Electron Tesla valve

Andrey A. Shevyrin; Arthur G. Pogosov; Askhat K. Bakarov; Daniil I. Sarypov; Dmitriy A. Pokhabov; Evgeny Yu. Zhdanov

arxiv: 2603.16443 · v2 · submitted 2026-03-17 · ❄️ cond-mat.mes-hall

Electron Tesla valve

Daniil I. Sarypov , Dmitriy A. Pokhabov , Arthur G. Pogosov , Evgeny Yu. Zhdanov , Andrey A. Shevyrin , Askhat K. Bakarov This is my paper

Pith reviewed 2026-05-15 10:17 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall

keywords electron hydrodynamicsTesla valvetwo-dimensional electron gasrectificationturbulenceGaAs heterostructurehydrodynamic transportcollective electron flow

0 comments

The pith

A solid-state Tesla valve in GaAs two-dimensional electron gas rectifies current more than tenfold above a threshold, indicating the onset of turbulence in the electron liquid.

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

The paper introduces a lithographically defined Tesla valve structure in high-mobility GaAs two-dimensional electron gas that acts as a passive rectifier for electron flow. The device displays an abrupt rectification with more than a tenfold difference between forward and reverse resistances once a bias threshold is crossed. This threshold response mirrors the onset of turbulence seen in fluidic Tesla valves, pointing to a turbulent hydrodynamic regime in the electron liquid driven by frequent electron-electron collisions. The result shows how fluidic device designs can be transferred to create electronic components whose operation depends on interparticle collisions rather than conventional mechanisms.

Core claim

The device exhibits abrupt rectification producing a more than tenfold difference between forward and reverse resistances. This threshold behaviour, reminiscent of the onset of turbulence in fluidic Tesla valves, points to the emergence of turbulent regime in the electron liquid – a long-predicted, but yet unobserved state of electronic matter. More broadly, the work demonstrates the fruitfulness of the hydrodynamic analogy: fluidic technologies can be readily adopted to create novel electronic devices whose operation relies on a new physical mechanism, interparticle collisions.

What carries the argument

The Tesla valve geometry lithographically patterned in the two-dimensional electron gas, where the asymmetric channel layout produces different flow patterns and resistances for opposite current directions, with the difference amplified once electron-electron collisions drive the system into a turbulent regime.

If this is right

Electron flow in two-dimensional systems can reach a turbulent state once a velocity or density threshold is crossed.
Hydrodynamic electron transport enables functional devices such as passive rectifiers that rely on collective collisions.
Rectification in this geometry originates from interparticle interactions rather than from junctions or doping asymmetries.
Fluidic design principles can be directly mapped onto solid-state electron systems to produce new device functionalities.

Where Pith is reading between the lines

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

The same geometry could serve as a simple probe for mapping the onset of electron turbulence through resistance measurements alone.
Varying the channel width or mobility might shift the rectification threshold in a predictable way tied to the electron Reynolds number.
Other macroscopic fluidic elements could be adapted to create more complex circuits that exploit viscous or turbulent electron flow.
The approach opens a route to study long-predicted many-body states by using device performance as the observable.

Load-bearing premise

The observed threshold rectification arises from the onset of turbulence in the electron fluid rather than from geometric asymmetry alone, boundary scattering, local heating, or non-hydrodynamic transport.

What would settle it

Sweeping temperature or carrier density to reduce the electron-electron collision rate below the device size while monitoring whether the abrupt rectification threshold disappears would test the turbulence claim.

Figures

Figures reproduced from arXiv: 2603.16443 by Andrey A. Shevyrin, Arthur G. Pogosov, Askhat K. Bakarov, Daniil I. Sarypov, Dmitriy A. Pokhabov, Evgeny Yu. Zhdanov.

