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Magnetic frustration in two-dimensional spin lattices with triangular motifs underpins a series of exotic states, ranging from multi-Q configurations to disordered spin-glasses. The antiferromagnetic kagome lattice, characterized by its…

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…

Geometric frustration is a broad phenomenon that results from an intrinsic incompatibility between some fundamental interactions and the underlying lattice geometry1-7. Geometric frustration gives rise to new fundamental phenomena and is…

Materials Science · Physics 2011-10-26 Narayani Choudhury , Laura Walizer , Sergey Lisenkov , L. Bellaiche

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

We study the frustration properties of the Ising model on a decorated triangular lattice with an arbitrary number of decorating spins on all lattice bonds in the framework of an exact analytical approach based on the Kramers--Wannier…

Statistical Mechanics · Physics 2023-09-20 F. A. Kassan-Ogly , A. V. Zarubin

Geometric frustration in quantum spin systems can lead to exotic ground states. In this study, we investigate the $\mathrm{SU}(3)$ spin model on the checkerboard lattice to explore the effects of frustration arising from its point-connected…

Strongly Correlated Electrons · Physics 2025-03-05 Junhao Zhang , Jie Hou , Jie Lou , Yan Chen

We present a novel hydrated layered manganate MgMn$_3$O$_7$$\cdot$3H$_2$O as a maple-leaf-lattice (MLL) antiferromagnet candidate. The MLL is obtained by regularly depleting 1/7 of the lattice points from a triangular lattice so that the…

Materials Science · Physics 2018-08-14 Yuya Haraguchi , Akira Matsuo , Koichi Kindo , Zenji Hiroi

Effects of geometrical frustration in low-dimensional charge ordering systems are theoretically studied, mainly focusing on dynamical properties. We treat extended Hubbard models at quarter-filling, where the frustration arises from…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Kenji Tsutui , Masao Ogata , Jaime Merino

We study the configuration of magnetic moments on triangular lattices of single-domain ferromagnetic islands, examining the consequences of magnetostatic interactions in this frustrated geometry. By varying the island-island distance along…

Materials Science · Physics 2009-11-13 Xianglin Ke , Jie Li , Sheng Zhang , Cristiano Nisoli , Vincent H. Crespi , Peter Schiffer

Geometric frustration in quantum magnetism refers to that magnetic interactions on different bonds cannot be simultaneously minimized. The usual Cooper pairing systems favor the uniform distribution of the pairing phase among lattice sites…

Superconductivity · Physics 2011-04-13 Hsiang-hsuan Hung , Wei-Cheng Lee , Congjun Wu

We study multilayer triangular lattice Ising antiferromagnets with interlayer interactions that are weak and frustrated in an abc stacking. By analysing a coupled height model description of these systems, we show that they exhibit a…

Statistical Mechanics · Physics 2016-01-05 F. J. Burnell , J. T. Chalker

We study the electronic and magnetic structures of the newly-discovered compound KCr$_3$As$_3$. The non-magnetic state has five Fermi surface sheets involving respectively three quasi-one-dimensional and two three-dimensional energy bands.…

Strongly Correlated Electrons · Physics 2016-01-20 Chao Cao , Hao Jiang , Xiao-Yong Feng , Jianhui Dai

Structural and magnetic properties of a two-dimensional spin-$\frac{5}{2}$ frustrated triangular lattice antiferromagnet NH$_{4}$Fe(PO$_{3}$F)$_2$ are explored via x-ray diffraction, magnetic susceptibility, high-field magnetization, heat…

Materials Science · Physics 2025-02-11 S. Mohanty , K. M. Ranjith , C. S. Saramgi , Y. Skourski , B. Büchner , H. -J. Grafe , R. Nath

The interplay between competing degrees of freedom can stabilize non-trivial magnetic states in correlated electron materials. Frustration-induced strong quantum fluctuations can evade long-range magnetic ordering leading to exotic quantum…

Strongly Correlated Electrons · Physics 2023-10-12 B. Sana , M. Barik , M. Pregelj , U. Jena , M. Baenitz , J. Sichelschmidt , K. Sethupathi , P. Khuntia

The mixed spin-(1/2, 3/2) Ising model on a decorated square lattice, which takes into account lattice vibrations of the spin-3/2 decorating magnetic ions at a quantum-mechanical level under the assumption of a perfect lattice rigidity of…

Statistical Mechanics · Physics 2020-07-06 Jozef Strecka , Onofre Rojas , Sergio Martins de Souza

The antiferromagnetic Ising model on a triangular lattice (AFIT) exemplifies the most classical frustration system, arising from its triangular geometry that prevents all interactions from being simultaneously satisfied. Understanding…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Ke Wang , Xing-Jian Liu , Li-Ming Tu , Jia-Jie Zhang , Vladimir N. Gladilin , Jun-Yi Ge

It is predicted that strongly interacting spins on a frustrated lattice may lead to a quantum disordered ground state or even form a quantum spin liquid with exotic low-energy excitations. However, a thorough tuning of the frustration…

Strongly Correlated Electrons · Physics 2024-01-08 Jierong Wang , Y. -S. Su , M. Spitaler , P. Puphal , C. Krellner , S. E. Brown , A. Pustogow

Patterning nanomagnets in three-dimensions presents a new paradigm in condensed matter physics and allows access to a plethora of fundamental phenomena including robust spin textures, magnetic metamaterials that are home to defects carrying…

Mesoscale and Nanoscale Physics · Physics 2018-12-07 Andrew May , Matthew Hunt , Arjen Van Den Berg , Alaa Hejazi , Sam Ladak

Polar molecules in geometrically frustrated lattices may result in a very rich landscape of quantum phases, due to the non-trivial interplay between frustration, and two- and possibly three-body inter-site interactions. In this paper, we…

Quantum Gases · Physics 2015-04-22 Tapan Mishra , Sebastian Greschner , Luis Santos

Magnetic frustration, the competition among exchange interactions, often leads to novel magnetic ground states with unique physical properties which can hinge on details of interactions that are otherwise difficult to observe. Such states…