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arxiv: 2604.24094 · v2 · submitted 2026-04-27 · ❄️ cond-mat.mtrl-sci

Understanding Damping Mechanisms via Spin Diffusion Length in Low-damping Li_(0.5)Al_(1.0)Fe_(1.5)O₄ Spinel Ferrite Thin Films

Pith reviewed 2026-05-08 03:15 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords magnon dampingspin diffusion lengthferrite thin filmsLAFOmagnon-phonon scatteringmagnetic impuritiesspintronics
0
0 comments X

The pith

Temperature dependence of spin diffusion length differs for electrically and thermally generated magnons in LAFO thin films, indicating distinct scattering mechanisms.

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

In low-damping Li0.5Al1.0Fe1.5O4 thin films the spin diffusion length stays nearly constant with rising temperature when magnons are generated electrically, but shortens when they are generated thermally. The authors link the first trend to relaxational scattering from magnetic impurities that limits low-momentum magnons and the second to magnon-phonon scattering that limits high-momentum magnons. This separation of damping channels is obtained by comparing the two generation methods in the same material. A sympathetic reader would care because it offers a practical way to identify which loss process dominates in a given low-damping insulator, helping guide the design of magnonic devices that need long propagation distances.

Core claim

In Li0.5Al1.0Fe1.5O4 thin films the spin diffusion length for thermally generated high-k magnons decreases with increasing temperature because magnon-phonon scattering dominates, whereas the spin diffusion length for electrically generated low-k magnons shows minimal change because relaxational scattering from magnetic impurities is the limiting process.

What carries the argument

Spin diffusion length measured separately for electrically and thermally generated magnons, used to distinguish high-k versus low-k populations and their associated scattering channels.

If this is right

  • Distinct temperature trends in spin diffusion length can identify which scattering channel dominates in a low-damping material.
  • Magnon-phonon scattering limits propagation of thermally generated magnons at higher temperatures.
  • Impurity-driven relaxational scattering limits propagation of electrically generated magnons across the measured temperature range.
  • LAFO thin films function as a model system for separating magnon damping contributions.

Where Pith is reading between the lines

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

  • The same comparative SDL approach could be applied to other low-damping insulators to map their dominant loss channels.
  • Electrical excitation may be preferable for maintaining longer magnon travel distances in devices operated at elevated temperatures.
  • Reducing magnetic impurity levels could extend the temperature window in which electrically generated magnons propagate far.

Load-bearing premise

The temperature dependence of spin diffusion length directly and exclusively reflects the stated scattering mechanisms without major contributions from temperature-dependent magnetization, interface changes, or other experimental factors.

What would settle it

A measurement showing that the temperature trend in spin diffusion length reverses or disappears when magnetic impurity density is lowered while keeping other parameters fixed.

Figures

Figures reproduced from arXiv: 2604.24094 by Clare C. Yu, Guanxiong Qu, Herv\'e M. Carruzzo, Ivan K. Schuller, Juan A. Hofer, Katya Mikhailova, Lerato Takana, Yuri Suzuki.

Figure 1
Figure 1. Figure 1: FIG. 1. Nonlocal transport experimental setup. (a) view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Nonlocal resistance amplitude as a function of view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Spin diffusion length as a function of temperature view at source ↗
read the original abstract

The mechanisms underlying magnon damping are of fundamental and technological interest in low-damping materials. We find low-damping ferrimagnetic insulator Li$_{0.5}$Al$_{1.0}$Fe$_{1.5}$O$_4$ (LAFO) thin films to be a promising model system for probing these mechanisms because of its distinct temperature dependent spin diffusion length (SDL) trends for electrically and thermally generated magnons. With increasing temperature, the electrical SDL shows minimal change, while the thermal SDL decreases. We attribute these trends to distinct magnon populations and scattering mechanisms: thermally generated high $k$ magnons are limited by magnon-phonon scattering, whereas electrically generated low $k$ magnons are limited by relaxational scattering from magnetic impurities.

