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Frustrated magnetic compounds, in particular low-dimensional, are topical research due to persistent uncover of novel nontrivial quantum states and potential applications. The problem of this field is that many important results are…

Disordered Systems and Neural Networks · Physics 2019-08-22 V. E. Valiulin , A. V. Mikheyenkov , N. M. Chtchelkatchev , A. F. Barabanov

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

We discuss the ground state and the low-lying excitations of the spin-half Heisenberg antiferromagnet on the two-dimensional square-kagome lattice. This magnetic system belongs to the class of highly frustrated spin systems with an infinite…

Strongly Correlated Electrons · Physics 2007-05-23 J. Richter , J. Schulenburg , P. Tomczak , D. Schmalfuß

We study a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{3}$--$J_{1}^{\perp}$ Heisenberg antiferromagnet on an $AA$-stacked bilayer honeycomb lattice. In each layer we consider nearest-neighbor (NN), next-nearest-neighbor, and…

Strongly Correlated Electrons · Physics 2017-12-20 R. F. Bishop , P. H. Y. Li

We present the phase diagram in a magnetic field of a 2D isotropic Heisenberg antiferromagnet on a triangular lattice. We consider spin-$S$ model with nearest-neighbor ($J_1$) and next-nearest-neighbor ($J_2$) interactions. We focus on the…

Strongly Correlated Electrons · Physics 2017-10-25 Mengxing Ye , Andrey V. Chubukov

Using the infinite Projected Entangled Pair States (iPEPS) algorithm, we study the ground-state properties of the spin-$1/2$ quantum Heisenberg antiferromagnet on the star lattice in the thermodynamic limit. By analyzing the ground-state…

Strongly Correlated Electrons · Physics 2018-10-11 Saeed S. Jahromi , Roman Orus

We have performed a numerical investigation of the ground state properties of the frustrated quantum Heisenberg antiferromagnet on the square lattice (``$J_1-J_2$ model''), using exact diagonalization of finite clusters with 16, 20, 32, and…

Condensed Matter · Physics 2009-10-22 H. J. Schulz , T. A. L. Ziman , D. Poilblanc

Using exact numerical diagonalization and the conformal field theory approach, we study the effect of magnetic frustrations due to diagonal exchange bonds in a system of two coupled mixed-spin $(1,{1/2})$ Heisenberg chains. It is…

Strongly Correlated Electrons · Physics 2009-11-10 N. B. Ivanov , J. Richter

Motivated by its relation to an $\cal{NP}$-hard problem, we analyze the ground state properties of anti-ferromagnetic Ising-spin networks embedded on planar cubic lattices, under the action of homogeneous transverse and longitudinal…

Quantum Physics · Physics 2009-11-10 Cameron Wellard , Roman Orus

We study the ground state phase diagram of a frustrated spin-1/2 four-leg tube. Using a variety of complementary techniques, namely density matrix renormalization group, exact diagonalization, Schwinger boson mean field theory, quantum…

Strongly Correlated Electrons · Physics 2015-06-11 M. Arlego , W. Brenig , Y. Rahnavard , B. Willenberg , H. D. Rosales , G. Rossini

Using a loop-cluster algorithm we investigate the spin 1/2 Heisenberg antiferromagnet on a square lattice with exchange coupling $J$ and an additional four-spin interaction of strength $Q$. We confirm the existence of a phase transition…

Strongly Correlated Electrons · Physics 2009-11-13 F. -J. Jiang , M. Nyfeler , S. Chandrasekharan , U. -J. Wiese

In frustrated magnetic systems, the competition amongst interactions can introduce extremely high degeneracy and prevent the system from readily selecting a unique ground state. In such cases, the magnetic order is often exquisitely…

We implement the coupled cluster method to very high orders of approximation to study the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ Heisenberg model on a cross-striped square lattice. Every nearest-neighbour pair of sites on the square lattice…

Strongly Correlated Electrons · Physics 2017-11-13 P. H. Y. Li , R. F. Bishop

We study the zero-temperature phase diagram of a square-lattice $S=1/2$ Heisenberg antiferromagnet with two types of regularly distributed nearest-neighbor exchange constants, $J_1>0$ (antiferromagnetic) and $-\infty < J_2 < \infty $, using…

Condensed Matter · Physics 2009-10-28 N. B. Ivanov , S. E. Krüger , J. Richter

The (three-dimensional) pyrochlore lattice antiferromagnet with Heisenberg spins of large spin length $S$ is a highly frustrated model with an macroscopic degeneracy of classical ground states. The zero-point energy of (harmonic order) spin…

Strongly Correlated Electrons · Physics 2009-11-11 Christopher L. Henley

Recently, several putative quantum spin liquid (QSL) states were discovered in ${\tilde S} = 1/2$ rare-earth based triangular-lattice antiferromagnets (TLAF) with the delafossite structure. A way to clarify the origin of the QSL state in…

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

Strongly Correlated Electrons · Physics 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

Experimental quest for the hypothetical "quantum spin liquid" state has recently met a few promising candidate materials including organic salts \kappa-(ET)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2, S=1/2 triangular-lattice Heisenberg…

Strongly Correlated Electrons · Physics 2015-06-17 Ken Watanabe , Hikaru Kawamura , Hiroki Nakano , Toru Sakai

The possible existence of a quantum spin liquid (QSL) phase, an exotic state of matter with long-range quantum entanglement and fractionalized excitations, in $\alpha$-RuCl$_3$ has sparked widespread interests in exploring QSLs in various…

Strongly Correlated Electrons · Physics 2023-04-04 Shun-Yao Yu , Han Li , Qi-Rong Zhao , Yuan Gao , Xiao-Yu Dong , Zheng-Xin Liu , Wei Li , Shou-Shu Gong

In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can…

Statistical Mechanics · Physics 2007-09-25 Shu Tanaka , Seiji Miyashita
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