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Related papers: Three-dimensional checkerboard spin structure on a…

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We show that a classical spin liquid phase can emerge from an ordered magnetic state in the two-dimensional frustrated Shastry-Sutherland Ising lattice due to lateral confinement. Two distinct classical spin liquid states are stabilized (i)…

Statistical Mechanics · Physics 2023-10-11 Pratik Brahma , Sayeef Salahuddin

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

Spin liquids are a paradigmatic example of a non-trivial state of matter, and the search for new spin liquids is a key direction of physics, chemistry, and materials science. Geometric frustration -- where the geometry of the net that the…

Strongly Correlated Electrons · Physics 2024-07-29 Joseph A. M. Paddison , Matthew J. Cliffe

Thermodynamic quantities and correlation functions (CFs) of the classical antiferromagnet on the checkerboard lattice are studied for the exactly solvable infinite-component spin-vector model, $D \to \infty$. In contrast to conventional…

Strongly Correlated Electrons · Physics 2009-11-07 Benjamin Canals , Dmitry Garanin

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

Strongly Correlated Electrons · Physics 2009-11-13 Karol Gregor , Olexei I. Motrunich

Spin liquids are highly correlated yet disordered states formed by the entanglement of magnetic dipoles$^1$. Theories typically define such states using gauge fields and deconfined quasiparticle excitations that emerge from a simple rule…

The collective behavior of interacting magnetic moments can be strongly influenced by the topology of the underlying lattice. In geometrically frustrated spin systems, interesting chiral correlations may develop that are related to the spin…

Strongly Correlated Electrons · Physics 2007-05-23 D. Grohol , K. Matan , J. H. Cho , S. -H. Lee , J. W. Lynn , D. G. Nocera , Y. S. Lee

The quantum Heisenberg model is studied in the geometrically frustrated body-centered tetragonal lattice(BCT lattice) with antiferromagnetic interlayer coupling J1 and intralayer first and second neighbor coupling J2 and J3. We introduce a…

Strongly Correlated Electrons · Physics 2016-10-26 Sébastien Burdin , Christopher Thomas , Catherine Pépin , Alvaro Ferraz , Claudine Lacroix

A unique type of frustrated lattice is found in two A-site ordered spinel oxides, LiGaCr4O8 and LiInCr4O8. Because of the large size mismatch between Li+ and Ga3+/In3+ ions at the A site, the pyrochlore lattice, made up of Cr3+ ions…

Materials Science · Physics 2015-06-12 Yoshihiko Okamoto , Gøran J. Nilsen , J. Paul Attfield , Zenji Hiroi

The chromium spinels MgCr2O4 and ZnCr2O4 are prime examples of the highly frustrated pyrochlore lattice antiferromagnet. Experiment has carefully established that both materials, upon cooling, distort to lower symmetry and order…

Strongly Correlated Electrons · Physics 2025-02-28 Ludovic D. C. Jaubert , Yasir Iqbal , Harald O. Jeschke

The glassy behavior observed in the pyrochlore magnet Y2Mo2O7, where the magnetic Mo^{4+} ions interact predominantly via isotropic nearest neighbor antiferromagnetic exchange, possibly with additional weak disorder, is a distinct class of…

Statistical Mechanics · Physics 2010-09-08 Ka-Ming Tam , Adam J. Hitchcock , Michel J. P. Gingras

We show that the honeycomb Heisenberg antiferromagnet with $J_1/2=J_2=J_3$, where $J_{1/2/3}$ are first-, second- and third-neighbour couplings respectively, forms a classical spin liquid with pinch-point singularities in the structure…

Strongly Correlated Electrons · Physics 2016-10-13 J. Rehn , Arnab Sen , Kedar Damle , R. Moessner

Quantum spin liquids are highly entangled magnetic states with exotic properties. The $S = 1/2$ square-lattice Heisenberg model is one of the foundational models in frustrated magnetism with a predicted, but never observed, quantum spin…

Effects of local lattice distortions on the spin ordering are investigated for the antiferromagnetic classical Heisenberg model on the pyrochlore lattice. It is found by Monte Carlo simulations that the spin-lattice coupling (SLC)…

Strongly Correlated Electrons · Physics 2016-07-19 Kazushi Aoyama , Hikaru Kawamura

We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold…

Strongly Correlated Electrons · Physics 2014-05-28 B. Normand , Z. Nussinov

The classical Heisenberg antiferromagnet on the pyrochlore lattice is macroscopically and continuously degenerate and the system remains disordered at all temperatures, even in the presence of weak dilution with nonmagnetic ions. We show…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Bellier-Castella , M. J. P. Gingras , P. C. W. Holdsworth , R. Moessner

A spinel related oxide, Na4Ir3O8, was found to have a three dimensional network of corner shared Ir4+ (t2g^5) triangles. This gives rise to an antiferromagnetically coupled S = 1/2 spin system formed on a geometrically frustrated…

Strongly Correlated Electrons · Physics 2009-11-13 Yoshihiko Okamoto , Minoru Nohara , Hiroko Aruga-Katori , Hidenori Takagi

We introduce a new classical spin liquid on the pyrochlore lattice by extending spin ice with further neighbour interactions. We find that this disorder free spin model exhibits a form of dynamical heterogeneity with extremely slow…

Statistical Mechanics · Physics 2016-08-01 Jeffrey G. Rau , Michel J. P. Gingras

In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

Strongly Correlated Electrons · Physics 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales

Recent excitement in the quantum spin ice community has come from the experimental discovery of pseudospin-$1/2$ breathing pyrochlores, including Ba$_3$Yb$_2$Zn$_5$O$_{11}$, in which inversion symmetry is broken by the `up' and `down'…

Strongly Correlated Electrons · Physics 2024-05-14 Alaric Sanders , Claudio Castelnovo