pith. sign in

arxiv: 2512.13362 · v1 · submitted 2025-12-15 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci

Transport of Dirac magnons driven by gauge fields

Luis Fern\'andez , Ka Shen , Leandro O. Nascimento , Van S\'ergio Alves , Roberto E. Troncoso , Nicolas Vidal-Silva This is my paper

Pith reviewed 2026-05-16 22:22 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sci
keywords Dirac magnonsemergent gauge fieldsspin conductivitymagnonic quantum Hall effecthoneycomb ferromagnettopological magnon transportmagnon accumulation
0
0 comments X

The pith

Gauge fields induce a quantized transverse spin conductivity in Dirac magnons

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

The paper develops a quantum field theory describing Dirac magnons in a honeycomb ferromagnet coupled to emergent gauge fields. Any space- or time-dependent gauge perturbation drives the magnons out of equilibrium and produces spin currents plus magnon accumulation without thermal or chemical potential gradients. In the DC limit the transverse spin conductivity reaches the quantized value α² sgn(m) ħ/4π, where m is the topological magnon mass and α is the dimensionless coupling. This constitutes a magnonic analog of the quantum Hall effect. The AC conductivity shows a resonance when the drive frequency equals the topological gap, marking interband transitions.

Core claim

In the DC limit the transverse spin conductivity of Dirac magnons on the honeycomb lattice quantizes to σ^{xy} = α² sgn(m) ħ/4π. The quantization follows from the topological mass m of the Dirac cones and their coupling to gauge fields through the constant α; it holds at zero temperature for arbitrary static gauge profiles and requires no conventional driving forces.

What carries the argument

The dimensionless coupling α between Dirac magnons and emergent gauge fields, which converts gauge perturbations into topologically protected spin currents and density responses.

Load-bearing premise

The honeycomb ferromagnet hosts Dirac magnons with a well-defined topological mass m that couples to the gauge fields through a fixed dimensionless parameter α.

What would settle it

Measure the transverse spin conductivity in a honeycomb ferromagnet under a static, uniform gauge perturbation at zero temperature and check whether the value equals α² sgn(m) ħ/4π independent of microscopic details.

Figures

Figures reproduced from arXiv: 2512.13362 by Ka Shen, Leandro O. Nascimento, Luis Fern\'andez, Nicolas Vidal-Silva, Roberto E. Troncoso, Van S\'ergio Alves.

Figure 1
Figure 1. Figure 1: The polarization tensor, which corresponds to the [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Momentum dependence of the transverse spin con [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: AC magnon spin conductivity as a function of the [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

We present a unified quantum field theory for Dirac magnons coupled to emergent gauge fields. At zero temperature, any space- and time-dependent gauge perturbation drives magnons out of equilibrium, generating spin currents and magnon accumulation without conventional thermal or chemical potential gradients. For a honeycomb ferromagnet, we derive closed-form expressions for the induced density and current. In the DC limit, the transverse spin conductivity quantizes to $\sigma^{xy}=\alpha^2\text{sgn}(m)\hbar/4\pi$, a magnonic analog of the quantum Hall effect, where $m$ is the topological magnon mass and $\alpha$ a dimensionless coupling constant. In the AC regime, the conductivity exhibits a sharp resonance when the drive frequency matches the topological gap $\Delta$, signaling interband transitions. Our work establishes gauge fields as a versatile tool for controlling magnon transport and reveals topologically protected quantized responses.

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 / 2 minor

Summary. The manuscript develops a quantum field theory for Dirac magnons in a honeycomb ferromagnet coupled to emergent gauge fields. Gauge perturbations are shown to drive magnons out of equilibrium, inducing spin currents and accumulation without thermal or chemical gradients. Closed-form expressions are derived for the induced density and current; in the DC limit the transverse spin conductivity is claimed to quantize as σ^{xy}=α² sgn(m) ħ/4π (a magnonic quantum Hall analog), while the AC conductivity exhibits a resonance at the topological gap frequency Δ.

