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arxiv: 2502.15909 · v1 · pith:J35EGAZWnew · submitted 2025-02-21 · ❄️ cond-mat.mes-hall

Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges

Kishore Iyer , Flavio Ronetti , Beno\^it Gr\'emaud , Thierry Martin , Thibaut Jonckheere , J\'er\^ome Rech This is my paper

Pith reviewed 2026-05-23 02:20 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords fractional quantum Hall effectshot noisephoto-assisted shot noisequantum point contacttunneling chargesedge modesanyons
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The pith

Photo-assisted shot noise distinguishes multiple tunneling charges at quantum point contacts even when one amplitude is much smaller.

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

The paper examines photo-assisted shot noise generated by periodic AC voltages at quantum point contacts in hierarchical fractional quantum Hall states, where several charge types tunnel at once. Standard DC shot noise becomes ambiguous with overlapping contributions from different charges, whereas the AC-driven version produces frequency-dependent features that tag each charge separately. For the filling factor 2/3 state the signatures stay visible even when one tunneling amplitude is much weaker than the other, and the same features survive at realistic experimental temperatures and frequencies. A general computational framework is supplied for any Abelian quantum Hall edge that carries several modes and charge species.

Core claim

In hierarchical fractional quantum Hall states multiple charge types tunnel concurrently at a quantum point contact; photo-assisted shot noise induced by periodic AC bias produces distinct frequency-dependent signatures that identify each tunneling charge separately. For the ν = 2/3 state these signatures remain detectable even when one tunneling amplitude is significantly smaller than the other, and the predicted features persist under typical laboratory values of temperature and frequency. The same formalism applies to general Abelian systems with multiple edge modes.

What carries the argument

Photo-assisted shot noise generated by periodic AC voltage, evaluated with a scattering formalism that accounts for multiple edge modes and charge species.

If this is right

  • PASN yields clearer separation of charge signals than DC shot noise when several charges tunnel together at one contact.
  • Different tunneling charges remain identifiable at ν = 2/3 even with strongly unequal tunneling amplitudes.
  • The same signatures are expected to appear in other hierarchical fractional quantum Hall states.
  • The method supplies a practical route to confirm the presence of multiple anyonic charges under realistic lab conditions.

Where Pith is reading between the lines

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

  • PASN could serve as a diagnostic for edge reconstructions or mode mixing in states where DC noise alone is inconclusive.
  • The approach may be extended to probe charge fractionalization in interferometry setups that combine AC bias with anyon braiding.
  • If the formalism is adapted, similar frequency signatures might appear in non-Abelian candidate states.

Load-bearing premise

The frequency-dependent features calculated for photo-assisted shot noise remain visible at the temperatures and driving frequencies reached in current experiments.

What would settle it

A measurement at a quantum point contact in a ν = 2/3 sample that shows no distinct AC-frequency peaks or dips matching the expected charge values would falsify the claim that PASN can separate the different tunneling charges.

Figures

Figures reproduced from arXiv: 2502.15909 by Beno\^it Gr\'emaud, Flavio Ronetti, J\'er\^ome Rech, Kishore Iyer, Thibaut Jonckheere, Thierry Martin.

Figure 1
Figure 1. Figure 1: To this end, we consider the PASN which is de [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (a-b) ∆S¯ as a function of ζ for different combina￾tions of charges tunneling at the QPC. (a) θ = 0, ∆S¯ displays dips at integer values of ζ, with the position of the dips de￾pending on the tunneling charges. When 2e/3 charges tunnel at the QPC, ∆S¯ displays dips at ζ = ±1, while when only e/3 charges tunnel, the dips are present at ζ = ±2. When there is a small amount of 2e/3 (5%) tunneling along with mo… view at source ↗
Figure 3
Figure 3. Figure 3: Excess PASN, plotted as a function of ζ for µ2e/3 = 0.05, and θ = 0.03 for different scaling dimensions higher than the theoretically predicted one. The PASN shows features at both ζ = ±1 and ζ = ±2 for all scaling dimensions. The dips at integer values of ζ for δ = 2/3 dimension slowly morph into slope changes at the same values for δ = 1. The features at ζ = ±2 for δ = 1 are somewhat reduced, bearing sim… view at source ↗
read the original abstract

