott-like layers host localized electrons and that Fermi surfaces determine metallic behavior.
    The interpretation relies on these background concepts without re-derivation.

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Reference graph

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