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The cradle of quantum spin liquids, triangular antiferromagnets show strong proclivity to magnetic order and require deliberate tuning to stabilize a spin-liquid state. In this brief review, we juxtapose recent theoretical developments that…

Strongly Correlated Electrons · Physics 2020-03-13 Yuesheng Li , Philipp Gegenwart , Alexander A. Tsirlin

Minimizing the energy of a many body system tends to favor order, but classical frustration and quantum fluctuations destabilize that order. The tension between these effects can produce exotic quantum states of matter. Quantum spin liquid…

Strongly Correlated Electrons · Physics 2026-03-17 Sandesh S. Kalantre , Johanna Nordlander , Margaret A. Anderson , Julia A. Mundy , David Goldhaber-Gordon

We report the structural transformation of hexagonal Ba3YIr2O9 to a cubic double perovskite form (stable in ambient conditions) under an applied pressure of 8GPa at 1273K. While the ambient pressure (AP) synthesized sample undergoes…

Strongly Correlated Electrons · Physics 2013-10-28 Tusharkanti Dey , A. V. Mahajan , R. Kumar , B. Koteswararao , F. C. Chou , A. A. Omrani , H. M. Ronnow

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the nearest-neighbor $J_1 > 0$, the next-nearest-neighobr $J_2 > 0$ Heisenberg interactions, and the additional scalar chiral interaction $J_{\chi}(\vec{S}_i \times…

Strongly Correlated Electrons · Physics 2017-08-16 Shou-Shu Gong , W. Zhu , J. -X. Zhu , D. N. Sheng , Kun Yang

By including a material-relevant off-diagonal interaction called the $\Gamma$ term into the Kitaev model and introducing spatial anisotropy in the interaction strength on the honeycomb lattice, we obtain a series of nodal Z$_2$ quantum spin…

Strongly Correlated Electrons · Physics 2020-09-15 Jiucai Wang , Zheng-Xin Liu

Na4Ir3O8 is a unique case of a hyperkagome 3D corner sharing triangular lattice which can be decorated with quantum spins. It has spurred a lot of theoretical interest as a spin liquid candidate. We present a comprehensive set of NMR data…

Strongly Correlated Electrons · Physics 2015-07-29 A. C. Shockley , F. Bert , J-C Orain , Y. Okamoto , P. Mendels

We study an exactly solvable quantum spin model of Kitaev type on the kagome lattice. We find a rich phase diagram which includes a topological (gapped) chiral spin liquid with gapless chiral edge states, and a gapless chiral spin liquid…

Strongly Correlated Electrons · Physics 2015-03-17 Victor Chua , Hong Yao , Gregory A. Fiete

The quantum spin liquid (QSL) state is an exotic state of matter featuring a high degree of entanglement and lack of long-range magnetic order in the zero-temperature limit. The triangular antiferromagnet YbMgGaO4 is a candidate QSL host,…

The delafossite family of compounds with a triangular lattice of rare earth ions has been recently proposed as a candidate host for quantum spin liquid (QSL) states. To realize QSLs, the crystal-electric-field (CEF) ground state of the rare…

Strongly Correlated Electrons · Physics 2020-07-20 Shang Gao , Fan Xiao , Kazuya Kamazawa , Kazuhiko Ikeuchi , Daniel Biner , Karl Krämer , Christian Rüegg , Taka-hisa Arima

The quantum antiferromagnet on the pyrochlore lattice offers an archetypal frustrated system, which potentially realizes a quantum spin liquid characterized by the absence of standard spontaneous symmetry breaking even at zero temperature,…

Strongly Correlated Electrons · Physics 2023-11-21 Rico Pohle , Youhei Yamaji , Masatoshi Imada

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

We study the interplay of competing interactions in spin-$1/2$ triangular Heisenberg model through tuning the first- ($J_1$), second- ($J_2$), and third-neighbor ($J_3$) couplings. Based on large-scale density matrix renormalization group…

Strongly Correlated Electrons · Physics 2019-12-25 Shou-Shu Gong , Wayne Zheng , Mac Lee , Yuan-Ming Lu , D. N. Sheng

Identifying the elusive spinon excitations in quantum spin liquid (QSL) materials is what scientists have long sought for. Recently, thermal conductivity ($\kappa$) has emerged to be a decisive probe because the fermionic nature of spinons…

Strongly Correlated Electrons · Physics 2024-05-24 N. Li , A. Brassington , M. F. Shu , Y. Y. Wang , H. Liang , Q. J. Li , X. Zhao , P. J. Baker , H. Kikuchi , T. Masuda , G. Duan , C. Liu , H. Wang , W. Xie , R. Zhong , J. Ma , R. Yu , H. D. Zhou , X. F. Sun

We study the ground state and spin excitations in Ba3MnSb2O9, an easy-plane S = 5/2 triangular lattice antiferromagnet. By combining single-crystal neutron scattering, electric spin resonance (ESR), and spin wave calculations, we determine…

Previous investigations have suggested that the simplest spin-orbital model on the simplest frustrated lattice can host a nematic quantum spin-orbital liquid state. Namely, the orbital degeneracy of the SU(4) Kugel-Khomskii (KK) model tends…

Strongly Correlated Electrons · Physics 2023-11-09 Chun Zhang , Hui-Ke Jin , Yi Zhou

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies of numerous long…

Strongly Correlated Electrons · Physics 2012-07-20 Hong-Chen Jiang , Hong Yao , Leon Balents

We perform an exact diagonalization study of the spin-$1/2$ XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization $m = \frac{2}{3}$ with an emphasis on the XY point ($J_z = 0$), and in the presence of a small chiral…

Strongly Correlated Electrons · Physics 2016-10-18 Krishna Kumar , Hitesh J. Changlani , Bryan K. Clark , Eduardo Fradkin

Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized…

Strongly Correlated Electrons · Physics 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

We investigate the possibility of exotic phenomena, viz. quantum spin liquid (QSL) or deconfined quantum critical point (DQCP), in the spin-$\frac{1}{2}$ Heisenberg model on the maple-leaf lattice, a geometrically frustrated system formed…

Strongly Correlated Electrons · Physics 2024-01-18 Pratyay Ghosh

We report a $^{35}$Cl nuclear magnetic resonance study in the honeycomb lattice, $\alpha$-RuCl$_3$, a material that has been suggested to potentially realize a Kitaev quantum spin liquid (QSL) ground state. Our results provide direct…

Strongly Correlated Electrons · Physics 2017-07-26 S. -H. Baek , S. -H. Do , K. -Y. Choi , Y. S. Kwon , A. U. B. Wolter , S. Nishimoto , Jeroen van den Brink , B. Büchner
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