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The spin-$\frac12$ triangular lattice antiferromagnetic Heisenberg model has been for a long time the prototypical model of magnetic frustration. However, only very recently this model has been proposed to be realized in the…

Strongly Correlated Electrons · Physics 2022-03-30 Matías G. Gonzalez , Bernard Bernu , Laurent Pierre , Laura Messio

The nature of electronic states due to strong correlation and geometric frustration on the triangular lattice is investigated in connection to the unconventional insulating state of Na$_x$CoO$_2$ at $x=0.5$. We study an extended Hubbard…

Strongly Correlated Electrons · Physics 2007-06-13 Sen Zhou , Ziqiang Wang

Recently, thermal Hall effect has been observed in the paramagnetic state of Volborthite, which consists of distorted Kagome layers with $S=1/2$ local moments. Despite the appearance of a magnetic order below $1 \, \mathrm{K}$, the response…

Strongly Correlated Electrons · Physics 2017-10-18 Li Ern Chern , Robert Schaffer , Sopheak Sorn , Yong Baek Kim

The kagome lattice can host exotic magnetic phases arising from frustrated and competing magnetic interactions. However, relatively few insulating kagome materials exhibit incommensurate magnetic ordering. Here, we present a study of the…

Strongly Correlated Electrons · Physics 2023-04-19 Joseph A. M. Paddison , Li Yin , Keith M. Taddei , Malcolm J. Cochran , Stuart A. Calder , David S. Parker , Andrew F. May

Sr2RuO4 is at present the best candidate for being a superconducting analogue of the triplet superfluidity in ^3He. This material is a good (albeit correlated) Fermi liquid in the normal state and an exotic superconductor below Tc. The…

Superconductivity · Physics 2015-06-24 K. I. Wysokinski , G. Litak , J. F. Annett , B. L. Gyorffy

Thermodynamic properties such as magnetic susceptibility and specific heat have been computed for the Heisenberg Antiferromagnet with spatially anisotropic exchange on the kagome lattice on clusters up to N=24 spins from the full spectra…

Strongly Correlated Electrons · Physics 2007-07-31 P. Sindzingre

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the $J_1$--$J_2$ model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very…

Strongly Correlated Electrons · Physics 2007-05-23 Nic Shannon , Burkhard Schmidt , Karlo Penc , Peter Thalmeier

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

Strongly Correlated Electrons · Physics 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

Mott insulators with a half-filled band of electrons on the triangular lattice have been recently studied in a variety of organic compounds. All of these compounds undergo transitions to metallic/superconducting states under moderate…

Strongly Correlated Electrons · Physics 2008-05-09 Yang Qi , Subir Sachdev

The Dirac spin liquid ground state of the spin 1/2 Heisenberg kagome antiferromagnet has potential instabilities[1-4]. This has been suggested as the reason why it is not strongly supported in large-scale numerical calculations[5]. However,…

Strongly Correlated Electrons · Physics 2013-11-13 Bryan Clark , Jesse Kinder , Eric Neuscamman , Garnet Kin-Lic Chan , Michael J. Lawler

We numerically study the spin-1/2 antiferromagnetic Heisenberg model on the kagom\'{e} lattice using the density-matrix renormalization group (DMRG) method. We find that the ground state is a magnetically disordered spin liquid,…

Strongly Correlated Electrons · Physics 2008-09-11 H. C. Jiang , Z. Y. Weng , D. N. Sheng

We investigate the structural and magnetic properties of BaNi$_3$(AsO$_4$)$_2$(OH)$_2$, focusing on its spin-1 kagome lattice and the intricate coexistence of ferromagnetic and antiferromagnetic interactions. Powder x-ray diffraction…

Strongly Correlated Electrons · Physics 2025-08-14 Yuya Haraguchi , Jun-ichi Yamaura , Akira Matsuo , Koichi Kindo , Hiroko Aruga Katori

Spin-1/2 kagome-lattice Heisenberg antiferromagnet is theoretically known to have a quantum spin liquid ground state, one of the frontiers of condensed matter physics. The search for the model substances has been continued for a long time,…

Strongly Correlated Electrons · Physics 2024-08-21 Hidekazu Tanaka

Magnetic order on the spatially anisotropic triangular lattice of $\alpha$-NaMnO$_2$ is studied via neutron diffraction measurements. The transition into a commensurate, collinear antiferromagnetic ground state with $\mathbf{k}=(0.5, 0.5,…

Strongly Correlated Electrons · Physics 2018-11-14 Rebecca L. Dally , Robin Chisnell , Leland Harriger , Yaohua Liu , Jeffrey W. Lynn , Stephen D. Wilson

We study quantum disordered ground states of the two dimensional Heisenberg-Kitaev model on the triangular lattice using a Schwinger boson approach. Our aim is to identify and characterize potential gapped quantum spin liquid phases that…

Strongly Correlated Electrons · Physics 2017-01-25 Pavel Kos , Matthias Punk

We present a modification of exactly solvable spin-(1/2) Kitaev model on the decorated honeycomb lattice, with a ground state of "spin metal" type. The model is diagonalized in terms of Majorana fermions; the latter form a 2D gapless state…

Strongly Correlated Electrons · Physics 2013-05-29 K. S. Tikhonov , M. V. Feigel'man

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-08-05 E. M. Stoudenmire , Leon Balents

We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantum dimer model on the diamond lattice. We…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Gregory A. Fiete , Leon Balents

The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ and $J_{\triangledown}$ within elementary up- and…

Strongly Correlated Electrons · Physics 2018-03-16 Yasir Iqbal , Didier Poilblanc , Ronny Thomale , Federico Becca

We have synthesized the novel material Na_2IrO_3 and studied its structure, transport, magnetic, and thermal properties using powder x-ray diffraction (PXRD), electrical resistivity, isothermal magnetization M versus magnetic field H,…

Strongly Correlated Electrons · Physics 2010-06-04 Yogesh Singh , P. Gegenwart