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

1 major / 2 minor

Summary. The manuscript reports temperature-dependent spin diffusion length (SDL) measurements in low-damping Li0.5Al1.0Fe1.5O4 (LAFO) spinel ferrite thin films. Electrically generated magnons exhibit nearly temperature-independent SDL, while thermally generated magnons show decreasing SDL with increasing temperature. The authors attribute the contrasting trends to distinct magnon populations and scattering channels: relaxational scattering from magnetic impurities dominating low-k electrically generated magnons, and magnon-phonon scattering limiting high-k thermally generated magnons.

Significance. If the mechanistic attribution is substantiated, the work identifies LAFO as a model system for isolating specific magnon damping channels in ferrimagnetic insulators. This could advance understanding of damping mechanisms relevant to magnonic and spintronic devices, where low damping is critical, and provide a framework for distinguishing scattering processes via generation method and wavevector.

major comments (1)
  1. [Abstract and results/discussion of temperature-dependent SDL] The central attribution (abstract and discussion of SDL(T) trends) requires that measured SDL directly tracks magnon lifetime/diffusion without significant confounding from temperature-dependent saturation magnetization Ms(T), which enters both the magnon dispersion relation and the spin-mixing conductance at interfaces. The manuscript provides no indication that Ms(T) was independently measured and used to normalize extracted SDL values, nor that interface transparency or resistance was characterized across the temperature range to rule out these effects.
minor comments (2)
  1. [Methods or experimental section] Clarify the exact definition and extraction procedure for SDL in both electrical (e.g., via spin pumping or similar) and thermal (e.g., spin Seebeck) measurements, including any fitting models or assumptions used.
  2. [Results section] Provide quantitative values, error bars, and statistical analysis for the reported SDL trends rather than qualitative descriptions of 'minimal change' and 'decreases'.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive feedback. We address the major comment below and will revise the manuscript to strengthen the analysis of the SDL(T) trends.

read point-by-point responses
  1. Referee: [Abstract and results/discussion of temperature-dependent SDL] The central attribution (abstract and discussion of SDL(T) trends) requires that measured SDL directly tracks magnon lifetime/diffusion without significant confounding from temperature-dependent saturation magnetization Ms(T), which enters both the magnon dispersion relation and the spin-mixing conductance at interfaces. The manuscript provides no indication that Ms(T) was independently measured and used to normalize extracted SDL values, nor that interface transparency or resistance was characterized across the temperature range to rule out these effects.

    Authors: We agree that explicit treatment of Ms(T) and interface properties is necessary to fully substantiate the mechanistic attribution. In the revised manuscript we will add SQUID magnetometry data for Ms(T) on the same LAFO films. We will show that the fractional change in Ms over the experimental temperature window is modest and, when inserted into the magnon dispersion used for SDL extraction, does not reverse or eliminate the contrasting SDL(T) trends observed for electrically versus thermally generated magnons. Because any Ms(T)- or interface-related correction would affect both data sets in the same direction, the opposite temperature dependences we report cannot be explained by these factors alone and continue to support distinct scattering channels. We will also include the temperature-dependent sheet resistance of the Pt layer to confirm that interface transparency remains stable. These additions will be placed in the results section and discussed in the context of the SDL extraction model. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental trends interpreted via distinct magnon scattering channels

full rationale

The manuscript reports temperature-dependent spin diffusion length measurements on LAFO thin films for electrically versus thermally generated magnons. The central claim is an attribution of the observed flat electrical SDL(T) to impurity relaxational scattering on low-k magnons and the decreasing thermal SDL(T) to magnon-phonon scattering on high-k magnons. This attribution rests on qualitative comparison of measured trends with expected scattering physics; no equations, fitted parameters, or self-citations are used to derive the lengths or the attribution by construction. The paper is self-contained as an experimental observation plus mechanistic interpretation, with no load-bearing step that reduces a prediction to its own inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The interpretation rests on standard magnonics assumptions about magnon wave-vector distributions under electrical versus thermal excitation and on the existence of distinct scattering channels; no new entities are postulated and no free parameters are explicitly introduced in the abstract.

axioms (2)
  • domain assumption Electrically and thermally generated magnons populate different regions of k-space.
    Invoked to explain why the two SDL trends differ.
  • domain assumption Magnon-phonon scattering dominates at high k while impurity relaxational scattering dominates at low k.
    Used to assign the observed temperature trends to specific mechanisms.

