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Search for a new quantum state of matter emerging in a crystal is one of recent trends in condensed matter physics. For magnetic materials, geometrical frustration and high magnetic field are two key ingredients to realize it: a…

Strongly Correlated Electrons · Physics 2019-03-19 R. Okuma , D. Nakamura , T. Okubo , A. Miyake , A. Matsuo , K. Kindo , M. Tokunaga , N. Kawashima , S. Takeyama , Z. Hiroi

The three-dimensional (3D) magnet KBaFe$_2$(PO$_4$)$_3$ hosts a double-trillium lattice of Fe$^{3+}$ (spin, $S=5/2$) ions offering a prototypical platform to study the frustration induced effects in 3D. Through magnetization, specific heat,…

The standard approach to realize a spin liquid state is through magnetically frustrated states, relying on ingredients such as the lattice geometry, dimensionality, and magnetic interaction type of the spins. While Heisenberg spins on a…

Strongly Correlated Electrons · Physics 2025-04-10 Margarita G. Dronova , Vaclav Petricek , Zachary Morgan , Feng Ye , Daniel M. Silevitch , Yejun Feng

We present a model compound with a spin-1/2 spatially anisotropic frustrated square lattice, in which three antiferromagnetic interactions and one ferromagnetic interaction are competing. We observe an unconventional gradual increase in the…

Strongly Correlated Electrons · Physics 2021-06-24 H. Yamaguchi , Y. Iwasaki , Y. Kono , T. Okubo , S. Miyamoto , Y. Hosokoshi , A. Matsuo , T. Sakakibara , T. Kida , M. Hagiwara

We have studied the frustrated system YBaCo4O7 generally described as an alternating stacking of Kagome and triangular layers of magnetic ions on a trigonal lattice, by single crystal neutron diffraction experiments above the Neel ordering…

Materials Science · Physics 2011-06-30 P. Manuel , L. C. Chapon , P. G. Radaelli , H. Zheng , J. F. Mitchell

The kagome lattice -- a two-dimensional (2D) arrangement of corner-sharing triangles -- is at the forefront of the search for exotic states generated by magnetic frustration. Such states have been observed experimentally for Heisenberg and…

We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

Disordered Systems and Neural Networks · Physics 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer

The dynamics of a mobile hole in two-dimensional frustrated quantum magnets is investigated by exact diagonalization techniques. Our results provide evidence for spin-charge separation upon doping the kagome lattice, a prototype of a spin…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , D. Poilblanc

The recent synthesis of the chromium selenide compound LiCrSe$_2$ constitutes a valuable addition to the ensemble of two-dimensional triangular lattice antiferromagnets (2D-TLA). In this work we present the very first comprehensive study of…

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid $^3$He layers. It is found that a novel spin structure with scalar chiral order…

Condensed Matter · Physics 2009-10-30 Tsutomu Momoi , Kenn Kubo , Koji Niki

Spin-frustrated systems are one avenue for inducing macroscopic quantum states in materials. However, experimental realization of this goal has been difficult because of the lack of simple materials and, if available, the separation of the…

Strongly Correlated Electrons · Physics 2010-04-07 S. Chu , T. M. McQueen , R. Chisnell , D. E. Freedman , P. Müller , Y. S. Lee , D. G. Nocera

Frustrated lattices1-3, characterized by minor breakdown in local order in an otherwise periodic lattice, lead to simultaneous possibilities of several ground states which can trigger unique physical properties, in condensed matter systems.…

Mesoscale and Nanoscale Physics · Physics 2014-04-07 Satyendra Prakash Pal , P. Sen

The two-dimensional kagome lattice is a paradigmatic platform for exploring geometrically frustrated magnetism. While the nearest-neighbor ferromagnetic Ising model on this lattice is theoretically trivial, competing further-neighbor…

Strongly Correlated Electrons · Physics 2026-05-26 Yixin Guan , Kan Zhao , Nvsen Ma

We study the nearest neighbor $XXZ$ Heisenberg quantum antiferromagnet on the kagome lattice. Here we consider the effects of several perturbations: a) a chirality term, b) a Dzyaloshinski-Moriya term, and c) a ring-exchange type term on…

Strongly Correlated Electrons · Physics 2015-10-02 Krishna Kumar , Kai Sun , Eduardo Fradkin

When magnetic order is suppressed by frustrated interactions, spins form a highly correlated fluctuating "spin liquid" state down to low temperatures. Magnetic order of local moments can also be suppressed when they are fully screened by…

Strongly Correlated Electrons · Physics 2014-03-25 Y. Tokiwa , J. J. Ishikawa , S. Nakatsuji , P. Gegenwart

We report results from spin trimer-based cluster quantum Monte Carlo simulations for the thermodynamic properties of two-dimensional frustrated quantum antiferromagnets that are composed of weakly-coupled three-spin (trimer) clusters. In…

Strongly Correlated Electrons · Physics 2022-08-31 Lukas Weber , Nils Caci , Stefan Wessel

We examine instabilities of the plateau phases in the spin-1/2 kagome-lattice antiferromagnet in an applied field by means of degenerate perturbation theory, and find some emergent supersolid phases below the $m=5/9$ plateau. The wave…

Strongly Correlated Electrons · Physics 2018-07-23 Xavier Plat , Tsutomu Momoi , Chisa Hotta

Geometrical frustration is a central challenge in contemporary condensed matter physics, a crucible favourable to the emergence of novel physics. The pyrochlore magnets, with rare earth magnetic moments localized at the vertices of…

Strongly Correlated Electrons · Physics 2015-05-30 Sylvain Petit , Pierre Bonville , Isabelle Mirebeau , Hannu Mutka , Julien Robert

We propose a scheme to investigate the effect of frustration on the magnetic phase transitions of cold atoms confined in an optical lattice. We also demonstrate how to get two-leg spin ladders with frustrated spin-exchange coupling which…

Quantum Gases · Physics 2010-07-20 François Crépin , Roberta Citro , Pascal Simon

Using synchrotron X-rays and neutron diffraction we disentangle spin-lattice order in highly frustrated ZnCr$_2$O$_4$ where magnetic chromium ions occupy the vertices of regular tetrahedra. Upon cooling below 12.5 K the quandary of…

Strongly Correlated Electrons · Physics 2009-05-14 S. Ji , S. -H. Lee , C. Broholm , T. Y. Koo , W. Ratcliff , S-W. Cheong , P. Zschack