Magnetic Field Induced Quantum Spin Liquid in the Two Coupled Trillium Lattices of 
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Živković, Ivica; Favre, Virgile; Mejía, C. Salazar; Jeschke, Harald O.; Magrez, Arnaud; Dabholkar, Bhupen; Noculak, Vincent; Freitas, R. S.; Jeong, Minki; Hegde, Nagabhushan G.; Testa, Luc; Babkevich, P.; Su, Yixi; Manuel, Pascal; Luetkens, H.; Baines, C.; Baker, Peter J.; Wosnitza, J.; Zaharko, O.; Iqbal, Yasir; Reuther, Johannes; Rønnow, Henrik M.

doi:10.1103/physrevlett.127.157204

Cited by 18 publications

(6 citation statements)

References 38 publications

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“…Nonetheless, no spontaneous muon precession is observed. In fact, many systems with complex ordering such as multiple-Q [13] or incommensurate spiral [14] phases exhibit clear magnetic order based on neutron scattering results, but with no muon precession. This is typically presented as a qualitative result of broadened field distribution at the muon site without supporting calculations.…”

Section: Discussionmentioning

confidence: 99%

Novel magnetic ordering in LiYbO2 probed by muon spin relaxation

et al. 2022

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Section: Discussionmentioning

confidence: 99%

Novel magnetic ordering in LiYbO2 probed by muon spin relaxation

et al. 2022

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“…This correspondence allows one to perform direct theoryexperiment comparisons based on the outcomes of PFFRG, which have been carried out very successfully in past applications [59,60,148]. Having numerical access to the system's momentum resolved spin fluctuations as contained in χ Λ (k) is particularly important for magnetically disordered systems, such as quantum spin liquids.…”

Section: Susceptibilitiesmentioning

confidence: 99%

“…Reproduced from [59]. CC BY 4.0. lattice in K 2 Ni 2 (SO 4 ) 3 [60]. Indeed, no sign of magnetic long-range ordering has been observed in PbCuTe 2 O 6 down to 20mK despite a Curie-Weiss temperature of -23 K, while in K 2 Ni 2 (SO 4 ) 2 , a QSL is stabilized under the application of a magnetic field [194,195].…”

Section: Three-dimensional Quantum Spin Liquid Materialsmentioning

confidence: 99%

“…The pseudo-fermion functional renormalization group (PFFRG), which at its core consists of a hierarchy of flow equations for vertex functions, was formulated in a seminal work by Reuther and Wölfle [26,27], and subsequently developed over the years [28][29][30][31][32][33][34][35][36][37][38] to bring much-needed numerical guidance to such frustrated quantum magnets in two [39][40][41][42][43][44][45][46][47][48][49][50][51] and three spatial dimensions [43,[52][53][54][55][56][57][58][59][60][61][62][63][64][65][66]. Much technical understanding has been developed over the past fifteen years including ways to reduce the number of flow equations by symmetry-optimization [67], to reliably distinguish the formation of quantum spin liquids versus the longrange magnetic order, to expand the approach to the limits of large S [68] and large N …”

Section: Introductionmentioning

confidence: 99%

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Pseudo-fermion functional renormalization group for spin models

Müller,

Kiese,

Niggemann

et al. 2024

Rep. Prog. Phys.

