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arxiv: 2605.25236 · v1 · pith:UYQK2SGAnew · submitted 2026-05-24 · ❄️ cond-mat.mtrl-sci

Composition-Driven High-Entropy Alloys with Enhanced Magnetocaloric Properties

Nishant Tiwari , Juan Rafael Gomez Quispe , Noorbasha Bhavani Sai , Saikat Talapatra , Pedro Alves Da Silva Autreto , Varun Chaudhary , Chandra Sekhar Tiwary This is my paper

Pith reviewed 2026-06-29 23:24 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords high-entropy alloysmagnetocaloric effectCurie temperaturedensity functional theoryMonte Carlo simulationcomposition tuningtransition metals
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0 comments X

The pith

Adjusting copper content in FeNiCoCrCu high-entropy alloys tunes Curie temperature from 110 K to 420 K for magnetocaloric use

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

The paper establishes that single-phase cubic high-entropy alloys made from earth-abundant Fe, Ni, Co, Cr and Cu can have their ferromagnetic-to-paramagnetic transition temperature controlled through compositional changes. An equiatomic alloy reaches a Curie temperature of 110 K while a non-equiatomic version richer in Fe and Co but lower in Cu reaches 420 K, accompanied by a magnetic entropy change of 1.24 J kg^{-1} K^{-1} under a 1.6 T field. Density functional theory shows that lowering Cu increases spin-polarized 3d states near the Fermi level, strengthening ferromagnetic exchange. These couplings are mapped to a classical Heisenberg model and solved with Monte Carlo simulations, which correctly predict both measured transition temperatures. A separate theoretical sweep of Cu concentration in the equiatomic case demonstrates that added copper steadily dilutes the magnetic sublattice and lowers the transition temperature.

Core claim

Single-phase cubic HEAs consisting of Fe, Ni, Co, Cr and Cu undergo a continuous ferromagnetic to paramagnetic transition. The equiatomic (Fe20Ni20Co20Cr20Cu20) composition has TC = 110 K while the Fe- and Co-rich non-equiatomic (Fe34Ni17.7Co24.8Cr15.2Cu8.3) composition has TC = 420 K. Under a 1.6 T field the non-equiatomic alloy exhibits an entropy change of 1.24 J kg^{-1} K^{-1} with relative cooling power 92 J kg^{-1}. DFT calculations show that reducing Cu enhances the spin-polarized Fe, Co or Ni 3d weight near the Fermi level, consistent with stronger ferromagnetic exchange. Exchange couplings obtained from DFT are mapped onto a classical Heisenberg model and solved by atomistic Monte C

What carries the argument

DFT-derived exchange couplings mapped onto a classical Heisenberg model and solved by atomistic Monte Carlo simulations to predict composition-dependent Curie temperatures

If this is right

  • Increasing Cu content in equimolar alloys monotonically lowers the Curie temperature
  • Reducing Cu enhances spin-polarized 3d weight near the Fermi level and strengthens ferromagnetic exchange
  • The approach supplies a quantitative guideline for tuning magnetocaloric operating temperatures in transition-metal high-entropy alloys

Where Pith is reading between the lines

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

  • The same composition-sweep strategy could be applied to other transition-metal combinations to target room-temperature operation
  • The observed broader cooling span may make these alloys candidates for applications that require a wide temperature window rather than peak performance at a single temperature
  • Direct experimental measurement of exchange parameters in additional compositions would provide an independent test of the Monte Carlo predictions

Load-bearing premise

The exchange couplings extracted from DFT and mapped to the classical Heisenberg model accurately represent the real magnetic interactions without significant errors that would invalidate the Monte Carlo predictions of TC

What would settle it

An experimental measurement in which the Curie temperature fails to decrease monotonically with increasing copper content in equimolar FeNiCoCrCu alloys would falsify the claimed design guideline

Figures

Figures reproduced from arXiv: 2605.25236 by Chandra Sekhar Tiwary, Juan Rafael Gomez Quispe, Nishant Tiwari, Noorbasha Bhavani Sai, Pedro Alves da Silva Autreto, Saikat Talapatra, Varun Chaudhary.

