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Frustration of long-range order via lattice geometries serves to amplify fluctuations of the order parameter and generate unconventional ground states that are highly sensitive to perturbations. Traditionally, this concept of geometric…

Coupling between spin and lattice degrees of freedom are important in geometrically frustrated magnets where they can lead to degeneracy lifting and novel orders. We show that moderate spin-lattice couplings in triangular and Kagome…

Strongly Correlated Electrons · Physics 2008-02-20 Fa Wang , Ashvin Vishwanath

Spin-1/2 Heisenberg model on kagome lattice is a typical frustrated quantum spin system. A basic structure of kagome lattice is also present in kagome-strip lattice in one dimension, where a similar type of frustration is expected. We thus…

Strongly Correlated Electrons · Physics 2018-01-19 K. Morita , T. Sugimoto , S. Sota , T. Tohyama

muSR experiments on the geometrically frustrated spinel oxide, Li2Mn2O4, show the development of spin correlations over a range of length scales with decreasing temperature. Increased relaxation below 150 K is consistent with the onset of…

Strongly Correlated Electrons · Physics 2009-11-11 C. R. Wiebe , P. L. Russo , A. T. Savici , Y. J. Uemura , G. J. MacDougall , G. M. Luke , S. Kuchta , J. E. Greedan

The Fe3+ lattice in the Bi2Fe4O9 compound is found to materialize the first analogue of a magnetic pentagonal lattice. Due to its odd number of bonds per elemental brick, this lattice, subject to first neighbor antiferromagnetic…

Strongly Correlated Electrons · Physics 2016-11-25 Eric Ressouche , Virginie Simonet , Benjamin Canals , Marin Gospodinov , Vassil Skumryev

Polycrystalline samples of NaYbO$_2$ are investigated by bulk magnetization and specific-heat measurements, as well as by nuclear magnetic resonance (NMR) and electron spin resonance (ESR) as local probes. No signatures of long-range…

Strongly Correlated Electrons · Physics 2019-05-08 K. M. Ranjith , D. Dmytriieva , S. Khim , J. Sichelschmidt , S. Luther , D. Ehlers , H. Yasuoka , J. Wosnitza , A. A. Tsirlin , H. Kühne , M. Baenitz

A novel cuprate Volborthite, Cu3V2O7(OH)2-2H2O, containing an S-1/2 (Cu 2+ spin) kagome-like lattice is studied by magnetic susceptibility, specific heat, and 51 V NMR measurements. Signs for neither long-range order nor spin-gapped singlet…

Strongly Correlated Electrons · Physics 2009-11-07 Z. Hiroi , M. Hanawa , N. Kobayashi , M. Nohara , H. Takagi , Y. Kato , M. Takigawa

The presence of competing interactions due to geometry leads to frustration in quantum spin models. As a consequence, the ground state of such systems often displays a large degeneracy that can be lifted due to thermal or quantum effects.…

Statistical Mechanics · Physics 2024-08-23 Pratyankara Narasimhan , Stephan Humeniuk , Ananda Roy , Victor Drouin-Touchette

Ba$_8$CoNb$_6$O$_{24}$ presents a system whose Co$^{2+}$ ions have an effective spin 1/2 and construct a regular triangular-lattice antiferromagnet (TLAFM) with a very large interlayer spacing, ensuring purely two-dimensional character. We…

Strongly Correlated Electrons · Physics 2018-04-17 Y. Cui , J. Dai , P. Zhou , P. S. Wang , T. R. Li , W. H. Song , J. C. Wang , L. Ma , Z. Zhang , S. Y. Li , G. M. Luke , B. Normand , T. Xiang , W. Yu

Two-dimensional honeycomb lattices, characterized by their low coordination numbers, provide a fertile platform for exploring various quantum phenomena due to the intricate interplay between competing magnetic interactions, spin-orbit…

Strongly Correlated Electrons · Physics 2025-12-15 J. Khatua , Suheon Lee , M. Pregelj , Samiul Sk , S. K. Panda , Bassam Hitti , Gerald D. Morris , I. da Silva , Kwang-Yong Choi , P. Khuntia

