- Open Access
Pressure-tuned spin chains in brochantite,
Phys. Rev. Materials 9, 094412 – Published 24 September, 2025
DOI: https://doi.org/10.1103/g459-sxb7
Abstract
Using high-pressure single-crystal x-ray diffraction combined with thermodynamic measurements and density-functional calculations, we uncover the microscopic magnetic model of the mineral brochantite, , and its evolution upon compression. The formation of antiferromagnetic spin chains with the effective intrachain coupling of is attributed to the occurrence of longer Cu–Cu distances and larger Cu–O–Cu bond angles between the structural chains within the layers of the brochantite structure. These zigzag spin chains are additionally stabilized by ferromagnetic couplings between second neighbors and moderately frustrated by several antiferromagnetic couplings that manifest themselves in the reduced Néel temperature of the material. Pressure tuning of the brochantite structure keeps its monoclinic symmetry unchanged and leads to the growth of antiferromagnetic with the rate of 3.2 K/GPa, although this trend is primarily caused by the enhanced ferromagnetic couplings . Our results show that the nature of magnetic couplings in brochantite and in other layered minerals is controlled by the size of the lattice translation along their structural chains and by the extent of the layer buckling.
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References (61)
- D. S. Inosov, Quantum magnetism in minerals, Adv. Phys. 67, 149 (2018).
- H. Zhang, Z. Zhao, D. Gautreau, M. Raczkowski, A. Saha, V. O. Garlea, H. Cao, T. Hong, H. O. Jeschke, S. D. Mahanti, T. Birol, F. F. Assaad, and X. Ke, Coexistence and interaction of spinons and magnons in an antiferromagnet with alternating antiferromagnetic and ferromagnetic quantum spin chains, Phys. Rev. Lett. 125, 037204 (2020).
- R. W. Smaha, W. He, J. M. Jiang, J. Wen, Y.-F. Jiang, J. P. Sheckelton, C. J. Titus, S. G. Wang, Y.-S. Chen, S. J. Teat et al., Materializing rival ground states in the barlowite family of kagome magnets: Quantum spin liquid, spin ordered, and valence bond crystal states, npj Quantum Mater. 5, 23 (2020).
- Y. Fu, M.-L. Lin, L. Wang, Q. Liu, L. Huang, W. Jiang, Z. Hao, C. Liu, H. Zhang, X. Shi et al., Dynamic fingerprint of fractionalized excitations in single-crystalline , Nat. Commun. 12, 3048 (2021).
- J. Wang, W. Yuan, P. M. Singer, R. W. Smaha, W. He, J. Wen, Y. S. Lee, and T. Imai, Freezing of the lattice in the kagome lattice Heisenberg antiferromagnet Zn-barlowite , Phys. Rev. Lett. 128, 157202 (2022).
- H. Jeschke, I. Opahle, H. Kandpal, R. Valentí, H. Das, T. Saha-Dasgupta, O. Janson, H. Rosner, A. Brühl, B. Wolf, M. Lang, J. Richter, S. Hu, X. Wang, R. Peters, T. Pruschke, and A. Honecker, Multistep approach to microscopic models for frustrated quantum magnets: The case of the natural mineral azurite, Phys. Rev. Lett. 106, 217201 (2011).
- M. Fujihala, H. O. Jeschke, K. Morita, T. Kuwai, A. Koda, H. Okabe, A. Matsuo, K. Kindo, and S. Mitsuda, Birchite as a model antiferromagnetic spin-1/2 Heisenberg chain, Phys. Rev. Mater. 6, 114408 (2022).
- S. Lebernegg, A. A. Tsirlin, O. Janson, and H. Rosner, Spin gap in malachite and its evolution under pressure, Phys. Rev. B 88, 224406 (2013).
- O. Janson, S. Furukawa, T. Momoi, P. Sindzingre, J. Richter, and K. Held, Magnetic behavior of volborthite determined by coupled trimers rather than frustrated chains, Phys. Rev. Lett. 117, 037206 (2016).
- V. A. Ginga, O. I. Siidra, A. A. Tsirlin, and A. Setzer, Assembling the puzzle of coparsite polymorphism: Synthesis, thermal expansion, and quantum magnetism of - and , Inorg. Chem. 63, 24573 (2024).