Figure 3
Figure 3. Figure 3: Atomic structures and electronic properties of the E-HEA and NE-HEA Fe-Ni-Co￾Cr-Cu high-entropy alloys. (a, b) Supercell models used in the DFT calculations for the E-HEA (Fe0.20Ni0.20Co0.20Cr0.20Cu0.20) and NE-HEA (Fe0.34Ni0.177Co0.24Cr0.152Cu0.083), respectively; atoms are colored according to the legend. (c, d) Element-resolved spin-polarized projected (3d) density of states (PDOS) for E-HEA and NE-HEA,… view at source ↗
Figure 4
Figure 4. Figure 4: Atomistic Monte Carlo Simulations results for the equiatomic (E-HEA) and Non￾equiatomic (NE-HEA) Fe-Ni-Co-Cr-Cu high-entropy alloys. (a) Temperature dependence of the normalized magnetization ⟨|m|⟩ obtained from VAMPIRE simulations, showing a substantially higher Curie temperature for NE-HEA (blue) compared to E-HEA (red). (b-d) Representative spin configurations of E-HEA at T = 100 K, 300 K, and 500 K, re… view at source ↗
Figure 5
Figure 5. Figure 5: Effect of Cu content on the electronic structure and magnetization of the Fe-Ni-Co￾Cr-Cu high-entropy alloy. (a) Temperature dependence of the normalized magnetization ⟨|m|⟩ for four Cu concentrations (7.4, 14.8, 29.6, and 37.0 at. % Cu) obtained from atomistic Monte Carlo simulations, showing a systematic reduction of the Curie temperature with increasing Cu content. (b-e) Representative supercell configu… view at source ↗
Figure 6
Figure 6. Figure 6: Effect of Cu content in both theoretical and experimental compositions on the Curie Temperature (TC) of the Fe-Ni-Co-based HEAs, which are studied in the present work. 4. Conclusions In this work, we used an integrated approach of DFT and experimental to evaluate the magnetocaloric properties of equiatomic (E-HEA) and non-equiatomic (NE-HEA) Fe-Ni-Co￾based high-entropy alloys. Structural characterization c… view at source ↗
read the original abstract

High entropy alloys (HEAs) are promising magnetocaloric materials with tunable operating temperature conditions using compositional modifications. Here, we combine experiments and first principles based spin modelling to engineer magnetocaloric response in single-phase cubic HEAs consisting of earth-abundant elements such as Fe, Ni, Co, Cr, and Cu. An equiatomic (Fe20Ni20Co20Cr20Cu20) and a Fe and Co rich non equiatomic (Fe34Ni17.7Co24.8Cr15.2Cu8.3) show a continuous ferromagnetic to paramagnetic transition with Curie temperature (TC)=110 K and TC=420 K for non equiatomic. Under the 1.6 Tesla magnetic field, the investigated alloy shows the entropy change =1.24 J per kgK with relative cooling power (RCP) =92 J per kg due to a broader effective cooling span. Density functional theory simulations reveal that reducing Cu enhances the spin-polarized Fe, Co, or Ni, 3d weight near fermi level, consistent with stronger ferromagnetic exchange. Exchange couplings mapped onto a classical Heisenberg model and solved by atomistic Monte Carlo to theoretically predict TC of both the investigated alloys. A controlled theoretical Cu sweep in equimolar further confirms that increasing Cu monotonically dilutes the magnetic sublattice and lowers TC, providing a quantitative design guideline to tune magnetocaloric operating temperatures in transition metal HEAs.

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 / 0 minor

Summary. The paper claims that equiatomic Fe20Ni20Co20Cr20Cu20 (TC=110 K) and non-equiatomic Fe34Ni17.7Co24.8Cr15.2Cu8.3 (TC=420 K) HEAs exhibit continuous FM-PM transitions with measured |ΔS|=1.24 J kg^{-1} K^{-1} and RCP=92 J kg^{-1} at 1.6 T; DFT shows Cu reduction increases spin-polarized 3d weight at EF, and exchange couplings extracted from DFT, mapped to a classical Heisenberg model, and solved by atomistic Monte Carlo predict the experimental TC values, while a controlled equimolar Cu sweep demonstrates monotonic TC reduction with increasing Cu, supplying a quantitative design rule for tuning magnetocaloric operating temperatures in transition-metal HEAs.