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Works this paper leans on

54 extracted references · 4 canonical work pages

  1. [1]

    A. V. Chumak, V. I. Vasyuchka, A. A. Serga, and B. Hillebrands, Magnon spintronics, Nature Physics11, 453 (2015)

  2. [2]

    S. O. Demokritov and A. N. Slavin,Magnonics: From fundamentals to applications, Vol. 125 (Springer Science & Business Media, 2012)

  3. [3]

    Cornelissen, J

    L. Cornelissen, J. Liu, R. Duine, J. Ben Youssef, and B. Wees, Long-distance transport of magnon spin infor- mation in a magnetic insulator at room temperature, Na- ture Physics11, 1022 (2015)

  4. [4]

    S. T. B. Goennenwein, R. Schlitz, M. Pernpeint- ner, K. Ganzhorn, M. Althammer, R. Gross, and H. Huebl, Non-local magnetoresistance in YIG/Pt nanostructures, Applied Physics Letters107, 172405 (2015), https://pubs.aip.org/aip/apl/article- pdf/doi/10.1063/1.4935074/13149660/172405 1 online.pdf

  5. [5]

    J. Shan, L. J. Cornelissen, N. Vlietstra, J. Ben Youssef, T. Kuschel, R. A. Duine, and B. J. van Wees, Influence of yttrium iron garnet thickness and heater opacity on the nonlocal transport of electrically and thermally excited magnons, Phys. Rev. B94, 174437 (2016)

  6. [6]

    J. Shan, P. Bougiatioti, L. Liang, G. Reiss, T. Kuschel, and B. J. van Wees, Nonlocal magnon spin transport in NiFe2O4 thin films, Applied Physics Letters110, 132406 (2017)

  7. [7]

    B. L. Giles, Z. Yang, J. S. Jamison, J. M. Gomez-Perez, S. V´ elez, L. E. Hueso, F. Casanova, and R. C. Myers, Thermally driven long-range magnon spin currents in yt- trium iron garnet due to intrinsic spin Seebeck effect, Physical Review B96, 180412 (2017)

  8. [8]

    M. T. Gray, S. Emori, B. A. Gray, H. Jeon, O. M. J. van ’t Erve, B. T. Jonker, S. Kim, M. Suzuki, T. Ono, B. M. Howe, and Y. Suzuki, Spin-current generation in low- damping Ni0.65Zn0.35Al0.8Fe1.2O4 spinel ferrite, Physical Review Applied9, 064039 (2018)

  9. [9]

    L. J. Riddiford, J. J. Wisser, S. Emori, P. Li, D. Roy, E. Cogulu, O. van ’t Erve, Y. Deng, S. X. Wang, B. T. Jonker, A. D. Kent, and Y. Suzuki, Efficient spin current generation in low-damping Mg(Al, Fe2)O4 thin films, Ap- plied Physics Letters115, 10.1063/1.5119726 (2019)

  10. [10]

    Oyanagi, T

    K. Oyanagi, T. Kikkawa, and E. Saitoh, Magnetic field dependence of the nonlocal spin Seebeck effect in Pt/YIG/Pt systems at low temperatures, AIP Advances 10, 015031 (2020), https://pubs.aip.org/aip/adv/article- pdf/doi/10.1063/1.5135944/12999624/015031 1 online.pdf

  11. [11]

    R. Li, P. Li, D. Yi, L. J. Riddiford, Y. Chai, Y. Suzuki, D. C. Ralph, and T. Nan, Anisotropic magnon spin trans- port in ultrathin spinel ferrite thin films-evidence for anisotropy in exchange stiffness, Nano Letters22, 1167 (2022)

  12. [12]

    X.-Y. Wei, O. A. Santos, C. H. S. Lusero, G. E. W. Bauer, J. Ben Youssef, and B. J. van Wees, Giant magnon spin conductivity in ultrathin yttrium iron garnet films, Na- ture Materials21, 1352 (2022)

  13. [13]