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For decades, frustrated quantum magnets have been a seed for scientific progress and innovation in condensed matter. As much as the numerical tools for low-dimensional quantum magnetism have thrived and improved in recent years due to breakthroughs inspired by quantum information and quantum computation, higher-dimensional quantum magnetism can be considered as the final frontier, where strong quantum entanglement, multiple ordering channels, and manifold ways of paramagnetism culminate. At the same time, efforts in crystal synthesis have induced a significant increase in the number of tangible frustrated magnets which are generically three-dimensional in nature, creating an urgent need for quantitative theoretical modeling. We review the pseudo-fermion (PF) and pseudo-Majorana (PM) functional renormalization group (FRG) and their specific ability to address higher-dimensional frustrated quantum magnetism. First developed more than a decade ago, the PFFRG interprets a Heisenberg model Hamiltonian in terms of Abrikosov pseudofermions, which is then treated in a diagrammatic resummation scheme formulated as a renormalization group flow of $m$-particle pseudofermion vertices. The article reviews the state of the art of PFFRG and PMFRG and discusses their application to exemplary domains of frustrated magnetism, but most importantly, it makes the algorithmic and implementation details of these methods accessible to everyone. By thus lowering the entry barrier to their application, we hope that this review will contribute towards establishing PFFRG and PMFRG as the numerical methods for addressing frustrated quantum magnetism in higher spatial dimensions.

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“…This lattice type is relatively unexplored and magnetic insulators with the trillium motif, such as the MC material Na[Mn(HCOO) 3 ] ( S = 5/2), 21 are particularly intriguing. The more complex langbeinite type of compounds combines two interconnected trillium lattices, with prominent examples K 2 Ni 2 (SO 4 ) 3 ( S = 1), a field-induced quantum-spin-liquid candidate 22 with confirmed continuous spin excitations 23 or KSrFe 2 (PO 4 ) 3 ( S = 5/2) with a suggested spin-liquid state. 24 …”

Section: Introductionmentioning

confidence: 99%

Cs₂Fe₂(MoO₄)₃─A Strongly Frustrated Magnet with Orbital Degrees of Freedom and Magnetocaloric Properties

Kubíčková,

Weber,

Panthöfer

et al. 2024

Chem. Mater.

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We report an in-depth study of the thermodynamic and magnetocaloric properties of a strongly frustrated magnet, Cs 2 Fe 2 (MoO 4 ) 3 . The underlying structure belongs to the double trillium lattice, which consists of two Fe II (S = 2) sites with easyaxis and easy-plane single-ion anisotropy. Detailed 57 Fe Mossbauer spectroscopic investigations along with ligand-field calculations support the existence of disparate ground states. The antiferromagnetic ordered structure is presented by the propagation vector k = (0,0,0) with noncollinear magnetic moments of 2.97 μ B (Fe1) and 0.17 μ B (Fe2), respectively. Strong and disordered magnetic correlations exist in the temperature regime between T N ≈ 1.0 K and |θ CW | ≈ 22 K. The large degeneracy of the ground state is investigated in terms of its magnetocaloric response. Magnetization and specific heat measurements indicate a significant magnetocaloric cooling efficiency, making this rareearth-free compound a promising candidate for cryogenic magnetic refrigeration applications, with refrigeration capacity of 79 J kg −1 for Δ(μ 0 H) = 8 T.

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Magnetic Field Induced Quantum Spin Liquid in the Two Coupled Trillium Lattices of K2Ni2(SO

Cited by 18 publications

References 38 publications

Novel magnetic ordering in LiYbO2 probed by muon spin relaxation

Novel magnetic ordering in LiYbO2 probed by muon spin relaxation

Pseudo-fermion functional renormalization group for spin models

Cs₂Fe₂(MoO₄)₃─A Strongly Frustrated Magnet with Orbital Degrees of Freedom and Magnetocaloric Properties

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Magnetic Field Induced Quantum Spin Liquid in the Two Coupled Trillium Lattices of K2Ni2(SO

Cited by 18 publications

References 38 publications

Novel magnetic ordering in LiYbO2 probed by muon spin relaxation

Novel magnetic ordering in LiYbO2 probed by muon spin relaxation

Pseudo-fermion functional renormalization group for spin models

Cs2Fe2(MoO4)3─A Strongly Frustrated Magnet with Orbital Degrees of Freedom and Magnetocaloric Properties

Contact Info

Product

Resources

About

Cs₂Fe₂(MoO₄)₃─A Strongly Frustrated Magnet with Orbital Degrees of Freedom and Magnetocaloric Properties