Significance. If the quantization holds under the stated assumptions, the work would establish gauge fields as a controllable handle on topological magnon transport, offering a route to dissipationless spin currents in magnonic systems. The derivation of explicit closed-form responses and the identification of an AC resonance are concrete strengths that could guide experiments on honeycomb ferromagnets. The result remains parametric in the free coupling α and mass m, so its predictive power is limited until these are fixed by microscopic parameters or experiment.

major comments (2)
  1. [DC limit] DC-limit section: the quantization σ^{xy}=α² sgn(m) ħ/4π is presented as exact, yet it requires α to be strictly momentum- and frequency-independent. The manuscript must demonstrate from the spin-wave expansion that lattice corrections away from the K/K' points do not renormalize α or mix higher bands in a way that shifts the DC value.
  2. [Conductivity derivation] Derivation of the conductivity: the claim that the DC response is purely topological with no interband scattering or lifetime contributions relies on bosonic commutation relations preserving the half-integer shift. An explicit calculation or Ward-identity argument showing cancellation of non-topological terms under finite gauge-field variation is needed to support the result.
minor comments (2)
  1. The abstract states that closed-form expressions for density and current are derived; these formulas should be written explicitly in the main text (with all intermediate steps) so readers can verify the steps leading to the quantized conductivity.
  2. [Theory setup] Notation: define the dimensionless coupling α and the topological mass m directly from the microscopic Hamiltonian at the beginning of the theory section to remove ambiguity about their origin.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments. We address each of the major comments below and have made revisions to the manuscript where necessary to strengthen the presentation and derivations.

read point-by-point responses

  1. Referee: [DC limit] DC-limit section: the quantization σ^{xy}=α² sgn(m) ħ/4π is presented as exact, yet it requires α to be strictly momentum- and frequency-independent. The manuscript must demonstrate from the spin-wave expansion that lattice corrections away from the K/K' points do not renormalize α or mix higher bands in a way that shifts the DC value.

    Authors: We agree with the referee that the quantization holds in the continuum Dirac limit where α is momentum-independent. To demonstrate the absence of renormalization from lattice effects, we have added a new subsection (Section 3.3) to the revised manuscript. There, we start from the full spin-wave expansion of the Heisenberg Hamiltonian on the honeycomb lattice and project onto the low-energy sector near the K and K' points. We show that the leading corrections to the Dirac Hamiltonian are quadratic in momentum and do not renormalize the linear coupling α at order q^0. These higher-order terms contribute only to O(q^2) corrections in the conductivity, which vanish in the DC limit. Regarding higher bands, their energy scale is set by the ferromagnetic exchange J, which is much larger than the topological mass gap Δ. Consequently, virtual transitions to these bands are suppressed and do not affect the DC spin conductivity at the order considered. We believe this addition addresses the concern while preserving the validity of the low-energy theory. revision: yes

  2. Referee: [Conductivity derivation] Derivation of the conductivity: the claim that the DC response is purely topological with no interband scattering or lifetime contributions relies on bosonic commutation relations preserving the half-integer shift. An explicit calculation or Ward-identity argument showing cancellation of non-topological terms under finite gauge-field variation is needed to support the result.

    Authors: We appreciate this comment, which highlights the need for a more rigorous justification. In the revised manuscript, we have expanded the derivation in Section 4 and added Appendix B, where we present a Ward-identity argument tailored to the bosonic system. Starting from the commutation relations of the magnon operators, we derive the continuity equation for the spin current in the presence of the gauge field. This identity shows that the topological contribution is protected, and any potential non-topological terms arising from interband processes or finite lifetimes cancel in the zero-frequency, zero-temperature limit. Specifically, because the system is bosonic and at T=0 with no occupied states below the gap, there is no phase space for dissipative scattering in the DC response. We also include a perturbative calculation in the gauge field strength that explicitly verifies the cancellation. These revisions provide the requested support for the purely topological nature of the DC conductivity. revision: yes

Circularity Check

0 steps flagged

No significant circularity; quantized conductivity follows from explicit Dirac model inputs

full rationale

The derivation begins from an assumed quantum field theory Hamiltonian for Dirac magnons on the honeycomb lattice coupled to emergent gauge fields via a constant dimensionless parameter α and topological mass m. Closed-form expressions for induced density and current are obtained by standard linear response or Kubo-formula techniques applied to this model. The DC limit σ^{xy}=α² sgn(m) ℏ/4π is the direct topological response (analogous to a Chern-Simons term or half-integer Hall conductivity for the bosonic Dirac cones) evaluated at zero temperature and zero frequency; it is not obtained by fitting to data or by redefining an output as an input. No load-bearing self-citations, ansatz smuggling, or uniqueness theorems from prior author work are required for the central result. The parameters α and m remain explicit model inputs that characterize the microscopic spin-wave expansion and gauge coupling; their presence in the final formula does not constitute circularity because the paper does not claim to predict their values independently. The derivation is therefore self-contained against the stated assumptions.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard quantum-field-theory axioms plus domain assumptions about Dirac magnons in honeycomb ferromagnets; α and m function as free parameters.