- S. Valadas, R. V. Freire, A. Cardoso, J. Mirao, C. B. Dias, P. Vandenabeele, and A. Candeias, On the use of the unusual green pigment brochantite () in the 16th-century Portuguese-Flemish paintings attributed to The Master Frei Carlos workshop, Microsc. Microanal. 21, 518 (2015).
- R. A. Livingston, Influence of the environment on the patina of the Statue of Liberty, Environ. Sci. Technol. 25, 1400 (1991).
- A. Möller, M. Schmitt, W. Schnelle, T. Förster, and H. Rosner, : A quasi-one-dimensional chain compound, Phys. Rev. B 80, 125106 (2009).
- K. Caslin, R. K. Kremer, F. S. Razavi, A. Schulz, A. Muñoz, F. Pertlik, J. Liu, M.-H. Whangbo, and J. M. Law, Characterization of the spin- linear-chain ferromagnet , Phys. Rev. B 89, 014412 (2014).
- S. Lebernegg, O. Janson, I. Rousochatzakis, S. Nishimoto, H. Rosner, and A. A. Tsirlin, Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsite , Phys. Rev. B 95, 035145 (2017).
- L. Heinze, H. O. Jeschke, I. I. Mazin, A. Metavitsiadis, M. Reehuis, R. Feyerherm, J.-U. Hoffmann, M. Bartkowiak, O. Prokhnenko, A. U. B. Wolter, X. Ding, V. S. Zapf, C. Corvalán Moya, F. Weickert, M. Jaime, K. C. Rule, D. Menzel, R. Valentí, W. Brenig, and S. Süllow, Magnetization process of atacamite: A case of weakly coupled sawtooth chains, Phys. Rev. Lett. 126, 207201 (2021).
- S. Vilminot, M. Richard-Plouet, G. André, D. Swierczynski, F. Bourée-Vigneron, and M. Kurmoo, Nuclear and magnetic structures and magnetic properties of synthetic brochantite, , Dalton Trans. 1455 (2006).
- A. M. Chakkingal, C. Fuller, M. Avdeev, R. Gumeniuk, K. K. Parui, M. C. Rahn, F. Pabst, Y. Wang, S. Granovsky, A. Korshunov, D. Chernyshov, D. S. Inosov, and D. C. Peets, Stacking disorder in novel ABAC-stacked brochantite, , Phys. Rev. Mater. 9, 054407 (2025).
- S. E. Nikitin, T. Xie, A. Gazizulina, B. Ouladdiaf, J. A. R. Velamazán, I. F. Díaz-Ortega, H. Nojiri, L. M. Anovitz, A. M. dos Santos, O. Prokhnenko, and A. Podlesnyak, Helical spin dynamics in commensurate magnets: A study on brochantite, , Phys. Rev. Res. 5, 033111 (2023).
- Y. Li, B. Pan, S. Li, W. Tong, L. Ling, Z. Yang, J. Wang, Z. Chen, Z. Wu, and Q. Zhang, Gapless quantum spin liquid in the anisotropic kagome antiferromagnet , New J. Phys. 16, 093011 (2014).
- M. Gomilšek, M. Klanjšek, M. Pregelj, F. C. Coomer, H. Luetkens, O. Zaharko, T. Fennell, Y. Li, Q. M. Zhang, and A. Zorko, Instabilities of spin-liquid states in a quantum kagome antiferromagnet, Phys. Rev. B 93, 060405(R) (2016).
- M. Gomilšek, M. Klanjšek, R. Žitko, M. Pregelj, F. Bert, P. Mendels, Y. Li, Q. M. Zhang, and A. Zorko, Field-induced instability of a gapless spin liquid with a spinon Fermi surface, Phys. Rev. Lett. 119, 137205 (2017).
- M. Gomilšek, R. Žitko, M. Klanjšek, M. Pregelj, C. Baines, Y. Li, Q. Zhang, and A. Zorko, Kondo screening in a charge-insulating spinon metal, Nat. Phys. 15, 754 (2019).
- A. Fitch, C. Dejoie, E. Covacci, G. Confalonieri, O. Grendal, L. Claustre, P. Guillou, J. Kieffer, W. de Nolf, S. Petitdemange, M. Ruat, and Y. Watier, ID22 – the high-resolution powder-diffraction beamline at ESRF, J. Synchrotron Radiat. 30, 1003 (2023).
- Stoe & Cie GmbH X-AREA, X-RED32, X-SHAPE and LANA 2019, Stoe & Cie, https://www.stoe.com/products/xarea/.
