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We propose a scheme to realize a frustrated Bose-Hubbard model with ultracold atoms in an optical lattice that comprises the frustrated spin-1/2 quantum XX model. Our approach is based on a square ladder of magnetic flux close to $\pi$ with…

Quantum Gases · Physics 2023-11-01 Luca Barbiero , Josep Cabedo , Maciej Lewenstein , Leticia Tarruell , Alessio Celi

The study of magnetic frustration in classical spin systems was motivated by the prediction and discovery of classical spin liquid states. These uncommon magnetic phases are characterized by a massive degeneracy of their ground state…

We present a model describing the lattice distortion and incommensurate magnetic order in the spinel CdCr2O4, a good realization of the Heisenberg "pyrochlore" antiferromagnet. The magnetic frustration is relieved through the spin-Peierls…

Strongly Correlated Electrons · Physics 2007-05-23 Gia-Wei Chern , C. J. Fennie , O. Tchernyshyov

We explore the magnetic phases in a Kondo lattice model on the geometrically frustrated Shastry-Sutherland lattice at metallic electron densities, searching for noncollinear and noncoplanar spin textures. Motivated by experimental…

Strongly Correlated Electrons · Physics 2017-12-05 Munir Shahzad , Pinaki Sengupta

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…

The magnetic ground state of geometrically frustrated antiferromagnet attracts great research interests due to the possibility to realize novel quantum magnetic state such as a quantum spin liquid. Here we present a comprehensive magnetic…

Strongly Correlated Electrons · Physics 2025-06-09 Feihao Pan , Nan Zhao , Songnan Sun , Chenglin Shang , Peng Cheng , Jieming Sheng , Liusuo Wu

Ag2MnO2 is studied as a possible candidate compound for an antiferromagnetic XY spin model on a triangular lattice. In spite of the large Curie-Weiss temperature of -430 K found in magnetic susceptibi-lity, Mn3+ spins with S = 2 do not…

Strongly Correlated Electrons · Physics 2009-11-13 Hiroyuki Yoshida , Sascha Ahlert , Martin Jansen , Yoshihiko Okamoto , Jun-Ichi Yamaura , Zenji Hiroi

We find that ground states of the quantum Heisenberg antiferromagnet on the geometrically frustrated pyrochlore checkerboard lattice are singlets and can be expressed in terms of positive matrices. The magnetization at zero external field…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Peter Schupp

A non-technical introduction to the theory of magnets with strong geometric frustration is given, concentrating on magnets on corner-sharing (kagome, pyrochlore, SCGO and GGG) lattices. Their rich behaviour is traced back to a large…

Statistical Mechanics · Physics 2009-10-31 R. Moessner

We study the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice in the limit of strong easy-axis exchange anisotropy. We find, using only standard techniques of degenerate perturbation theory, that the model has a U(1) gauge…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Hermele , Matthew P. A. Fisher , Leon Balents

We study the magnetic properties of CaFeTi$_2$O$_6$ (CFTO) by high-field magnetization and specific heat measurements. While the magnetic susceptibility data yield a vanishingly small Curie-Weiss temperature, the magnetic moments are not…

Strongly Correlated Electrons · Physics 2021-05-11 Di Liu , Si Wu , Xuanyu Long , Yao Wang , Hai-Feng Li , Ming Yang , Junfeng Wang , Zheng Liu , Xiang Li , Yuan Wan , Shiliang Li

The model 2d kagome system (H3O)Fe3(SO4)2(OH)6 and the 3d pyrochlore Y2Mo2O7 are two well characterized examples of low-disordered frustrated antiferromagnets which rather then condensing into spin liquid have been found to undergo a…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Dupuis , E. Vincent , J. Hammann , J. E. Greedan , A. S. Wills

Geometrically frustrated magnets provide abundant opportunities for discovering complex spin textures, which sometimes yield unconventional electromagnetic responses in correlated electron systems. It is theoretically predicted that…

We analyzed the magnetic susceptibilities of several Cr spinels using two recent models for the geometrically frustrated pyrochlore lattice, the Quantum Tetrahedral Mean Field model and a Generalized Constant Coupling model. Both models can…

Strongly Correlated Electrons · Physics 2010-03-01 Ch. Kant , J. Deisenhofer , V. Tsurkan , A. Loidl

We report high resolution neutron scattering measurements on the triangular lattice Mott insulator Na$_x$CrO$_2$ ($x$=1) which has recently been shown to exhibit an unusually broad fluctuating crossover regime extending far below the onset…

Strongly Correlated Electrons · Physics 2014-05-26 D. Hsieh , D. Qian , R. F. Berger , C. Liu , B. Ueland , P. Schiffer , Q. Huang , R. J. Cava , J. W. Lynn , M. Z. Hasan

Reentrant spin glasses are frustrated disordered ferromagnets developing vortex-like textures under an applied magnetic field. Our study of a Ni$_{0.81}$Mn$_{0.19}$ single crystal by small angle neutron scattering clarifies their internal…

Strongly Correlated Electrons · Physics 2018-07-24 I. Mirebeau , N. Martin , M. Deutsch , L. J. Bannenberg , C. Pappas , G. Chaboussant , R. Cubitt , C. Decorse , A. O. Leonov

The intermetallic compound Nd$_2$Co$_{0.85}$Si$_{2.88}$ having a triangular lattice could be synthesized in single-phase only with defect crystal structure. Investigation through different experimental techniques indicate the presence of…

We show that pharmacosiderite is a novel cluster antiferromagnet comprising frustrated regular tetrahedra made of spin-5/2 Fe3+ ions that are arranged in the primitive cubic lattice. The connectivity of the tetrahedra and the inter-cluster…

Strongly Correlated Electrons · Physics 2018-08-08 Ryutaro Okuma , Takeshi Yajima , Tatsuo Fujii , Mikio Takano , Zenji Hiroi

We use a semiclassical large-$S$ expansion to study a plateau at $1/3$ saturation in the magnetization curve of a frustrated ferrimagnet on a spatially anisotropic kagom\'{e} lattice. The spins have both ferromagnetic and antiferromagnetic…

Strongly Correlated Electrons · Physics 2017-03-17 Edward Parker , Leon Balents

CeFe$_2$ is a geometrically frustrated ferromagnet that lies close to an instability at which a subtle change in the lattice symmetry couples to a transition to antiferromagnetism. We use x-ray diffraction, diamond-anvil-cell techniques,…

Strongly Correlated Electrons · Physics 2012-08-07 Jiyang Wang , Yejun Feng , R. Jaramillo , Jasper van Wezel , P. C. Canfield , T. F. Rosenbaum
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