Successive magnetic phase transitions at $T_1$=17.5 K and $T_2$=18.5 K in Gd$_3$Ru$_4$Al$_{12}$, with a distorted kagome lattice of Gd ions, is studied using resonant X-ray diffraction with polarization analysis. It has been suggested that…

Strongly Correlated Electrons · Physics 2019-02-05 Takeshi Matsumura , Yusaku Ozono , Shintaro Nakamura , Noriyuki Kabeya , Akira Ochiai

$^{31}$P nuclear magnetic resonance (NMR) measurements have been carried out to investigate the magnetic properties and spin dynamics of Fe$^{3+}$ ($S$ = 5/2) spins in the two-dimensional triangular lattice (TL) compound…

Strongly Correlated Electrons · Physics 2022-11-23 Devi V. Ambika , Qing-Ping Ding , Sebin J. Sebastian , Ramesh Nath , Yuji Furukawa

We investigate the low temperature magnetic properties of a $S=\frac{5}{2}$ Heisenberg kagom\'e antiferromagnet, the layered monodiphosphate Li$_9$Fe$_3$(P$_2$O$_7$)$_3$(PO$_4$)$_2$, using magnetization measurements and $^{31}$P nuclear…

Strongly Correlated Electrons · Physics 2021-10-08 E. Kermarrec , R. Kumar , G. Bernard , R. Hénaff , P. Mendels , F. Bert , P. L. Paulose , B. K. Hazra , B. Koteswararao

For temperatures T well above the ordering temperature T*=3.0+-0.2K the magnetic properties of the metal-organic material Mn[C10H6(OH)(COO)]2x2H20 built from Mn^2+ ions and 3-hydroxy-2-naphthoic anions can be described by a S=5/2 quantum…

The Kagome lattice is a 2D network of corner sharing triangles found in several rare earth materials resulting in a complicated and often frustrated magnetic system. In the last decades, modifications of the motif, such as breathing Kagome,…

Strongly Correlated Electrons · Physics 2026-03-10 Gunnar F. Schwertfeger , Po-Hao Chang , Predrag Nikolic , Igor I. Mazin

High-resolution synchrotron x-ray diffraction measurements were performed on single crystalline and powder samples of BiMn2O5. A linear temperature dependence of the unit cell volume was found between T_{N}=38$ K and 100 K, suggesting that…

Materials Science · Physics 2009-11-13 E. Granado , M. S. Eleoterio , A. F. Garcia-Flores , J. A. Souza , E. I. Golovenchits , V. A. Sanina

The magnetization process of an S=1/2 antiferromagnet on the kagome lattice, [Cu_3(titmb)_2(OCOCH_3)_6]H_2O {titmb= 1,3,5-tris(imidazol-1-ylmethyl)-2,4,6 trimethylbenzene} has been measured at very low temperatures in both pulsed and steady…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Narumi , K. Katsumata , Z. Honda , J. -C. Domenge , P. Sindzingre , C. Lhuillier , Y. Shimaoka , T. C. Kobayashi , K. Kindo

Recent experiments on the "hyper-kagome" lattice system Na$_4$Ir$_3$O$_8$ have demonstrated that it is a rare example of a three dimensional spin-1/2 frustrated antiferromagnet. We investigate the role of quantum fluctuations as the primary…

Strongly Correlated Electrons · Physics 2009-11-13 Michael J. Lawler , Hae-Young Kee , Yong Baek Kim , Ashvin Vishwanath

Kagome metals gain attention as they manifest a spectrum of quantum phenomena, including superconductivity, charge order, frustrated magnetism, and intertwined correlated states of condensed matter. With regard to electronic band structure,…

Strongly Correlated Electrons · Physics 2024-02-16 P. Das , P. Saha , M. Singh , P. Kumar , S. Patnaik

We derive exact results for close-packed dimers on the triangular kagome lattice (TKL), formed by inserting triangles into the triangles of the kagome lattice. Because the TKL is a non-bipartite lattice, dimer-dimer correlations are…

Statistical Mechanics · Physics 2008-12-11 Yen Lee Loh , Dao-Xin Yao , Erica W. Carlson
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