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arxiv: 2604.11780 · v1 · submitted 2026-04-13 · ❄️ cond-mat.mtrl-sci · physics.app-ph

Multiple spiking functionalities in annealing-optimized Ag/Hf_(0.5)Zr_(0.5)O₂-based memristive neurons

Nikita Zhidkov , Andrei Zenkevich , Anton Khanas This is my paper

Pith reviewed 2026-05-10 15:01 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci physics.app-ph
keywords memristorartificial neuronspiking neural networkHZOfilamentary switchingannealingleaky integrate-and-fire
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The pith

Ag/HZO memristors enable artificial neurons that implement multiple spiking modes using only a series resistor.

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

The paper establishes that filamentary-switching memristors fabricated from silver electrodes and hafnium zirconium oxide can serve as complete artificial neurons. A two-step annealing process improves control over layer crystallization and silver-atom diffusion, producing devices that exhibit leaky integrate-and-fire dynamics in three distinct coding schemes: time-to-first-spike, spike count, and firing rate. All operation occurs with no auxiliary circuits beyond one current-limiting resistor in series with the memristor. This minimal hardware footprint is presented as a route to lower-energy spiking-neural-network processors.

Core claim

An artificial neuron with multiple functionalities is realized solely by a filamentary-switching Ag/Hf0.5Zr0.5O2 memristor connected in series with a current-limiting resistor; after two-step annealing, the device produces leaky integrate-and-fire spiking in time-to-first-spike, number-of-spikes, and firing-rate modes without additional electronic overhead.

What carries the argument

Filamentary switching inside the Ag/HZO stack, in which conductive filaments form and rupture under applied voltage to generate the spiking response, with the two-step anneal providing the necessary control of crystallization and silver diffusion.

If this is right

  • The neuron produces leaky integrate-and-fire output in TTFS, spike-number, and firing-rate coding modes.
  • No auxiliary transistors or capacitors are required beyond the memristor and one resistor.
  • The architecture directly supports energy-efficient hardware for spiking neural networks.
  • The same stack can be scaled by standard thin-film deposition once annealing parameters are fixed.

Where Pith is reading between the lines

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

  • Large arrays could be built with far fewer peripheral circuits than current CMOS-neuron designs, lowering total chip power.
  • If device-to-device variation remains low after annealing, the approach could be used to fabricate dense crossbar-based spiking networks.
  • The same filamentary mechanism might be tested in other oxide thicknesses or electrode metals to expand the set of available spiking time constants.

Load-bearing premise

The two-step annealing step reliably produces consistent control over HZO crystallization and silver diffusion so that multiple spiking modes appear reproducibly across devices without hidden variability or side effects.

What would settle it

A side-by-side comparison in which devices fabricated without the two-step anneal fail to show stable time-to-first-spike, spike-count, and rate-coding behaviors under identical voltage pulses.

Figures

Figures reproduced from arXiv: 2604.11780 by Andrei Zenkevich, Anton Khanas, Nikita Zhidkov.

Figure 1
Figure 1. Figure 1: a) The fabrication process flow and b) final structure sketch with connections for electrical view at source ↗
Figure 2
Figure 2. Figure 2: I(V ) curves over 20 cycles each (grey lines; a representative cycle - black line), demonstrating threshold switching in memristors after different production flows: only post-metallization annealing (PMA), only post-deposition annealing (PDA) and both PDA and PMA. diffusion of Ag inside HZO, both of which can have drastic effect on the electrical properties of the memristors. Fig.2 illustrates the I(V ) c… view at source ↗
Figure 3
Figure 3. Figure 3: Statistics of (a) switching voltages and (b) currents in ON and OFF states, extracted from view at source ↗
Figure 4
Figure 4. Figure 4: a) Sketch of the filamentary threshold switch and capacitive regions of a Ag/HZO memristor view at source ↗
Figure 5
Figure 5. Figure 5: Spiking with variable firing rate in a Ag/HZO memristor via voltage value change. view at source ↗
read the original abstract

Rapid progress of artificial neural network applications in recent years has led to the issue of an unprecedented energy consumption. It can be solved by the implementation of energy efficient hardware based on non-von-Neumann architectures, which requires the development of electronic components emulating the behavior of synapses and neurons. While research of synaptic elements is vast, the technology for fabrication of scalable and highly reproducible neuronal elements is far less developed. In this paper, we demonstrate an artificial neuron with multiple functionalities based on filamentary switching Ag/Hf$_{0.5}$Zr$_{0.5}$O$_2$ (HZO) memristors. To improve the parameters of memristors, we propose a two-step annealing method, which allows for better control of the crystallization of the functional dielectric layer (HZO) as well as of the diffusion of active electrode (Ag) atoms. Furthermore, we demonstrate the leaky integrate-and-fire (LIF) neuronal behavior in multiple spiking modes: time-to-first-spike (TTFS), number of spikes and firing rate coding. Moreover, the neuron operation does not require the additional electronic overhead and is supported solely by a Ag/HZO memristor with a current limiting resistor connected in series. The presented results pave the way for the creation of next generation energy efficient neuromorphic hardware operating on the principles of spiking neural networks.