free parameters (2)
  • α
    Dimensionless coupling constant between magnons and gauge fields, introduced to parameterize the interaction strength.
  • m
    Topological magnon mass that opens the gap Δ and determines the sign of the quantized conductivity.
axioms (2)
  • domain assumption Honeycomb ferromagnets support Dirac magnons with a topological mass gap.
    Required to define the starting band structure and the quantized response.
  • domain assumption Gauge fields couple linearly to the magnon current via the unified QFT.
    Central modeling choice that enables the drive without thermal gradients.

pith-pipeline@v0.9.0 · 5473 in / 1446 out tokens · 50169 ms · 2026-05-16T22:22:27.232488+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

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

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

Works this paper leans on

65 extracted references · 65 canonical work pages · 1 internal anchor

  1. [1]

    Wehling, A

    T. Wehling, A. Black-Schaffer, and A. Balatsky, Dirac materials, Advances in Physics63, 1–76 (2014)

    work page 2014

  2. [2]

    Banerjee, D

    S. Banerjee, D. S. L. Abergel, H. ˚Agren, G. Aeppli, and A. V. Balatsky, Interacting dirac materials, Journal of Physics: Condensed Matter32, 405603 (2020)

    work page 2020

  3. [3]

    A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys.81, 109 (2009)

    work page 2009

  4. [4]

    Fujioka, R

    J. Fujioka, R. Yamada, M. Kawamura, S. Sakai, M. Hi- rayama, R. Arita, T. Okawa, D. Hashizume, M. Hoshino, and Y. Tokura, Strong-correlation induced high-mobility electrons in dirac semimetal of perovskite oxide, Nature Communications10, 10.1038/s41467-018-08149-y (2019)

    work page doi:10.1038/s41467-018-08149-y 2019

  5. [5]

    Cortijo, Y

    A. Cortijo, Y. Ferreir´ os, K. Landsteiner, and M. A. H. Vozmediano, Elastic gauge fields in weyl semimetals, Phys. Rev. Lett.115, 177202 (2015)

    work page 2015

  6. [6]

    A. A. Burkov and Y. B. Kim, z2 and chiral anomalies in topological dirac semimetals, Phys. Rev. Lett.117, 136602 (2016)

    work page 2016

  7. [7]

    Rylands, A

    C. Rylands, A. Parhizkar, A. A. Burkov, and V. Galitski, Chiral anomaly in interacting condensed matter systems, Phys. Rev. Lett.126, 185303 (2021)

    work page 2021

  8. [8]

    F. D. M. Haldane, Nobel lecture: Topological quantum matter, Rev. Mod. Phys.89, 040502 (2017)

    work page 2017

  9. [9]

    Qi and S.-C

    X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys.83, 1057 (2011)

    work page 2011

  10. [10]

    Vozmediano, M

    M. Vozmediano, M. Katsnelson, and F. Guinea, Gauge fields in graphene, Physics Reports496, 109–148 (2010)

    work page 2010

  11. [11]

    Yoshikawa, S

    N. Yoshikawa, S. Okumura, Y. Hirai, K. Ogawa, K. Fu- jiwara, J. Ikeda, A. Ozawa, T. Koretsune, R. Arita, A. Mitra, A. Tsukazaki, T. Oka, and R. Shimano, Light- induced anomalous hall conductivity in the massive three- dimensional dirac semimetal co 3sn2s2, Physical Review B 111, 10.1103/physrevb.111.245104 (2025)

    work page doi:10.1103/physrevb.111.245104 2025

  12. [12]

    Liang, P

    L. Liang, P. O. Sukhachov, and A. V. Balatsky, Axial magnetoelectric effect in dirac semimetals, Phys. Rev. Lett.126, 247202 (2021)

    work page 2021

  13. [13]

    Nagaosa, X

    N. Nagaosa, X. Z. Yu, and Y. Tokura, Gauge fields in real and momentum spaces in magnets: monopoles and skyrmions, Philosophical Transactions of the Royal Soci- ety A: Mathematical, Physical and Engineering Sciences 370, 5806–5819 (2012)

    work page 2012

  14. [14]

    H. Oike, T. Ebino, T. Koretsune, A. Kikkawa, M. Hirschberger, Y. Taguchi, Y. Tokura, and F. Kagawa, Topological nernst effect emerging from real-space gauge field and thermal fluctuations in a magnetic skyrmion lattice, Phys. Rev. B106, 214425 (2022)

    work page 2022

  15. [15]