    Gao, C.-H

    J. Gao, C.-H. Lambert, R. Schlitz, M. Fiebig, P. Gam- bardella, and S. V´ elez, Magnon transport and thermo- electric effects in ultrathin Tm 3Fe5O12/Pt nonlocal de- vices, Physical Review Research4, 043214 (2022)

  14. [14]

    R. Li, L. J. Riddiford, Y. Chai, M. Dai, H. Zhong, B. Li, P. Li, D. Yi, Y. Zhang, D. A. Broadway, A. E. E. Dubois, P. Maletinsky, J. Hu, Y. Suzuki, D. C. Ralph, and T. Nan, A puzzling insensitivity of magnon spin dif- fusion to the presence of 180-degree domain walls, Nature Communications14, 2393 (2023)

  15. [15]

    L. J. Cornelissen, J. Shan, and B. J. van Wees, Tem- perature dependence of the magnon spin diffusion length and magnon spin conductivity in the magnetic insulator yttrium iron garnet, Phys. Rev. B94, 180402 (2016)

  16. [16]

    J. M. Gomez-Perez, S. V´ elez, L. E. Hueso, and F. Casanova, Differences in the magnon diffusion length for electrically and thermally driven magnon currents in Y3Fe5O12, Phys. Rev. B101, 184420 (2020)

  17. [17]

    X. Y. Zheng, L. J. Riddiford, J. J. Wisser, S. Emori, and Y. Suzuki, Ultra-low magnetic damping in epitax- ial Li0.5Fe2.5O4 thin films, Applied Physics Letters117, 092407 (2020)

  18. [18]

    X. Y. Zheng, S. Channa, L. J. Riddiford, J. J. Wisser, K. Mahanlingam, C. T. Bowers, M. E. McConney, , A. T. N’Diaye, A. Vailionis, E. Cogulu, H. Ren, Z. Galazka, A. D. Kent, and Y. Suzuki, Ultra-thin lithium aluminate spinel ferrite films with perpendicular mag- netic anisotropy and low damping, Nat. Commun14, 10.1038/s41467-023-40733-9 (2023)

  19. [19]

    O’Mahoney, S

    D. O’Mahoney, S. Channa, X. Y. Zheng, A. Vailionis, P. Shafer, C. Klewe, A. T. N’Diaye, and S. Yuri, Alu- minum substitution in low damping epitaxial lithium fer- rite films, Appl. Phys. Lett.123(2023)

  20. [20]

    H. Ren, X. Y. Zheng, S. Channa, G. Wu, D. A. O’Mahoney, Y. Suzuki, and A. D. Kent, Hybrid spin Hall nano-oscillators based on ferromagnetic metal/ferrimagnetic insulator heterostructures, Nature Communications14, 1406 (2023)

  21. [21]

    S. P. Alaei, R. Raj, S. Channa, L. Takana, D. O’Mahoney, X. Y. Zheng, E. E. Fleck, T.-Y. Chen, Z. Galazka, A. D. Kent, K. A. Mkhoyan, and Y. Suzuki, Efficient spin trans- port across a disordered interface in a low damping mag- netic insulator/heavy metal bilayer, Applied Physics Let- ters127, 262403 (2025)

  22. [22]

    Takana, S

    L. Takana, S. Channa, X. Y. Zheng, D. O’Mahoney, S. Alaei, Y. Li, A. Vailionis, P. Shafer, A. T. N’Diaye, C. Klewe, I. Fisher, and Y. Suzuki, Low damping (111) oriented lithium aluminum ferrite thin films for spin wave applications, Applied Physics Letters127, 032406 (2025)

  23. [23]

    J. Tong, H. Paudyal, X. Liu, L. Takana, K. Mikhailova, Y. Suzuki, D. Paudyal, and X. Li, Direct Observation of Tunable Magnons in Epitaxial Lithium Aluminum Fer- rite Thin Films, Nano Letters26, 3073 (2026)

  24. [24]

    Sun, Y.-Y

    Y. Sun, Y.-Y. Song, H. Chang, M. Kabatek, M. Jantz, W. Schneider, M. Wu, H. Schultheiss, and A. Hoff- mann, Growth and ferromagnetic resonance properties of nanometer-thick yttrium iron garnet films, Applied Physics Letters101, 152405 (2012)

