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The Hubbard model on the Kagom\'e lattice is investigated in a metallic phase at half-filling. By introducing anisotropic electron hopping on the lattice, we control geometrical frustration and clarify how the lattice geometry affects…

Strongly Correlated Electrons · Physics 2009-11-10 Yoshiki Imai , Norio Kawakami , Hirokazu Tsunetsugu

Kondo metals with geometric frustration offer fertile ground for exploring exotic states of matter with a field-induced fractional magnetization platform and nonsaturating magnetoresistance. Herein, a Ce3ScBi5 single crystal with…

Strongly Correlated Electrons · Physics 2025-11-14 Zhongchen Xu , Yaxian Wang , Cuiwei Zhang , Hongxiong Liu , Xin Han , Liusuo Wu , Xianmin Zhang , Quansheng Wu , Youguo Shi

Magnetic frustration in metals is scarce and hard to pinpoint, but exciting due to the possibility of the emergence of fascinating novel phases. The cubic intermetallic compound HoInCu$_4$ with all holmium atoms on an fcc lattice, exhibits…

We predict and observed novel highly anisotropic magnetic patterns obtained in the model of frustrated planar interacting magnetic moments (the classical $X-Y$ model) on the regular kagome lattice. The frustration is provided by the…

Pattern Formation and Solitons · Physics 2020-10-28 A. Andreanov , M. V. Fistul

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…

Incommensurate magnetic order in the spin-3/2 antiferromagnet Na$_3$RuO$_4$ is uncovered by neutron diffraction combined with ab initio calculations. The crystal structure of Na$_3$RuO$_4$ contains two triangular motifs on different length…

Strongly Correlated Electrons · Physics 2023-10-23 Vera P. Bader , Clemens Ritter , Elias Papke , Philipp Gegenwart , Alexander A. Tsirlin

The interplay between Kondo effect, indirect magnetic interaction and geometrical frustration is studied in the Kondo lattice on the one-dimensional zigzag ladder. Using the density-matrix renormalization group (DMRG), the ground state and…

Strongly Correlated Electrons · Physics 2018-03-14 Matthias Peschke , Roman Rausch , Michael Potthoff

We explore the phase diagram and the low-energy physics of three Heisenberg antiferromagnets which, like the kagome lattice, are networks of corner-sharing triangles but contain two sets of inequivalent short-distance resonance loops. We…

Strongly Correlated Electrons · Physics 2013-11-07 I. Rousochatzakis , R. Moessner , J. van den Brink

Although magnetic frustration in metals provides a promising avenue for novel quantum phenomena, their microscopic interpretation is often challenging. Here we use the face-centered cubic intermetallic HoInCu$_4$ as model material to show…

Strongly Correlated Electrons · Physics 2025-07-28 X. Boraley , O. Stockert , J. Lass , R. Sibille , Ø. S. Fjellvåg , S. H. Moody , A. M. Läuchli , V. Fritsch , D. G. Mazzone

The magnetic properties of NaVO2 are investigated using full-potential linearized augmented plane wave method. We perform calculations for three structures. For the rhombohedral structure at 100 K, the t2g orbitals of V ions are split into…

Strongly Correlated Electrons · Physics 2015-05-13 Ting Jia , Guoren Zhang , Zhi Zeng , H. Q. Lin

The layered compound with distorted Kagome nets, Dy3Ru4Al12, was previously reported to undergo antiferromagnetic ordering below (TN=) 7 K, based on investigations on single crystals. Here, we report the results of our investigation of ac…

Strongly Correlated Electrons · Physics 2016-05-05 Venkatesh Chandragiri , Kartik K Iyer , E. V. Sampathkumaran

Motivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the classical antiferromagnet on a frustrated three-dimensional lattice obtained by selectively…

Statistical Mechanics · Physics 2007-07-27 John M. Hopkinson , Sergei V. Isakov , Hae-Young Kee , Yong Baek Kim

We examine the $S=1/2$ Heisenberg magnet on four three-dimensional lattices - simple-cubic, diamond, pyrochlore, and hyperkagome ones - for ferromagnetic and antiferromagnetic signs of the exchange interaction in order to illustrate the…

Strongly Correlated Electrons · Physics 2025-12-30 T. Krokhmalskii , T. Hutak , O. Derzhko

Geometrical frustration is a powerful route to realize exotic phases such as quantum spin liquids. Despite extensive efforts, systematic searches targeting specific frustration motifs and their potential to host unconventional magnetic…

Strongly Correlated Electrons · Physics 2026-03-16 Byeong-Hyeon Jeong , Hee Seung Kim , SungBin Lee , Myung Joon Han

We have searched nearly 40,000 inorganic solids in the Inorganic Crystal Structural Database to identify compounds containing a transition metal or rare earth kagom\'e sublattice, a geometrically magnetically frustrated lattice, ultimately…

Materials Science · Physics 2021-03-11 Vanessa Meschke , Prashun Gorai , Vladan Stevanović , Eric S. Toberer

The small-cluster exact-diagonalization calculations and the projector quantum Monte Carlo method are used to examine the competing effects of geometrical frustration and interaction on ferromagnetism in the Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-05-23 Pavol Farkasovsky

Geometrical frustration describes situations where interactions are incompatible with the lattice geometry and stabilizes exotic phases such as spin liquids. Whether geometrical frustration of magnetic interactions in metals can induce…

Strongly Correlated Electrons · Physics 2015-04-28 Y. Tokiwa , C. Stingl , M. S. Kim , T. Takabatake , P. Gegenwart

Results are reported for the $f$-electron intermetallic CeAuAl$_4$Ge$_2$, where the atomic arrangement of the cerium ions creates the conditions for geometric frustration. Despite this, magnetic susceptibility measurements reveal that the…

Materials Science · Physics 2017-10-04 S. Zhang , N. Aryal , K. Huang , K. -W. Chen , Y. Lai , D. Graf , T. Besara , T. Siegrist , E. Manousakis , R. E. Baumbach

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

Strongly Correlated Electrons · Physics 2015-05-19 A. Jagannathan

We consider the $S=1/2$ antiferromagnetic Heisenberg model on a frustrated kagome-lattice bilayer with strong nearest-neighbor interlayer coupling and examine its low-temperature magnetothermodynamics using a mapping onto a rhombi gas on…

Strongly Correlated Electrons · Physics 2025-07-03 Dmytro Yaremchuk , Taras Hutak , Vasyl Baliha , Taras Krokhmalskii , Oleg Derzhko , Jürgen Schnack , Johannes Richter