- H.-P. Liermann, Z. Konôpková, W. Morgenroth, K. Glazyrin, J. Bednarčik, E. E. McBride, S. Petitgirard, J. T. Delitz, M. Wendt, Y. Bican et al., The extreme conditions beamline P02.2 and the extreme conditions science infrastructure at PETRA III, J. Synchrotron Radiat. 22, 908 (2015).
- CrysAlisPRO software system, version 1.171.37.35, Rigaku Oxford Diffraction (2014), https://rigaku.com/products/crystallography/x-ray-diffraction/crysalispro.
- V. Petříček, M. Dušek, and L. Palatinus, Crystallographic computing system JANA2006: General features, Z. Krist. 229, 345 (2014).
- H. K. Mao, J. Xu, and P. M. Bell, Calibration of the Ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions, J. Geophys. Res.: Solid Earth 91, 4673 (1986).
- V. A. Ginga, B. Shen, E. Uykur, N. Giordano, P. Gegenwart, and A. A. Tsirlin, Pressure-tuned spin chains in brochantite, : data (2025) [Data set], Zenodo (2025), https://doi.org/10.5281/zenodo.15225372.
- B. Shen, A. Jesche, M. L. Seidler, F. Freund, P. Gegenwart, and A. A. Tsirlin, Interplay of magnetism and dimerization in the pressurized Kitaev material , Phys. Rev. B 104, 134426 (2021).
- G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- O. Janson, J. Richter, and H. Rosner, Modified kagome physics in the natural spin-1/2 kagome lattice systems: Kapellasite and haydeeite , Phys. Rev. Lett. 101, 106403 (2008).
- S. Lebernegg, A. A. Tsirlin, O. Janson, and H. Rosner, Two energy scales of spin dimers in clinoclase , Phys. Rev. B 87, 235117 (2013).
- H. J. Xiang, E. J. Kan, S.-H. Wei, M.-H. Whangbo, and X. G. Gong, Predicting the spin-lattice order of frustrated systems from first principles, Phys. Rev. B 84, 224429 (2011).
- D. O. Nekrasova, A. A. Tsirlin, M. Colmont, O. Siidra, H. Vezin, and O. Mentré, Magnetic hexamers interacting in layers in the minerals, Phys. Rev. B 102, 184405 (2020).
- A. Panther, A. A. Tsirlin, and I. Rousochatzakis, Frustration relief and reorientation transition in the kagomelike dolerophanite , Phys. Rev. B 108, 224410 (2023).
- K. Koepernik and H. Eschrig, Full-potential nonorthogonal local-orbital minimum-basis band-structure scheme, Phys. Rev. B 59, 1743 (1999).
- M. Helliwell and J. V. Smith, Brochantite, Acta Cryst. C53, 1369 (1997).
- S. Merlino, N. Perchiazzi, and D. Franco, Brochantite, : OD character, polytypism and crystal structures, Eur. J. Miner. 15, 267 (2003).
- S. J. Mills, A. R. Kampf, M. Pasero, and S. Merlino, Discreditation of “orthobrochantite” (IMA 7864) as the MDO1 polytype of brochantite, Eur. J. Miner. 22, 453 (2010).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/g459-sxb7 for the additional XRD data, specific heat data, and details of the hydrogen bonds.
- R. O. Kuzian, S. Nishimoto, S.-L. Drechsler, J. Málek, S. Johnston, J. van den Brink, M. Schmitt, H. Rosner, M. Matsuda, K. Oka, H. Yamaguchi, and T. Ito, : The first frustrated quasi-1D ferromagnet close to criticality, Phys. Rev. Lett. 109, 117207 (2012).
- D. C. Johnston, R. K. Kremer, M. Troyer, X. Wang, A. Klümper, S. L. Bud'ko, A. F. Panchula, and P. C. Canfield, Thermodynamics of spin antiferromagnetic uniform and alternating-exchange Heisenberg chains, Phys. Rev. B 61, 9558 (2000).
- M. R. Bissengaliyeva, N. S. Bekturganov, D. B. Gogol, S. T. Taimassova, T. A. Koketai, and M. A. Bespyatov, Heat capacities of natural antlerite and brochantite at low temperature, J. Chem. Eng. Data 58, 2904 (2013).
- C. Yasuda, S. Todo, K. Hukushima, F. Alet, M. Keller, M. Troyer, and H. Takayama, Néel temperature of quasi-low-dimensional Heisenberg antiferromagnets, Phys. Rev. Lett. 94, 217201 (2005).