  25. [25]

    M. C. Onbasli, A. Kehlberger, D. H. Kim, G. Jakob, M. Kl¨ aui, A. V. Chumak, B. Hillebrands, and C. A. Ross, Pulsed laser deposition of epitaxial yttrium iron garnet films with low Gilbert damping and bulk-like magnetiza- tion, APL Materials2, 106102 (2014). 6

  26. [26]

    Soumah, N

    L. Soumah, N. Beaulieu, L. Qassym, C. Carr´ et´ ero, E. Jacquet, R. Lebourgeois, J. Ben Youssef, P. Bortolotti, V. Cros, and A. Anane, Ultra-low damping insulating magnetic thin films get perpendicular, Nature Commu- nications9, 3355 (2018)

  27. [27]

    J. F. K. Cooper, C. J. Kinane, S. Langridge, M. Ali, B. J. Hickey, T. Niizeki, K. Uchida, E. Saitoh, H. Am- baye, and A. Glavic, Unexpected structural and magnetic depth dependence of YIG thin films, Physical Review B 96, 104404 (2017)

  28. [28]

    S. M. Suturin, A. M. Korovin, V. E. Bursian, L. V. Lutsev, V. Bourobina, N. L. Yakovlev, M. Montec- chi, L. Pasquali, V. Ukleev, A. Vorobiev, A. De- vishvili, and N. S. Sokolov, Role of gallium diffusion in the formation of a magnetically dead layer at the Y3Fe5O12/Gd3Ga5O12 epitaxial interface, Physical Re- view Materials2, 104404 (2018)

  29. [29]

    S. S. Gaur and E. E. Marinero, Emergent Magnonic Ma- terials: Challenges and Opportunities, Materials (Basel, Switzerland)16, 6299 (2023)

  30. [30]

    A. Z. Arsad, A. W. M. Zuhdi, N. B. Ibrahim, and M. A. Hannan, Recent advances in yttrium iron garnet films: Methodologies, characterization, properties, appli- cations, and bibliometric analysis for future research di- rections, Applied Sciences13, 1218 (2023)

  31. [31]

    H. M. H. Mori and H. I. H. Ishiwara, Epitaxial growth of SrTiO 3 films on Si(100) substrates using a focused electron beam evaporation method, Japanese Journal of Applied Physics30, L1415 (1991)

  32. [32]

    L. Kang, J. Gao, H. R. Xu, S. Q. Zhao, H. Chen, and P. H. Wu, Epitaxial Mg 2SiO4 thin films with a spinel structure grown on Si substrates, Journal of Crystal Growth297, 100 (2006)

  33. [33]

    Baek and C.-B

    S.-H. Baek and C.-B. Eom, Epitaxial integration of perovskite-based multifunctional oxides on silicon, Acta Materialia61, 2734 (2013)

  34. [34]

    J. H. Van Vleck and R. Orbach, Ferrimagnetic resonance of dilute rare-earth doped iron garnets, Phys. Rev. Lett. 11, 65 (1963)

  35. [35]

    P. E. Seiden, Ferrimagnetic resonance relaxation in rare- earth iron garnets, Phys. Rev.133, A728 (1964)

  36. [36]

    See Supplemental Material at [URL-will-be-inserted-by publisher] for the sample characterization, experimental details, and theoretical derivations

  37. [37]

    A. V. Chumak, A. A. Serga, M. B. Jungfleisch, R. Neb, D. A. Bozhko, V. S. Tiberkevich, and B. Hillebrands, Di- rect detection of magnon spin transport by the inverse spin Hall effect, Applied Physics Letters100, 082405 (2012)

  38. [38]

    Uchida, J

    K. Uchida, J. Xiao, H. Adachi, J. Ohe, S. Takahashi, J. Ieda, T. Ota, Y. Kajiwara, H. Umezawa, H. Kawai, G. E. W. Bauer, S. Maekawa, and E. Saitoh, Spin seebeck insulator, Nat. Mater.9, 894 (2010)

  39. [39]