    Llewellyn, E

    Z. Llewellyn, E. Mascot, O. A. Tretiakov, and S. Rachel, Interplay of magnetic textures with spin-orbit coupled substrates, Phys. Rev. B112, 155417 (2025)

    work page 2025

  16. [16]

    Tatara, Effective gauge field theory of spintronics, Physica E: Low-dimensional Systems and Nanostructures 106, 208–238 (2019)

    G. Tatara, Effective gauge field theory of spintronics, Physica E: Low-dimensional Systems and Nanostructures 106, 208–238 (2019)

    work page 2019

  17. [17]

    Araki, Magnetic textures and dynamics in mag- netic weyl semimetals, Annalen der Physik532, 10.1002/andp.201900287 (2019)

    Y. Araki, Magnetic textures and dynamics in mag- netic weyl semimetals, Annalen der Physik532, 10.1002/andp.201900287 (2019)

    work page doi:10.1002/andp.201900287 2019

  18. [18]

    S. S. Pershoguba, S. Banerjee, J. C. Lashley, J. Park, H. ˚Agren, G. Aeppli, and A. V. Balatsky, Dirac magnons in honeycomb ferromagnets, Phys. Rev. X8, 011010 (2018)

    work page 2018

  19. [19]

    F. Zhuo, J. Kang, A. Manchon, and Z. Cheng, Topologi- cal phases in magnonics, Advanced Physics Research4, 10.1002/apxr.202300054 (2023)

    work page doi:10.1002/apxr.202300054 2023

  20. [20]

    Scheie, P

    A. Scheie, P. Laurell, P. A. McClarty, G. E. Granroth, M. B. Stone, R. Moessner, and S. E. Nagler, Dirac magnons, nodal lines, and nodal plane in elemental gadolinium, Phys. Rev. Lett.128, 097201 (2022)

    work page 2022

  21. [21]

    Into the Holocene, anatomy of the Younger Dryas cold re- versal and preboreal oscillation,

    J.-H. Chung, K. Shin, T. R. Yokoo, D. Ueta, M. Imai, H.-s. Kim, D. H. Kiem, M. J. Han, and S.-i. Shamoto, Massive dirac magnons in the three-dimensional honeycomb mag- netic oxide FeTiO3, Scientific Reports15, 10.1038/s41598- 025-90478-2 (2025). 6

    work page doi:10.1038/s41598- 2025

  22. [22]

    J. A. Schneeloch, Y. Tao, Y. Cheng, L. Daemen, G. Xu, Q. Zhang, and D. Louca, Gapless dirac magnons in crcl3, npj Quantum Materials7, 10.1038/s41535-022-00473-3 (2022)

    work page doi:10.1038/s41535-022-00473-3 2022

  23. [23]

    H. Sun, D. Bhowmick, B. Yang, and P. Sengupta, In- teracting topological dirac magnons, Phys. Rev. B107, 134426 (2023)

    work page 2023

  24. [24]

    L. Chen, M. B. Stone, A. I. Kolesnikov, B. Winn, W. Shon, P. Dai, and J.-H. Chung, Massless dirac magnons in the two dimensional van der waals honeycomb magnet crcl3, 2D Materials9, 015006 (2021)

    work page 2021

  25. [25]

    R. Eto, I. Salgado-Linares, M. Mochizuki, J. Knolle, and A. Mook, Fate of topological dirac magnons in van der waals ferromagnets at finite temperature (2025), arXiv:2509.13900 [cond-mat.str-el]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  26. [26]

    Ferreiros and M

    Y. Ferreiros and M. A. Vozmediano, Elastic gauge fields and hall viscosity of dirac magnons, Physical Review B 97, 054404 (2018)

    work page 2018

  27. [27]

    S. Li, S. Guo, T. Hoke, and X. Chen, Thermal trans- port in magnetic materials: A review, Materials Today Electronics12, 100156 (2025)

    work page 2025

  28. [28]

    Brataas, B

    A. Brataas, B. van Wees, O. Klein, G. de Loubens, and M. Viret, Spin insulatronics, Physics Reports885, 1–27 (2020)

    work page 2020

  29. [29]

    Onose, T

    Y. Onose, T. Ideue, H. Katsura, Y. Shiomi, N. Nagaosa, and Y. Tokura, Observation of the magnon hall effect, Science329, 297–299 (2010)

    work page 2010

  30. [30]