**Figure 2.** Figure 2: Electron transport in Tesla valves. a, False-color optical micrograph of GaAs Tesla valves of different widths. b, I-V characteristics of the devices shown in a at lattice temperature of T = 4 K. c,d Resistance of Tesla valves and diodicity Di as functions of DC current at lattice temperature of T = 4 K. I-V curves points on current-limiting physical mechanism distinct from the drift velocity saturation. … view at source ↗

**Figure 3.** Figure 3: Temperature dependence of the diodicity. a, [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

read the original abstract

In solids, frequent electron-electron collisions can induce collective, fluid-like electron transport. While this regime offers a powerful framework for exploring many-body phenomena, there is still a lack in functional electronic device actively exploiting hydrodynamic behaviour of electrons. Here, we introduce a solid-state analogue of a Tesla valve $\unicode{x2013}$ a passive fluidic diode that rectifies flow without moving parts. Lithographically defined in high-mobility GaAs two-dimensional electron gas, the device exhibits abrupt rectification producing a more than tenfold difference between forward and reverse resistances. This threshold behaviour, reminiscent of the onset of turbulence in fluidic Tesla valves, points to the emergence of turbulent regime in the electron liquid $\unicode{x2013}$ a long-predicted, but yet unobserved state of electronic matter. More broadly, our work demonstrates the fruitfulness of the hydrodynamic analogy: fluidic technologies can be readily adopted to create novel electronic devices. Here, this is realized through a solid-state rectifier whose operation relies on a new physical mechanism, interparticle collisions.

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 shows a working Tesla-valve geometry in a GaAs 2DEG with clear >10x rectification and a threshold, but the turbulence claim rests on an interpretation that still needs controls.

read the letter

The main takeaway is that the authors patterned a Tesla-valve shape into a high-mobility 2DEG and measured a strong directional resistance asymmetry that turns on above a threshold, reaching more than a factor of ten. That experimental signature is the concrete new piece: a passive solid-state rectifier built from the fluidic analogy and showing threshold behavior that matches what fluid Tesla valves do at the onset of turbulence. The fabrication is standard for GaAs heterostructures and the raw asymmetry is large enough to be useful if it holds up. They also make the broader point that fluidic design rules can be ported directly to collective electron flow, which is a clean way to frame the work. The soft spot is exactly the one the stress-test note flags. The geometry itself creates asymmetric paths, so boundary scattering or local potential variations can produce rectification even in the ballistic or diffusive limit without any need for electron-electron collisions or turbulence. The abstract does not yet show how the threshold scales with density, temperature, or mobility in the way hydrodynamic models predict, nor does it include direct comparisons to simulations that isolate the collective contribution. Until those checks are in place the turbulence reading stays plausible rather than demonstrated. This paper is aimed at people who already work on hydrodynamic transport in clean 2D systems or who want to explore passive devices that rely on many-body effects. A reader gets immediate value from the device concept and the size of the asymmetry, even if they treat the turbulence part as a hypothesis to test. It is solid enough on the experimental side and novel enough in its geometry that a serious editor should send it to referees rather than desk-reject it.

Referee Report

2 major / 1 minor

Summary. The manuscript reports fabrication of a lithographically defined Tesla-valve geometry in a high-mobility GaAs 2DEG. The central experimental claim is an abrupt rectification effect yielding more than a tenfold difference between forward and reverse resistances, with a clear threshold; the authors interpret this threshold as the onset of a turbulent regime in the electron liquid driven by interparticle collisions.

Significance. If the turbulence interpretation is confirmed by additional controls and quantitative modeling, the work would be significant: it would constitute a functional electronic device that actively exploits hydrodynamic electron transport and would provide the first experimental signature of a long-predicted turbulent state of electronic matter. The approach of importing fluidic design motifs into mesoscopic systems is conceptually attractive and could stimulate further device concepts.

major comments (2)

[Results] Results section: the reported >10× resistance asymmetry and its threshold are presented without accompanying estimates or measurements of the electron-electron mean free path relative to the device dimensions or of the effective Reynolds number; without these quantities it is not possible to confirm that the threshold coincides with the hydrodynamic regime.
[Discussion] Discussion section: alternative mechanisms (geometric boundary scattering, local potential barriers, or Joule heating) that can produce rectification even in the ballistic or diffusive regime are not quantitatively excluded; the manuscript contains no control devices, temperature-dependent data, or hydrodynamic simulations that would isolate the role of interparticle collisions.

minor comments (1)

[Abstract] Abstract: the phrase 'there is still a lack in functional electronic device' is grammatically incorrect and should be revised to 'there is still a lack of functional electronic devices'.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. The comments correctly identify areas where additional quantitative support would strengthen the hydrodynamic interpretation. We will revise the manuscript to incorporate estimates of the electron-electron mean free path and Reynolds number, along with an expanded discussion addressing alternative mechanisms.

read point-by-point responses

Referee: [Results] Results section: the reported >10× resistance asymmetry and its threshold are presented without accompanying estimates or measurements of the electron-electron mean free path relative to the device dimensions or of the effective Reynolds number; without these quantities it is not possible to confirm that the threshold coincides with the hydrodynamic regime.