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 / 1 minor

Summary. The manuscript reports the fabrication and characterization of filamentary Ag/Hf0.5Zr0.5O2 (HZO) memristors optimized via a two-step annealing process. This enables an artificial neuron that exhibits leaky integrate-and-fire (LIF) behavior in three coding modes—time-to-first-spike (TTFS), spike-count, and firing-rate—implemented solely with the memristor in series with a current-limiting resistor and no additional circuitry.

Significance. If the results hold with adequate controls, the work provides a compact, low-overhead hardware neuron supporting multiple spiking functionalities, which could simplify neuromorphic circuit design for energy-efficient spiking neural networks. The two-step annealing approach for tuning HZO crystallinity and Ag diffusion represents a practical materials optimization that may improve memristor consistency in such applications.

major comments (2)
  1. [Results] The central claim that the two-step annealing enables reliable control over HZO crystallization and Ag diffusion to produce stable multi-mode spiking is load-bearing, yet no direct microstructural characterization (XRD patterns, TEM/EDX images, or diffusion profiles) is shown to confirm differential effects versus single-step annealing. This leaves open the possibility that observed spiking arises from uncontrolled filament stochasticity rather than the claimed optimization.
  2. [Experimental methods / Device characterization] No device statistics or reproducibility metrics are reported (e.g., threshold voltage histograms, spike-timing variance, success rates, or data from ≥10 devices per mode). Without these, the assertions of 'multiple functionalities' and 'no additional electronic overhead' cannot be fully evaluated for reliability across devices.
minor comments (1)
  1. [Abstract] The abstract asserts successful demonstration and parameter improvement but supplies no quantitative values, error bars, or device counts to support the claims.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive review and for identifying areas where additional evidence would strengthen the manuscript. We address each major comment below and indicate the revisions planned.

read point-by-point responses

  1. Referee: [Results] The central claim that the two-step annealing enables reliable control over HZO crystallization and Ag diffusion to produce stable multi-mode spiking is load-bearing, yet no direct microstructural characterization (XRD patterns, TEM/EDX images, or diffusion profiles) is shown to confirm differential effects versus single-step annealing. This leaves open the possibility that observed spiking arises from uncontrolled filament stochasticity rather than the claimed optimization.

    Authors: We agree that direct microstructural data would more conclusively link the two-step annealing to controlled crystallization and Ag diffusion. The manuscript currently supports the optimization through electrical performance metrics, including more consistent threshold behavior and multi-mode spiking. In the revised manuscript we will add XRD patterns comparing single-step and two-step annealed HZO films to demonstrate differences in crystallinity. TEM/EDX imaging and explicit diffusion profiles are not available from the existing samples; we will therefore add a brief discussion of how the observed reduction in spike-timing variability provides indirect evidence against purely stochastic filament formation. This constitutes a partial revision that directly addresses the referee's concern while remaining within the scope of completed experiments. revision: partial

  2. Referee: [Experimental methods / Device characterization] No device statistics or reproducibility metrics are reported (e.g., threshold voltage histograms, spike-timing variance, success rates, or data from ≥10 devices per mode). Without these, the assertions of 'multiple functionalities' and 'no additional electronic overhead' cannot be fully evaluated for reliability across devices.

    Authors: The referee is correct that aggregate statistics are necessary to substantiate claims of reliable multi-mode operation. Although the presented results were obtained on multiple devices, we did not report the full dataset. In the revised manuscript we will include threshold-voltage histograms from at least 15 devices, quantitative spike-timing variance for each coding mode, and success-rate statistics. These additions will allow readers to assess reproducibility and will reinforce that the LIF behavior with minimal circuitry is not limited to isolated devices. revision: yes

Circularity Check

0 steps flagged

No circularity: purely experimental demonstration with no derivations or fitted predictions

full rationale

This is an experimental materials-science report describing device fabrication, a two-step annealing process, and observed LIF spiking modes in Ag/HZO memristors. The abstract and full text contain no equations, no parameter fitting, no predictive models, and no derivation chain that could reduce to self-definition or self-citation. All central claims rest on fabricated samples and measured electrical behavior, which are externally falsifiable and independent of any internal logical loop. Any self-citations (if present) are incidental and non-load-bearing for the experimental results.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is an experimental device paper. The central claim rests on successful thin-film fabrication, annealing, and electrical testing using standard materials-science techniques. No mathematical derivations, free parameters, or new theoretical entities are introduced in the abstract.

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