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Quantum spin liquids (QSLs) form an extremely unusual magnetic state in which the spins are highly correlated and fluctuate coherently down to the lowest temperatures, but without symmetry breaking and without the formation of any static…

A quantum spin liquid (QSL) is an exotic state in which electron spins are highly entangled, yet keep fluctuating even at zero temperature. Experimental realization of model QSLs has been challenging due to imperfections, such as antisite…

Strongly Correlated Electrons · Physics 2022-10-25 Huanpeng Bu , Malik Ashtar , Toni Shiroka , Helen C. Walker , Zhendong Fu , Jinkui Zhao , Jason S. Gardner , Gang Chen , Zhaoming Tian , Hanjie Guo

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

We present a detailed magnetic study of the triangular antiferromagnet ErMgGaO$_4$. A point charge calculation under the single ion approximation reveals a crystal field ground state doublet with a strong Ising-like behavior of the…

Strongly Correlated Electrons · Physics 2020-04-08 Y. Cai , C. Lygouras , G. Thomas , M. N. Wilson , J. Beare , D. R. Yahne , K. Ross , Z. Gong , Y. J. Uemura , H. A. Dabkowska , G. M. Luke

Our studies evidence an anisotropic magnetic order below $T_N = 32$~K. Susceptibility data in small fields of about 1~T reveal an antiferromagnetic (AFM) order for $H \perp c$, whereas for $H \parallel c$ the data are reminiscent of a…

We study the low-temperature behaviour of the classical Heisenberg antiferromagnet with nearest neighbour interactions on the pyrochlore lattice. Because of geometrical frustration, the ground state of this model has an extensive number of…

Statistical Mechanics · Physics 2009-10-30 R. Moessner , J. T. Chalker

We use spin wave theory to investigate the ground state properties of the $Z_2$-invariant quantum XXZ model on the triangular lattice in the ferromagnetic phase. The Hamiltonian comprises nearest and next-nearest-neighbour Ising couplings,…

Strongly Correlated Electrons · Physics 2016-04-06 S. A. Owerre

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

We present the results of muon-spin relaxation measurements on the triangular lattice Heisenberg antiferromagnet $\alpha$-KCrO$_{2}$. We observe sharp changes in behaviour at an ordering temperature of $T_{\mathrm{c}}=23$ K, with an…

Strongly Correlated Electrons · Physics 2014-06-12 F. Xiao , T. Lancaster , P. J. Baker , F. L. Pratt , S. J. Blundell , J. S. Möller , N. Z. Ali , M. Jansen

We report 7Li NMR, magnetic susceptibility, and heat capacity measurements on the triangular lattice Heisenberg antiferromagnet compound LiCrO2. We find that in contrast to NaCrO2, magnetic properties of LiCrO2 have a more pronounced three…

Strongly Correlated Electrons · Physics 2007-05-23 L. K. Alexander , N. Buettgen , R. Nath , A. V. Mahajan , A. Loidl

Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have two values $0<J' \ll J$. The ground state…

Strongly Correlated Electrons · Physics 2017-02-16 Hirokazu Tsunetsugu

The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

The subtle interplay between competing degrees of freedom, crystal electric fields, and spin correlations can lead to exotic quantum states in 4f ion-based frustrated triangular lattice antiferromagnets. We present the crystal structure,…

Strongly Correlated Electrons · Physics 2026-03-17 M. Barik , J. Khatua , Suyoung Kim , Eundeok Mun , Suheon Lee , Bassam Hitti , Gerald D. Morris , Kwang-Yong Choi , P. Khuntia

Spin nematic order is investigated for a S=1 spin model on triangular lattice with bilinear-biquadratic interactions. We particularly studied an antiferro nematic order phase with three-sublattice structure, and magnetic properties are…

Strongly Correlated Electrons · Physics 2007-05-23 Hirokazu Tsunetsugu , Mitsuhiro Arikawa

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

We apply the coupled cluster method to high orders of approximation and exact diagonalizations to study the ground-state properties of the triangular-lattice spin-$s$ Heisenberg antiferromagnet. We calculate the fundamental ground-state…

Strongly Correlated Electrons · Physics 2015-09-08 O. Götze , J. Richter , R. Zinke , D. J. J. Farnell

Here, we report both ac and dc magnetization, thermodynamic and electric properties of hexagonal Ba$_3$NiIr$_2$O$_9$. The Ni$^{2+}$ (spin-1) forms layered triangular-lattice and interacts antiferromagnetically while Ir$^{5+}$ is believed to…

Strongly Correlated Electrons · Physics 2021-07-14 Shobha Gondh , Manju Mishra Patidar , Kranti Kumar , M. P. Saravanan , V. Ganesan , A. K. Pramanik

In the quest for quantum spin liquids in three spatial dimensions (3D), we study the half-filled Hubbard model on the simple cubic lattice with hopping processes up to third neighbors. Employing the variational cluster approach (VCA), we…

Strongly Correlated Electrons · Physics 2016-02-17 Manuel Laubach , Darshan G. Joshi , Johannes Reuther , Ronny Thomale , Matthias Vojta , Stephan Rachel

We report a comprehensive experimental investigation of the structural, thermodynamic, static, and dynamic properties of a triangular lattice antiferromagnet Rb$_3$Yb(VO$_4$)$_2$. Through the analysis of magnetic susceptibility,…

Materials Science · Physics 2025-06-10 Sebin J. Sebastian , R. Kolay , Abhidev. B , Q. -P. Ding , Y. Furukawa , R. Nath

The possible quantum Hall ferromagnet at a filling factor $\nu =0$ is investigated for the zero-energy (N=0) Landau level of the two dimensional massless Dirac fermions in $\alpha$-(BEDT-TTF)$_2$I$_3$ under pressure with tilted cones and a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Akito Kobayashi , Yoshikazu Suzumura , Hidetoshi Fukuyama , Mark O. Goerbig