    Nakata, S

    K. Nakata, S. K. Kim, and S. Takayoshi, Laser control of magnonic topological phases in antiferromagnets, Phys. Rev. B100, 014421 (2019)

    work page 2019

  31. [31]

    Wang, Z.-G

    Y. Wang, Z.-G. Zhu, and G. Su, Magnon spin photogal- vanic effect induced by aharonov-casher phase, Phys. Rev. B110, 054434 (2024)

    work page 2024

  32. [32]

    O. O. Boliasova and V. N. Krivoruchko, Magnonic aharonov-casher effect and electric field control of chirality- dependent spin-wave dynamics in antiferromagnets, Phys. Rev. B111, 174440 (2025)

    work page 2025

  33. [33]

    Letelier, R

    M. Letelier, R. E. Troncoso, and N. Vidal-Silva, Magnons in the strained heisenberg-kitaev magnet, Physical Review B112, 115121 (2025)

    work page 2025

  34. [34]

    Cayssol, Introduction to dirac materials and topological insulators, Comptes Rendus Physique14, 760 (2013)

    J. Cayssol, Introduction to dirac materials and topological insulators, Comptes Rendus Physique14, 760 (2013)

    work page 2013

  35. [35]

    E. C. Marino, L. O. Nascimento, V. S. Alves, and C. M. Smith, Interaction induced quantum valley hall effect in graphene, Phys. Rev. X5, 011040 (2015)

    work page 2015

  36. [36]

    The magnon field is represented by ¯ψ = ψ†γ0, where the Dirac matrices satisfy the algebra {γµ, γν } = −2δµν, with γ0 = ˙ıσz

    work page

  37. [37]

    Note that, in the chosen units, it is satisfied that [ g] = [ℏ], [A0] = [s−1], and [A i] = [m−1]

    work page

  38. [38]

    Odd terms do not contribute to the effective action and the next term is of order (g/ℏ)4, which can be neglected

    work page

  39. [39]

    Altland and B

    A. Altland and B. D. Simons,Condensed matter field theory(Cambridge university press, 2010)

    work page 2010

  40. [40]

    Maekawa, S

    S. Maekawa, S. O. Valenzuela, and E. Saitoh,Spin current (Oxford University Press, 2017)

    work page 2017

  41. [41]

    Hadadi, A

    N. Hadadi, A. Belayadi, A. AlRabiah, O. Ly, C. A. Akosa, M. Vogl, H. Bahlouli, A. Manchon, and A. Ab- bout, Pseudo electric field and pumping valley current in graphene nanobubbles, Physical Review B108, 195418 (2023)

    work page 2023

  42. [42]

    E. Sela, Y. Bloch, F. von Oppen, and M. B. Shalom, Quantum hall response to time-dependent strain gradients in graphene, Physical review letters124, 026602 (2020)

    work page 2020

  43. [43]

    Li and A

    B. Li and A. A. Kovalev, Magnon landau levels and spin responses in antiferromagnets, Physical Review Letters 125, 257201 (2020)

    work page 2020

  44. [44]

    M. M. Nayga, S. Rachel, and M. Vojta, Magnon landau levels and emergent supersymmetry in strained antiferro- magnets, Physical Review Letters123, 207204 (2019)

    work page 2019

  45. [45]

    J. Sun, H. Guo, and S. Feng, Magnon landau levels in the strained antiferromagnetic honeycomb nanoribbons, Physical Review Research3, 043223 (2021)

    work page 2021

  46. [46]

    Rold´ an-Molina, A

    A. Rold´ an-Molina, A. Nunez, and J. Fern´ andez-Rossier, Topological spin waves in the atomic-scale magnetic skyrmion crystal, New Journal of Physics18, 045015 (2016)

    work page 2016

  47. [47]

    Weber, D

    T. Weber, D. M. Fobes, J. Waizner, P. Steffens, G. S. Tucker, M. B¨ ohm, L. Beddrich, C. Franz, H. Gabold, R. Bewley,et al., Topological magnon band structure of emergent landau levels in a skyrmion lattice, Science375, 1025 (2022)

    work page 2022

  48. [48]

    Owerre, Topological honeycomb magnon hall effect: A calculation of thermal hall conductivity of mag- netic spin excitations, Journal of Applied Physics120, 10.1063/1.4954215 (2016)

    S. Owerre, Topological honeycomb magnon hall effect: A calculation of thermal hall conductivity of mag- netic spin excitations, Journal of Applied Physics120, 10.1063/1.4954215 (2016)

    work page doi:10.1063/1.4954215 2016

  49. [49]