- M. Merlini, N. Perchiazzi, M. Hanfland, and A. Bossak, Phase transition at high pressure in related to the reduction of the Jahn-Teller effect, Acta Cryst. B 68, 266 (2012).
- Y. Zhao, H. Cui, J. Zhang, Y. Ma, H. Tian, L. Wu, Q. Cui, and Y. Ma, Pressure-induced phase transformation of botallackite with a two-dimensional layered structure synthesized via a hydrothermal strategy, J. Phys. Chem. C 124, 9581 (2020).
- J. Xu, Y. Kuang, B. Zhang, Y. Liu, D. Fan, W. Zhou, and H. Xie, High-pressure study of azurite by synchrotron radiation x-ray diffraction and Raman spectroscopy, Phys. Chem. Minerals 42, 805 (2015).
- J. Ruiz-Fuertes, A. Friedrich, J. Pellicer-Porres, D. Errandonea, A. Segura, W. Morgenroth, E. Haussuhl, C.-Y. Tu, and A. Polian, Structure solution of the high-pressure phase of and evolution of the Jahn-Teller distortion, Chem. Mater. 23, 4220 (2011).
- K. Caslin, R. K. Kremer, F. S. Razavi, M. Hanfland, K. Syassen, E. E. Gordon, and M.-H. Whangbo, Competing Jahn-Teller distortions and hydrostatic pressure effects in the quasi-one-dimensional quantum ferromagnet , Phys. Rev. B 93, 022301 (2016).
- M. Schmidt and H. D. Lutz, Hydrogen bonding in basic copper salts: a spectroscopic study of malachite, , and brochantite, , Phys. Chem. Minerals 20, 27 (1993).
- S. Lebernegg, A. A. Tsirlin, O. Janson, G. J. Redhammer, and H. Rosner, Interplay of magnetic sublattices in langite , New J. Phys. 18, 033020 (2016).
- L. Yuan, Y. Zhao, B. Li, Y. Song, Y. Xia, B. Liu, J. Wang, and Y. Li, Possible coexistence of short-range resonating valence bond and long-range stripe correlations in the spatially anisotropic triangular-lattice quantum magnet , Phys. Rev. B 106, 085119 (2022).
- A. A. Kulbakov, D. Y. Kononenko, S. Nishimoto, Q. Stahl, A. M. Chakkingal, M. Feig, R. Gumeniuk, Y. Skourski, L. Bhaskaran, S. A. Zvyagin, J. P. Embs, I. Puente-Orench, A. Wildes, J. Geck, O. Janson, D. S. Inosov, and D. C. Peets, Coupled frustrated ferromagnetic and antiferromagnetic quantum spin chains in the quasi-one-dimensional mineral antlerite , Phys. Rev. B 106, L020405 (2022).
- A. Mannathanath Chakkingal, A. A. Kulbakov, J. Grumbach, N. S. Pavlovskii, U. Stockert, K. K. Parui, M. Avdeev, R. Kumar, I. Niwata, E. Häußler, R. Gumeniuk, J. R. Stewart, J. P. Tellam, V. Pomjakushin, S. Granovsky, M. Doerr, E. Hassinger, S. Zherlitsyn, Y. Ihara, D. S. Inosov et al., Magnetic phase diagram of rouaite , Phys. Rev. B 110, 054442 (2024).
- J. Wang, M. Spitaler, Y.-S. Su, K. M. Zoch, C. Krellner, P. Puphal, S. E. Brown, and A. Pustogow, Controlled frustration release on the kagome lattice by uniaxial-strain tuning, Phys. Rev. Lett. 131, 256501 (2023).
- E. Fogh, G. Giriat, M. E. Zayed, A. Piovano, M. Boehm, P. Steffens, I. Safiulina, U. B. Hansen, S. Klotz, J.-R. Soh, E. Pomjakushina, F. Mila, B. Normand, and H. M. Rønnow, Spin waves and three dimensionality in the high-pressure antiferromagnetic phase of , Phys. Rev. Lett. 133, 246702 (2024).
- D. Chatterjee, P. Doležal, F. Abbruciati, T. Biesner, K. M. Zoch, R. Khasanov, S. S. Islam, G. Kaur, S. Roh, F. Capitani et al., Spin liquid state in Y-Kapellasite, by external pressure controlled frustration, arXiv:2502.09733.