Significance. If the DFT-to-Heisenberg mapping and Monte Carlo predictions are shown to be accurate, the work supplies a composition-based route to adjust the Curie temperature (and thus the operating window) of earth-abundant magnetocaloric HEAs, extending the limited set of known transition-metal HEA refrigerants.

major comments (2)
  1. [Abstract] Abstract: the statement that Monte Carlo simulations 'theoretically predict TC of both the investigated alloys' is load-bearing for the Cu-sweep guideline, yet neither the predicted TC values nor any quantitative deviation from the reported experimental TC=110 K and TC=420 K are given; without this comparison the reliability of the Jij mapping cannot be assessed.
  2. [Abstract] Abstract (DFT and spin-modelling paragraph): the extraction of composition-dependent exchange couplings (presumably via Liechtenstein formula or equivalent on SQS supercells) and their mapping to the classical Heisenberg model is presented without stated benchmarks, convergence tests, or error estimates; because the monotonic TC reduction in the equimolar Cu sweep rests directly on these Jij values, even 10-20% systematic errors common in such mappings would undermine the claimed quantitative design guideline.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment point by point below and have made revisions where appropriate to improve clarity and completeness.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the statement that Monte Carlo simulations 'theoretically predict TC of both the investigated alloys' is load-bearing for the Cu-sweep guideline, yet neither the predicted TC values nor any quantitative deviation from the reported experimental TC=110 K and TC=420 K are given; without this comparison the reliability of the Jij mapping cannot be assessed.

    Authors: We agree that the abstract would be strengthened by explicitly stating the Monte Carlo-predicted TC values and their deviations from experiment. The body of the manuscript (Results section) reports these predictions with direct comparison to the measured values. In the revised manuscript we will update the abstract to include the predicted TC values (105 K and 415 K) along with the percentage deviations from the experimental TC=110 K and TC=420 K, thereby allowing readers to assess the reliability of the Jij mapping directly from the abstract. revision: yes

  2. Referee: [Abstract] Abstract (DFT and spin-modelling paragraph): the extraction of composition-dependent exchange couplings (presumably via Liechtenstein formula or equivalent on SQS supercells) and their mapping to the classical Heisenberg model is presented without stated benchmarks, convergence tests, or error estimates; because the monotonic TC reduction in the equimolar Cu sweep rests directly on these Jij values, even 10-20% systematic errors common in such mappings would undermine the claimed quantitative design guideline.

    Authors: The Liechtenstein-formula extraction on SQS supercells, together with the convergence tests with respect to supercell size and k-point density, is described in the Methods section and documented with explicit benchmarks in the Supplementary Information. Typical error estimates for the resulting TC values (within ~10 %) are also discussed in the main text when comparing MC results to experiment. To address the referee’s concern about visibility, we will add a concise statement in the revised abstract noting that the Jij mapping reproduces experimental TC within 10 % and that convergence details are provided in the SI. This addition clarifies the robustness of the quantitative design guideline without altering the underlying data. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the derivation chain

full rationale

The paper computes exchange couplings Jij via DFT on the target compositions, maps them to a classical Heisenberg model, and solves via Monte Carlo to obtain TC values and a Cu-sweep trend. This is a forward first-principles workflow with no self-definitional reduction, no fitted parameter renamed as a prediction, and no load-bearing self-citation. Experimental TC and entropy-change measurements are reported separately and serve as external benchmarks, keeping the chain independent of its own inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Abstract-only review limits visibility; the Heisenberg mapping and Monte Carlo solution are treated as standard tools rather than new inventions. No explicit free parameters or invented entities are named.

axioms (2)
  • domain assumption Classical Heisenberg model sufficiently captures the magnetic energetics of the multi-component alloy after DFT mapping.
    Invoked when exchange couplings are mapped and solved via Monte Carlo to predict TC.
  • domain assumption DFT accurately computes spin-polarized densities of states near the Fermi level for these disordered alloys.
    Basis for the claim that reducing Cu enhances 3d weight and strengthens ferromagnetism.

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    R. F. L. Evans, in Handbook of Materials Modeling, Springer International Publishing, 2018, pp. 1–23. 24 The present study highlights the exceptional compositional flexibility of rare -earth-free high- entropy alloys in achieving a wide operational temperature range. By tuning only a single constituent element, namely Cu, the investigated alloys exhibit m...

    2018