    J. Shan, L. J. Cornelissen, J. Liu, J. B. Youssef, L. Liang, and B. J. van Wees, Criteria for accurate determination of the magnon relaxation length from the nonlocal spin seebeck effect, Phys. Rev. B96, 184427 (2017)

  40. [40]

    J. A. Hofer, A. C. Basaran, T. D. Wang, F. E. Torres, and I. K. Schuller, Mechanically Tunable Metal–Insulator Transition in Flexible VO2 Devices for Ultra-Low Power Electronics, ACS Applied Electronic Materials7, 9869 (2025)

  41. [41]

    S. S.-L. Zhang and S. Zhang, Spin convertance at mag- netic interfaces, Phys. Rev. B86, 214424 (2012)

  42. [42]

    S. A. Bender and Y. Tserkovnyak, Interfacial spin and heat transfer between metals and magnetic insulators, Phys. Rev. B91, 140402 (2015)

  43. [43]

    F. J. Dyson, General theory of spin-wave interactions, Phys. Rev.102, 1217 (1956)

  44. [44]

    L. J. Cornelissen, K. J. H. Peters, G. E. W. Bauer, R. A. Duine, and B. J. van Wees, Magnon spin transport driven by the magnon chemical potential in a magnetic insula- tor, Phys. Rev. B94, 014412 (2016)

  45. [45]

    C. L. Pekeris, Note on the scattering of radiation in an inhomogeneous medium, Phys. Rev.71, 268 (1947)

  46. [46]

    Liu, L.-S

    Y. Liu, L.-S. Xie, Z. Yuan, and K. Xia, Magnon-phonon relaxation in yttrium iron garnet from first principles, Phys. Rev. B96, 174416 (2017)

  47. [47]

    Streib, N

    S. Streib, N. Vidal-Silva, K. Shen, and G. E. W. Bauer, Magnon-phonon interactions in magnetic insula- tors, Phys. Rev. B99, 184442 (2019)

  48. [48]

    S. Pal, G. Qu, H. M. Carruzzo, K. Mikhailova, L. Takana, Q. Xu, Y. Suzuki, C. C. Yu, and G. D. Fuchs, Low- temperature spin dynamics in lithium aluminum ferrite thin films: From cubic anisotropy to TLS-limited coher- ence, Phys. Rev. Mater. , (2026)

  49. [49]

    J¨ ackle, On the ultrasonic attenuation in glasses at low temperatures, Zeitschrift f¨ ur Physik257, 212 (1972)

    J. J¨ ackle, On the ultrasonic attenuation in glasses at low temperatures, Zeitschrift f¨ ur Physik257, 212 (1972)

  50. [50]

    Dyakonov and V

    M. Dyakonov and V. Perel, Possibility of orienting elec- tron spins with current, Soviet Journal of Experimental and Theoretical Physics Letters13, 467 (1971)

  51. [52]

    Valet and A

    T. Valet and A. Fert, Theory of the perpendicular mag- netoresistance in magnetic multilayers, Phys. Rev. B48, 7099 (1993)

  52. [53]

    S. S.-L. Zhang and S. Zhang, Magnon mediated electric current drag across a ferromagnetic insulator layer, Phys. Rev. Lett.109, 096603 (2012)

  53. [54]

    Takana, K

    L. Takana, K. Mikhailova, J. A. Hofer, G. Qu, K. Hu, J. Tong, X. Liu, X. Li, M. Flatte, I. K. Schuller, C. Yu, and Y. Suzuki, Microscopic understanding of thermal- magnon transport in a low-damping ferrimagnetic device, Not published. (2026)

  54. [55]

    Sinova, S

    J. Sinova, S. O. Valenzuela, J. Wunderlich, C. H. Back, and T. Jungwirth, Spin hall effects, Rev. Mod. Phys.87, 1213 (2015). Supplementary Information for Understanding Damping Mechanisms via Spin Diffusion Length in Low-damping Li 0.5Al1.0Fe1.5O4 Spinel Ferrite Thin Films Katya Mikhailova,1, 2, 3 Lerato Takana,1, 2 Guanxiong Qu, 4 Juan A. Hofer, 5 Herv´ ...