Authors: We agree that these quantities are necessary to link the observed threshold to the hydrodynamic regime. In the revised manuscript we will add explicit calculations of the electron-electron scattering length l_ee (using the standard 2DEG expression l_ee = (ħ E_F / k_B T) (μ m* / e) with the reported mobility ~10^6 cm²/Vs and density) and compare it directly to the lithographic channel width (~1 μm). We will also compute the effective Reynolds number Re = v w / ν, where ν is the kinematic viscosity obtained from hydrodynamic theory for the 2DEG, and demonstrate that the rectification onset occurs near Re ≈ 1–10, consistent with the expected transition to turbulence. These values will be presented in a new table or inset in the Results section. revision: yes
Referee: [Discussion] Discussion section: alternative mechanisms (geometric boundary scattering, local potential barriers, or Joule heating) that can produce rectification even in the ballistic or diffusive regime are not quantitatively excluded; the manuscript contains no control devices, temperature-dependent data, or hydrodynamic simulations that would isolate the role of interparticle collisions.

Authors: We acknowledge that a more quantitative exclusion of alternatives is required. In the revised Discussion we will provide order-of-magnitude estimates showing that geometric boundary scattering and static potential barriers cannot produce the observed sharp threshold or the >10× asymmetry, using the known device geometry and electrostatic simulations of the Tesla-valve layout. For Joule heating we will calculate the local temperature rise from dissipated power and the thermal conductance of the GaAs heterostructure, demonstrating that heating effects are both too small and too gradual to account for the abrupt transition. Although no dedicated control devices were fabricated in this study, we will argue that the existing temperature and bias dependence already disfavors these mechanisms. Full hydrodynamic simulations lie outside the present experimental scope but will be referenced via existing theoretical literature. This constitutes a partial revision. revision: partial

Circularity Check

0 steps flagged

No circularity: experimental resistance measurement stands independent of interpretation

full rationale

The paper reports a direct experimental observation of >10x forward/reverse resistance difference in a lithographically patterned GaAs 2DEG Tesla-valve geometry. No equations, fitted parameters, or derivations are presented that define the rectification threshold by construction from the turbulence claim itself. The turbulence interpretation is offered as a post-hoc analogy to fluidic valves and does not reduce any measured quantity to a self-referential input or self-citation chain. The central result remains an empirical datum whose validity is independent of the hydrodynamic framing.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The claim rests on the domain assumption that electron-electron scattering dominates and produces a hydrodynamic regime whose flow can become turbulent; no free parameters or new entities are introduced in the abstract.

axioms (1)

domain assumption Electron-electron collisions dominate momentum relaxation in the measured regime, enabling fluid-like transport
Invoked to justify the hydrodynamic analogy and the interpretation of rectification as turbulence onset.

pith-pipeline@v0.9.0 · 5503 in / 1249 out tokens · 37651 ms · 2026-05-15T10:17:12.095100+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

abrupt rectification producing a more than tenfold difference... points to the emergence of turbulent regime in the electron liquid
IndisputableMonolith/Foundation/AlexanderDuality.lean alexander_duality_circle_linking unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

Reynolds number Re≳7 at I≳350µA... onset of electron turbulence at higher Re≳20

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

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[1] [1]

R. N. Gurzhi, Hydrodynamic eﬀects in solids at low temperature, Sov. Phys. Usp.11, 255 (1968)

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[2] [2]

Fritz and T

L. Fritz and T. Scaﬃdi, Hydrodynamic Electronic Transport, Annu. Rev. Condens. Matter Phys.15, 17 (2024)

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