Possible observation of quantum spin-nematic phase in a frustrated magnet

Kohama, Yoshimitsu; Ishikawa, Hajime; Matsuo, Akira; Kindo, Koichi; Shannon, Nic; Hiroi, Zenji

doi:10.1073/pnas.1821969116

Cited by 80 publications

(60 citation statements)

References 31 publications

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“…If we directly use this parameter set, we have a rather large value (γ = 2.5 K) of the relevant γ coupling, and the γ term dominates the lowenergy physics over the entire range of the magnetic field below the 1 3 -plateau for h ẑ. To obtain a rich phase diagram as observed experimentally [35][36][37] (and shown (Color online) Critical temperatures associated with the SDW, incommensurate cone, and canted orthogonal orders, determined by the chain mean field theory for (a) h ẑ and (b) h x. We use the modified parameter set in Eqs.…”

Section: Summary Of the Resultsmentioning

confidence: 99%

“…The experimental investigations of the magnetic phase diagram [35][36][37] have mostly been conducted for the case of H z as shown in Fig. 1(a).…”

Section: Discussionmentioning

confidence: 99%

“…1(b,c) in this work stimulate further experimental studies. The nature of the two-step transition to Phase I with decrease in temperature [36,37,43] also merits further investigation in both theory and experiment. Here we discuss how the symmetry of the space group P2 1 /a (No.…”

Section: Discussionmentioning

confidence: 99%

“…3(b). Lastly, the experimental value H c1 = 27.5 T [35,37] of the low-field end of the 1 3 -plateau poses another constraint. We can therefore summarize the quantitative requirements for the effective model as follows:…”

Section: E Modification Of the Coupling Constantsmentioning

confidence: 99%

“…In this context, volborthite Cu 3 V 2 O 7 (OH) 2 ·2H 2 O is a fascinating material for which a wealth of field-induced phenomena have been observed in powder [31][32][33][34] and single-crystal [35][36][37][38][39][40] samples. The material was originally considered as a candidate for a spin- 1 2 kagome antiferromagnet [18], and a sign of strong frustration has been found in the low magnetic transition temperature around 1 K in comparison with the Curie-Weiss temperature −155 K [32,[41][42][43].…”

Section: Introductionmentioning

confidence: 99%

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Effects of Dzyaloshinskii–Moriya Interactions in Volborthite: Magnetic Orders and Thermal Hall Effect

Furukawa

Momoi

2020

J. Phys. Soc. Jpn.

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Volborthite offers an interesting example of a highly frustrated quantum magnet in which ferromagnetic and antiferromagnetic interactions compete on anisotropic kagome lattices. A recent density functional theory calculation has provided a magnetic model based on coupled trimers, which is consistent with a broad 1 3 -magnetization plateau observed experimentally. Here we study the effects of Dzyaloshinskii-Moriya (DM) interactions in volborthite. We derive an effective model in which pseudospin-1 2 moments emerging on trimers form a network of an anisotropic triangular lattice. Using the effective model, we show that for a magnetic field perpendicular to the kagome layer, magnon excitations from the 1 3 -plateau feel a Berry curvature due to the DM interactions, giving rise to a thermal Hall effect. Our magnon Bose gas theory can explain qualitative features of the magnetization and the thermal Hall conductivity measured experimentally. A further quantitative comparison with experiment poses constraints on the coupling constants in the effective model, promoting a quasi-one-dimensional picture. Based on this picture, we analyze low-temperature magnetic phase diagrams using effective field theory, and point out their crucial dependence on the field direction. arXiv:1909.09425v1 [cond-mat.str-el] 20 Sep 2019and for r ∈ B by H r,r+u =J 1 S r,1 · S r+u,1 + J S r,2 · S r+u,1 − D 1 · (S r,1 × S r+u,1 ) − D · (S r,2 × S r+u,1 ), H r,r+v =J 1 S r,3 · S r+v,3 + J S r,3 · S r+v,2 +D 1 · (S r,3 × S r+v,3 ) +D · (S r,3 × S r+v,2 ).Furthermore, the inter-trimer interactions along b are given for r ∈ X = A, B by H r,r+b =J 2 (S r,1 · S r+b,1 + S r,3 · S r+b,3 ) − D 2X · (S r,1 × S r+b,1 − S r,3 × S r+b,3 )

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Section: Summary Of the Resultsmentioning

confidence: 99%

“…The experimental investigations of the magnetic phase diagram [35][36][37] have mostly been conducted for the case of H z as shown in Fig. 1(a).…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: E Modification Of the Coupling Constantsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of Dzyaloshinskii–Moriya Interactions in Volborthite: Magnetic Orders and Thermal Hall Effect

Furukawa

Momoi

2020

J. Phys. Soc. Jpn.

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A Unifying Perspective of Common Motifs That Occur across Disparate Classes of Materials Harboring Displacive Phase Transitions

Grünebohm

Hütten

Böhmer

et al. 2023

Advanced Energy Materials

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Several classes of materials manifest displacive phase transitions, including shape memory alloys, many electronically correlated materials, superconductors, and ferroelectrics. Each of these classes of materials displays a wide range of fascinating properties and functionalities that are studied in disparate communities. However, these materials’ classes share similar electronic and phononic instabilities in conjunction with microstructural features. Specifically, the common motifs include twinned microstructures, anomalies in the transport behavior, softening of specific phonons, and frequently also (giant) Kohn anomalies, soft phonons, and/or nesting of the Fermi surface. These effects, phenomena, and their applications have until now been discussed in separate communities, which is a missed opportunity. In this perspective a unified framework is presented to understand these materials, by identifying similarities, defining a unified phenomenological description of displacive phase transitions and the associated order parameters, and introducing the main symmetry‐breaking mechanisms. This unified framework aims to bring together experimental and theoretical know‐how and methodologies across disciplines to enable unraveling hitherto missing important mechanistic understanding about the phase transitions in (magnetic) shape memory alloys, superconductors and correlated materials, and ferroelectrics. Connecting structural and electronic phenomena and microstructure to functional properties may offer so‐far unknown pathways to innovate applications based on these materials.

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Orientational Order Parameters for Arbitrary Quantum Systems

Vrugt

Wittkowski

2020

Annalen der Physik

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The concept of quantum-mechanical nematic order, which is important in systems such as superconductors, is based on an analogy to classical liquid crystals, where order parameters are obtained through orientational expansions. This method is generalized to quantum mechanics based on an expansion of Wigner functions. This provides a unified framework applicable to arbitrary quantum systems. The formalism recovers the standard definitions for spin systems. For Fermi liquids, the formalism reveals the nonequivalence of various definitions of the order parameter used in the literature. Moreover, new order parameters for quantum molecular systems with low symmetry are derived, which cannot be properly described with the usual nematic tensors.

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Possible observation of quantum spin-nematic phase in a frustrated magnet

Cited by 80 publications

References 31 publications

Effects of Dzyaloshinskii–Moriya Interactions in Volborthite: Magnetic Orders and Thermal Hall Effect

Effects of Dzyaloshinskii–Moriya Interactions in Volborthite: Magnetic Orders and Thermal Hall Effect

A Unifying Perspective of Common Motifs That Occur across Disparate Classes of Materials Harboring Displacive Phase Transitions

Orientational Order Parameters for Arbitrary Quantum Systems

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