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Condensed Matter > Materials Science

arXiv:1907.10475 (cond-mat)
[Submitted on 24 Jul 2019 (v1), last revised 2 Dec 2019 (this version, v2)]

Title:The origin of up-up-down-down magnetic order in Cu$_2$GeO$_4$

Authors:Danis I. Badrtdinov, Vladimir V. Mazurenko, Alexander A. Tsirlin
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Abstract:We use density-functional band-structure calculations to explore the origin of the up-up-down-down (UUDD) magnetic order in Cu$_2$GeO$_4$ with the frustrated $J_1-J_2$ spin chains coupled into layers within the spinel-like crystal structure. In contrast to earlier studies, we find that the nearest-neighbor coupling $J_1$ may be negligibly small, owing to a nearly perfect compensation of the ferromagnetic direct exchange and antiferromagnetic superexchange. Under this condition, weak symmetric anisotropy of the exchange couplings gives rise to the UUDD order observed experimentally and also elucidates the non-trivial ordering pattern between the layers, whereas a small Dzyaloshinsky-Moriya interaction causes a spin canting that may generate local electric polarization. We argue that the buckling of the copper chains plays a crucial role in the suppression of $J_1$ in Cu$_2$GeO$_4$ and sets this compound apart from other $J_1-J_2$ chain magnets.
Comments: 10 pages, 9 figures
Subjects: Materials Science (cond-mat.mtrl-sci); Strongly Correlated Electrons (cond-mat.str-el)
Cite as: arXiv:1907.10475 [cond-mat.mtrl-sci]
  (or arXiv:1907.10475v2 [cond-mat.mtrl-sci] for this version)
  https://doi.org/10.48550/arXiv.1907.10475
Journal reference: Phys. Rev. B 100, 214401 (2019)
Related DOI: https://doi.org/10.1103/PhysRevB.100.214401

Submission history

From: Danis Badrtdinov [view email]
[v1] Wed, 24 Jul 2019 14:51:10 UTC (5,966 KB)
[v2] Mon, 2 Dec 2019 22:22:07 UTC (5,962 KB)
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