    Amasay and E

    J. Amasay and E. Sela, Transport through dynamic pseu- dogauge fields and snake states in a corbino geometry, Physical Review B104, 125428 (2021)

    work page 2021

  50. [50]

    R. Sano, Y. Ominato, and M. Matsuo, Acoustomagnonic spin hall effect in honeycomb antiferromagnets, Physical Review Letters132, 236302 (2024)

    work page 2024

  51. [51]

    Holstein and H

    T. Holstein and H. Primakoff, Field dependence of the intrinsic domain magnetization of a ferromagnet, Physical Review58, 1098 (1940)

    work page 1940

  52. [52]

    The nearest and second neighbors of the honeycomb lat- tice given by α1 = a0 √ 3/2,−1/2 , α2 = a0 (0,1) , and α3 = −a0 √ 3/2,1/2 ; while β1 = −β4 = α1 −α 3, β2 =−β 5 =α 2 −α 1, andβ 3 =−β 6 =α 3 −α 2

    work page

  53. [53]

    Owerre, A first theoretical realization of honeycomb topological magnon insulator, Journal of Physics: Con- densed Matter28, 386001 (2016)

    S. Owerre, A first theoretical realization of honeycomb topological magnon insulator, Journal of Physics: Con- densed Matter28, 386001 (2016)

    work page 2016

  54. [54]

    Wang and X

    X. Wang and X. Wang, Anomalous magnon nernst effect of topological magnonic materials, Journal of Physics D: Applied Physics51, 194001 (2018)

    work page 2018

  55. [55]

    Hidalgo-Sacoto, R

    R. Hidalgo-Sacoto, R. Gonzalez, E. Vogel, S. Allende, J. D. Mella, C. Cardenas, R. E. Troncoso, and F. Munoz, Magnon valley hall effect in cri 3-based van der waals heterostructures, Physical Review B101, 205425 (2020)

    work page 2020

  56. [56]

    Aguilera, R

    E. Aguilera, R. Jaeschke-Ubiergo, N. Vidal-Silva, L. E. F. Torres, and A. Nunez, Topological magnonics in the two- dimensional van der waals magnet cri 3, Physical Review B102, 024409 (2020)

    work page 2020

  57. [57]

    Vidal-Silva, F

    N. Vidal-Silva, F. J. Pe˜ na, R. E. Troncoso, and P. Var- gas, Magnonic otto thermal machine, Physical Review Research6, 033164 (2024)

    work page 2024

  58. [58]

    S. K. Kim, K. Nakata, D. Loss, and Y. Tserkovnyak, Tunable magnonic thermal hall effect in skyrmion crystal phases of ferrimagnets, Physical review letters122, 057204 (2019)

    work page 2019

  59. [59]

    Funato, S

    T. Funato, S. Kinoshita, N. Tanahashi, S. Nakamura, and M. Matsuo, Spin current generation due to differential rotation, Physical Review B111, L060403 (2025)

    work page 2025

  60. [60]

    Fujimoto and M

    J. Fujimoto and M. Matsuo, Magnon current generation by dynamical distortion, Physical Review B102, 020406 (2020)

    work page 2020

  61. [61]

    Brataas, Y

    A. Brataas, Y. Tserkovnyak, and G. E. W. Bauer, Scat- 7 tering theory of gilbert damping, Phys. Rev. Lett.101, 037207 (2008)

    work page 2008

  62. [62]

    Kamra, R

    A. Kamra, R. E. Troncoso, W. Belzig, and A. Brataas, Gilbert damping phenomenology for two-sublattice mag- nets, Phys. Rev. B98, 184402 (2018)

    work page 2018

  63. [63]

    H. T. Simensen, A. Kamra, R. E. Troncoso, and A. Brataas, Magnon decay theory of gilbert damping in metallic antiferromagnets, Phys. Rev. B101, 020403 (2020)

    work page 2020

  64. [64]

    Demidov, S

    V. Demidov, S. Urazhdin, B. Divinskiy, V. Bessonov, A. Rinkevich, V. Ustinov, and S. Demokritov, Chemical potential of quasi-equilibrium magnon gas driven by pure spin current, Nature communications8, 1579 (2017)

    work page 2017

  65. [65]

    Liu and Z

    T. Liu and Z. Shi, Strain-induced dispersive landau lev- els: Application in twisted honeycomb magnets, Physical Review B103, 144420 (2021)

    work page 2021