Fractional charges in the fractional quantum Hall effect were first observed via DC shot noise measurements of anyons tunneling at a quantum point contact (QPC). However, in scenarios with simultaneous tunneling of different types of charges at the QPC, the connection between DC shot noise and tunneling charge is less transparent. Photo-assisted shot noise (PASN), induced by periodic AC voltage, offers a promising alternative. Here, we investigate PASN in the hierarchical states of the fractional quantum Hall effect, where different types of charges are expected to tunnel concurrently at QPCs. In the particular case of the fractional quantum Hall state $\nu = 2/3$, our analysis demonstrates that PASN can be employed as a robust tool to detect different tunneling charges, even when the tunneling amplitude of one type is significantly smaller compared to the other. We show that the features predicted by our calculations are still visible for typical values of temperature and frequency achieved in state-of-the-art experiments. Our general formalism can be used to compute PASN for general Abelian quantum Hall systems with multiple edge modes and charge types.

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

0 major / 2 minor

Summary. The manuscript develops a theoretical framework using the scattering approach and Keldysh formalism to compute photo-assisted shot noise (PASN) for Abelian fractional quantum Hall edge states with multiple co-propagating modes and charge types. For the hierarchical state at filling factor ν=2/3, explicit calculations demonstrate that PASN spectra exhibit distinct features allowing identification of different tunneling charges (e.g., e/3 and e) even when one tunneling amplitude is much smaller than the other; these features remain visible at typical experimental temperatures and AC frequencies. A general formalism is provided that applies to arbitrary Abelian QH systems.

Significance. If the calculations hold, the result is significant for mesoscopic physics because it supplies a concrete, experimentally accessible method to resolve multiple anyonic charges at QPCs where conventional DC shot noise becomes ambiguous. The explicit calculations for ν=2/3 together with the general Abelian formalism constitute a clear strength, enabling direct comparison with state-of-the-art experiments and guiding future device design.

minor comments (2)
  1. [Abstract] The abstract states that features remain visible for 'typical values of temperature and frequency' but does not quote the specific numerical ranges (e.g., T=10–50 mK, ω/2π=1–10 GHz) used in the plots; adding these values would strengthen the experimental relevance claim without altering the central result.
  2. [§3] Notation for the two tunneling amplitudes (denoted Γ1 and Γ2 in §3) is introduced without an explicit statement of their ratio range explored in the ν=2/3 numerics; a short sentence clarifying the ratio interval (e.g., 0.01–0.1) would improve readability.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript, the accurate summary of our results, and the positive recommendation to accept. We appreciate the recognition that the explicit calculations for ν=2/3 together with the general Abelian formalism provide a concrete, experimentally accessible method to resolve multiple anyonic charges.

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained via explicit Abelian formalism

full rationale

The manuscript derives PASN expressions for hierarchical Abelian states using standard scattering theory and noise formulas applied to multiple edge modes and charge types. The ν=2/3 case is obtained by direct substitution into these general expressions rather than by fitting or redefinition. No step reduces a claimed prediction to an input parameter by construction, nor does any load-bearing premise rest solely on self-citation. The visibility of features at experimental T and ω follows from the same analytic forms without additional ansatz smuggling. The derivation chain is therefore independent of the target result.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Review performed on abstract only; no explicit free parameters, invented entities, or ad-hoc axioms are stated in the provided text.

axioms (1)
  • domain assumption Abelian quantum Hall theory with multiple edge modes applies to hierarchical states such as ν=2/3
    Invoked to justify concurrent tunneling of different charge types

pith-pipeline@v0.9.0 · 5746 in / 1201 out tokens · 61739 ms · 2026-05-23T02:20:30.488546+00:00 · methodology

discussion (0)

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Reference graph

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