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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

Derivation of a reduced effective model allows for a unified treatment and discussion of the $J_1$-$J_2$ Heisenberg model on a triangular and kagome lattice. Calculating thermodynamic quantities, i.e. the entropy $s(T)$ and uniform…

Strongly Correlated Electrons · Physics 2020-02-07 Peter Prelovsek , Jure Kokalj

While the existence of a spin-liquid ground state of the spin-1/2 kagome Heisenberg antiferromagnet (KHAF) is well established, the discussion of the effect of an interlayer coupling (ILC) by controlled theoretical approaches is still…

Strongly Correlated Electrons · Physics 2016-08-03 Oliver Götze , Johannes Richter

The antiferromagnetic Heisenberg model with easy-axis exchange anisotropy on the Kagome lattice is studied by means of Monte Carlo simulations. From equilibrium properties, we find that the values of the critical exponents associated with…

Statistical Mechanics · Physics 2009-11-07 S. Bekhechi , B. W. Southern

A simple spin-$1/2$ frustrated antiferromagnetic Heisenberg model (AFHM) on the square lattice - including chiral plaquette cyclic terms - was argued [Anne E.B. Nielsen, German Sierra and J. Ignacio Cirac, Nature Communications $\bf 4$,…

Strongly Correlated Electrons · Physics 2017-10-04 Didier Poilblanc

Kalmeyer-Laughlin (KL) chiral spin liquid (CSL) is a type of quantum spin liquid without time-reversal symmetry, and it is considered as the parent state of an exotic type of superconductivity--anyon superconductor. Such exotic state has…

Strongly Correlated Electrons · Physics 2014-04-23 Yin-Chen He , D. N. Sheng , Yan Chen

The topological quantum spin liquids (SL) and the nature of quantum phase transitions between them have attracted intensive attentions for the past twenty years. The extended kagome spin-1/2 antiferromagnet emerges as the primary candidate…

Strongly Correlated Electrons · Physics 2015-08-05 W. Zhu , S. S. Gong , D. N. Sheng

Kagome-lattice materials have attracted tremendous interest due to the broad prospect for seeking superconductivity, quantum spin liquid states, and topological electronic structures. Among them, the transition-metal kagome lattices are…

Strongly Correlated Electrons · Physics 2023-01-02 Tao Xie , Qiangwei Yin , Qi Wang , A. I. Kolesnikov , G. E. Granroth , D. L. Abernathy , Dongliang Gong , Zhiping Yin , Hechang Lei , A. Podlesnyak

Quantum spin liquids (QSLs) represent an exotic quantum many-body state characterized by the suppression of long-range magnetic order due to strong quantum fluctuations. The kagome spin-1/2 antiferromagnet (AFM) is a prime candidate for…

Strongly Correlated Electrons · Physics 2024-07-24 S. Suetsugu , T. Asaba , S. Ikemori , Y. Sekino , Y. Kasahara , K. Totsuka , B. Li , Y. Zhao , Y. Li , Y. Kohama , Y. Matsuda

We have performed large scale variational search for the best RVB ansatz for the spin-$\frac{1}{2}$ kagome antiferromagnet with both nearest-neighboring(NN) and next-nearest-neighboring(NNN) exchanges assuming only translational symmetry.…

Strongly Correlated Electrons · Physics 2016-01-12 Tao Li

We analyse the antiferromagnetic spin-$1/2$ XXZ model on the kagome lattice at finite external magnetic field with the help of a nonperturbative zero-temperature renormalization group (RG) technique. Following the work of Kumar \emph{et al}…

Strongly Correlated Electrons · Physics 2019-09-30 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

We find that the best RVB state of the spin-$\frac{1}{2}$ Kagome antiferromagnetic Heisenberg model(spin-$\frac{1}{2}$ KAFH) is described by a $Z_{2}$ gapped mean field ansatz, which hosts a mean field spinon dispersion very different from…

Strongly Correlated Electrons · Physics 2020-11-11 Chun Zhang , Tao Li

We investigate the ground-state and finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a honeycomb lattice with frustrated nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by the…

Strongly Correlated Electrons · Physics 2018-10-24 Kazuki Uematsu , Hikaru Kawamura

Geometric frustration of magnetic ions can lead to a quantum spin liquid ground state where long range magnetic order is avoided despite strong exchange interactions. The physical realization of quantum spin liquids comprises a major…

Strongly Correlated Electrons · Physics 2023-06-07 Alex Hallett , Catalina Avarvarei , John W. Harter

We investigate the origin of the 1/3 magnetization plateau in the $S=1/2$ kagome antiferromagnetic Heisenberg model using the variational Monte Carlo and exact diagonalization methods, to account for the recent experimental observations in…

Strongly Correlated Electrons · Physics 2025-09-23 Li-Wei He , Xinzhe Wang , Shun-Li Yu , Jian-Xin Li

The low-temperature fate of the spin-liquid regime in the classical kagome Heisenberg antiferromagnet has been debated for over three decades. Using an expansion in the number of spin components, we show that, contrary to earlier Monte…

Strongly Correlated Electrons · Physics 2026-05-27 Cecilie Glittum , Olav F. Syljuåsen

The spin-1/2 $J_1$-$J_2$ Heisenberg model on square lattices are investigated via the finite projected entangled pair states (PEPS) method. Using the recently developed gradient optimization method combining with Monte Carlo sampling…

Strongly Correlated Electrons · Physics 2018-12-26 Wen-Yuan Liu , Shaojun Dong , Chao Wang , Yongjian Han , Hong An , Guang-Can Guo , Lixin He

Motivated by the search for chiral spin liquids (CSL), we consider a simple model defined on the kagome lattice of interacting SU(3) spins (in the fundamental representation) including two-site and three-site permutations between nearest…

Quantum spin liquid (QSL) is a novel state of matter with exotic excitations and was theoretically predicted to be realized most possibly in an S=1/2 kagome antiferromagnet. Experimentally searching for the candidate materials is a big…

Strongly Correlated Electrons · Physics 2014-09-15 Yuesheng Li , Bingying Pan , Shiyan Li , Wei Tong , Langsheng Ling , Zhaorong Yang , Junfeng Wang , Zhongjun Chen , Zhonghua Wu , Qingming Zhang

A promising route to realize entangled magnetic states combines geometrical frustration with quantum-tunneling effects. Spin-ice materials are canonical examples of frustration, and Ising spins in a transverse magnetic field are the…

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