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KCuCl$_3$ is a three dimensionally coupled spin dimer system, which undergoes a pressure-induced quantum phase transition from a gapped ground state to an antiferromagnetic state at a critical pressure of $P_{\rm c} \simeq 8.2$ kbar.…

Strongly Correlated Electrons · Physics 2009-11-13 K. Goto , T. Osakabe , K. Kakurai , Y. Uwatoko , A. Oosawa , J. Kawakami , H. Tanaka

We report the magnetic ground state, spin excitations, and spin Hamiltonian of the 2D spin-1 trimerized Heisenberg antiferromagnet Li2Ni3P4O14. Below the magnetic ordering temperature TN = 14.5 K, the compound exhibits a canted long-range…

Strongly Correlated Electrons · Physics 2025-07-03 K. S. Chikara , A. K. Bera , A. Kumar , S. M. Yusuf , F. Orlandi , C. Balz

The Shastry-Sutherland model --- the $S=1/2$ Heisenberg antiferromagnet on the square lattice accompanied by orthogonal dimerized interactions --- is studied by the numerical-diagonalization method. Large-scale calculations provide results…

Strongly Correlated Electrons · Physics 2018-11-16 Hiroki Nakano , Toru Sakai

Motivated by the rapid experimental progress on the rare-earth Shastry-Sutherland lattice magnets, we propose a generic effective spin model that describes interacting non-Kramers local moments on the Shastry-Sutherland lattice. We point…

Strongly Correlated Electrons · Physics 2025-07-14 Guijing Duan , Rong Yu , Changle Liu

Since thermal fluctuations become more important as dimensions shrink, it is expected that low-dimensional magnets are more sensitive to lattice distortions and phonons than bulk systems are. Here we present a fully relativistic…

Materials Science · Physics 2022-04-06 Banasree Sadhukhan , Anders Bergman , Yaroslav O. Kvashnin , Johan Hellsvik , Anna Delin

The discovery of correlated insulating states in moir\'e heterostructures has renewed the interest in strongly-coupled electron systems where spin and valley (or layer) degrees of freedom are intertwined. In the strong-coupling limit, such…

Strongly Correlated Electrons · Physics 2023-07-10 Lasse Gresista , Dominik Kiese , Simon Trebst , Michael M. Scherer

The phase diagram of an antiferromagnetic ladder with frustrating next-nearest neighbor couplings along the legs is determined using numerical methods (exact diagonalization and density-matrix renormalization group) supplemented by…

Strongly Correlated Electrons · Physics 2011-10-11 Arthur Lavarélo , Guillaume Roux , Nicolas Laflorencie

We study the ground-state (gs) phase diagram of the frustrated spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ antiferromagnet with $J_{2} = J_{3} =\kappa J_1$ on the honeycomb lattice, using coupled-cluster theory and exact diagonalization methods. We…

Strongly Correlated Electrons · Physics 2011-07-11 D. J. J. Farnell , R. F. Bishop , P. H. Y. Li , J. Richter , C. E. Campbell

We present a multimethod investigation into the nature of the recently reported quantum spin liquid (QSL) phase in the spin-$1/2$ Heisenberg antiferromagnet on the Shastry-Sutherland lattice. A comprehensive projective symmetry group…

The zero-temperature phase diagrams of a two-dimensional frustrated quantum antiferromagnetic system, namely the Union Jack model, are studied using the coupled cluster method (CCM) for the two cases when the lattice spins have spin quantum…

Strongly Correlated Electrons · Physics 2011-06-07 R. F. Bishop , P. H. Y. Li

We report a method for determining the spatial dependence of the magnetic exchange coupling, $dJ/dr$, from magnetostriction measurements of a quantum magnet. The organic Ni $S = 1$ system NiCl$_2$-4SC(NH$_2$)$_2$ exhibits lattice…

The Heisenberg model on a face center cubic (fcc) lattice is a typical three-dimensional frustrated spin system expected to have magnetization plateaus and supersolid phases. There are model compounds $A_2$CoTeO$_6$ ($A$ = Ca, Sr, Pb) for…

Strongly Correlated Electrons · Physics 2019-04-24 Katsuhiro Morita , Takami Tohyama

In this article, we prove that exact representations of dimer and plaquette valence-bond ket ground states for quantum Heisenberg antiferromagnets may be formed via the usual coupled cluster method (CCM) from independent-spin product (e.g.…

Strongly Correlated Electrons · Physics 2009-08-11 D. J. J. Farnell , J. Richter , R. Zinke , R. F. Bishop

Motivated by recent developments on altermagnetism, we investigate the Hubbard model on the Shastry-Sutherland lattice, where the onsite repulsion between electrons induces the onset of a staggered magnetic order in which opposite magnetic…

Strongly Correlated Electrons · Physics 2024-11-21 Francesco Ferrari , Roser Valenti

Geometrical frustration in spin systems often results in a large number of degenerate ground states. In this work we study the antiferromagnetic Ising model on the three dimensional swedenborgite lattice which is a specific stacking of…

Strongly Correlated Electrons · Physics 2014-10-01 Stefan Buhrandt , Lars Fritz

Exploring the influence of frustration on the phases and related phase transitions in condensed matter physics is of fundamental importance in uncovering the role played by frustration. In the two-dimensional square lattice, a minimal…

Strongly Correlated Electrons · Physics 2024-04-26 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

We study the lattice-spin model of RbCoBr$_3$ which is proposed by Shirahata and Nakamura, by mean field approximation. This model is an Ising spin system on a distorted triangular lattice. There are two kinds of frustrated variables, that…

Other Condensed Matter · Physics 2009-09-29 Yoichi Nishiwaki , Norikazu Todoroki

The magnetization and specific heat measurements have been performed on single-crystalline Gd_3_Ru_4_Al_12_ with a distorted Kagome lattice structure. This spin system is regarded as an antiferromagnetic triangular lattice of XY like…

Strongly Correlated Electrons · Physics 2023-02-08 S. Nakamura , N. Kabeya , M. Kobayashi , K. Araki , K. Katoh , A. Ochiai

We investigate the magnetic ground state and phase transitions in the frustrated three-dimensional system CaMn2P2 using first-principles calculations combined with spin-dynamics simulations. Our DFT+U calculations reveal that CaMn2P2…

Strongly Correlated Electrons · Physics 2025-06-13 Bidyut Mallick , Sk. Soyeb Ali , S. K. Panda

The ground state properties and phase diagram of the bilayer square-lattice Heisenberg model are studied in a broad parameter space of intralayer exchange couplings, assuming an antiferromagnetic coupling between constituent layers. In the…

Strongly Correlated Electrons · Physics 2009-10-30 Yasuhiro Matsushita , Martin P. Gelfand , Chikara Ishii