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An effective low-energy Hamiltonian of itinerant electrons for iridium oxide Na2IrO3 is derived by an ab initio downfolding scheme. The model is then reduced to an effective spin model on a honeycomb lattice by the strong coupling…

Strongly Correlated Electrons · Physics 2014-09-08 Youhei Yamaji , Yusuke Nomura , Moyuru Kurita , Ryotaro Arita , Masatoshi Imada

We have investigated the quantum $J_1-J_2-J_3$ model on the honeycomb lattice with exact diagonalizations and linear spin-wave calculations for selected values of $J_{2}/J_{1}$, $J_{3}/J_{1}$ and antiferromagnetic ($J_{1}>0$) or…

Strongly Correlated Electrons · Physics 2009-11-07 J. B. Fouet , P. Sindzingre , C. Lhuillier

We demonstrate the versatility, simplicity, and power of the minimally-augmented spin-wave theory in studying phase diagrams of the quantum spin models in which unexpected magnetically ordered phases occur or the existing ones expand beyond…

Strongly Correlated Electrons · Physics 2025-11-13 A. L. Chernyshev

Motivated by the rich physics of honeycomb magnetic materials, we obtain the phase diagram and analyze magnetic properties of the spin-1/2 and spin-1 J1-J2-J3 Heisenberg model on the honeycomb lattice. Based on the SU(2) and SU(3) symmetry…

Strongly Correlated Electrons · Physics 2018-05-16 J. Merino , A. Ralko

A range of honeycomb-lattice compounds has been proposed and investigated in the search for a topological Kitaev spin liquid. However, sizable Heisenberg interactions and additional symmetry-allowed exchange anisotropies in the magnetic…

Strongly Correlated Electrons · Physics 2018-10-18 Ravi Yadav , Stephan Rachel , Liviu Hozoi , Jeroen van den Brink , George Jackeli

We have combined single crystal neutron and x-ray diffractions to investigate the magnetic and crystal structures of the honeycomb lattice $\rm Na_2IrO_3$. The system orders magnetically below $18.1(2)$ K with Ir$^{4+}$ ions forming zigzag…

Strongly Correlated Electrons · Physics 2012-05-09 Feng Ye , Songxue Chi , Huibo Cao , Bryan C. Chakoumakos , Jaime A. Fernandez-Baca , Radu Custelcean , Tongfei Qi , O. B. Korneta , G. Cao

Recent experimental studies of the spin-1 honeycomb antiferromagnet Na$_3$Ni$_2$BiO$_6$ have revealed a pronounced one-third magnetization plateau under applied magnetic fields, highlighting the presence of strong magnetic frustration and…

Strongly Correlated Electrons · Physics 2026-02-05 Amanda A. Konieczna , P. Peter Stavropoulos , Roser Valentí

In this study, we reanalyze the magnetic interactions in the Kitaev spin liquid candidate materials Na$_2$IrO$_3$, $\alpha$-RuCl$_3$, and $\alpha$-Li$_2$IrO$_3$ using nonperturbative exact diagonalization methods. These methods are more…

Strongly Correlated Electrons · Physics 2016-07-06 Stephen M. Winter , Ying Li , Harald O. Jeschke , Roser Valenti

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

Strongly Correlated Electrons · Physics 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

The magnetic field response of the Mott-insulating honeycomb iridate Na$_{2}$IrO$_{3}$ is investigated using torque magnetometry measurements in magnetic fields up to 60 tesla. A peak-dip structure is observed in the torque response at…

A polycrystalline sample of the hyperhoneycomb iridate $\beta$-ZnIrO$_3$ was synthesized via a topochemical reaction, and its structural, magnetic, and thermodynamic properties were investigated. The magnetization and heat capacity data…

Strongly Correlated Electrons · Physics 2022-02-17 Yuya Haraguchi , Akira Matsuo , Koichi Kindo , Hiroko Aruga Katori

Ilmenites $AB$O$_3$ provide a platform for electron correlation and magnetism on alternatively stacked honeycomb layers of edge-sharing $A$O$_6$ or $B$O$_6$ octahedra. When $A$ and $B$ are $3d$ transition metals, strong electron correlation…

Strongly Correlated Electrons · Physics 2024-02-12 Seong-Hoon Jang , Yukitoshi Motome

Single crystals of a honeycomb lattice antiferromagnet, Tb$_2$Ir$_3$Ga$_9$ were synthesized, and the physical properties have been studied. From magnetometry, a long-range antiferromagnetic ordering at $\approx$12.5 K with highly…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Mojammel A. Khan , Qiang Zhang , Jin-Ke Bao , Randy S. Fishman , Antia S. Botana , Y. Choi , G. Fabbris , D. Haskel , John Singleton , John F. Mitchell

The magnetic orders in Na$_2$IrO$_3$ and $\alpha-$RuCl$_3$, honeycomb systems with strong spin-orbit coupling and correlations, have been recently described by models with the dominant Kitaev interactions. In this work we discuss how the…

Strongly Correlated Electrons · Physics 2017-02-10 Yuriy Sizyuk , Peter Woelfle , Natalia B. Perkins

Rare earth oxides have attracted interest as a platform for studying frustrated magnetism arising from bond dependent anisotropic interactions. Ordered rock salt compounds Na$_2$PrO$_3$ crystallize in two polymorphs ($\alpha$ and $\beta$)…

Strongly Correlated Electrons · Physics 2024-10-15 Ryutaro Okuma , Kylie MacFarquharson , Radu Coldea

The Kitaev model predicts that quantum spin liquids (QSLs) will form at low temperatures under certain special conditions, and materials hosting the QSL state are frequently sought. The layered honeycomb lattice material {\alpha}-RuCl3 has…

Materials Science · Physics 2022-01-24 Danrui Ni , Xin Gui , Kelly M. Powderly , R. J. Cava

We study magnetically ordered phases and their phase boundaries in the $J_1-J_2-J_3$ Heisenberg models on the honeycomb lattice using series expansions around N\'eel and different colinear and non-colinear magnetic states. An Ising…

Strongly Correlated Electrons · Physics 2013-05-29 J. Oitmaa , R. R. P. Singh

The sample quality of the hyperhoneycomb lattice Kitaev magnet $\beta$-ZnIrO$_3$ was successfully improved by removing the maximum amount of moisture from the reaction ampoule. The X-ray diffraction structural analysis of the high-quality…

Strongly Correlated Electrons · Physics 2023-10-24 Yuya Haraguchi , Hiroko Aruga Katori

We report magnetization and neutron diffraction studies on crystal and magnetic structures of Ir- and Rh-substituted honeycomb lattice $\alpha$-RuCl$_3$. The iridium or rhodium atoms are distributed at the Ru site with little structural…

Materials Science · Physics 2023-10-05 Zachary Morgan , Iris Ye , Colin L. Sarkis , Xiaoping Wang , Stephen Nagler , Jiaqiang Yan

Fifteen years since its inception, the Kitaev model still boasts only a narrow group of material realizations. We review the progress in studying and understanding one of them, lithium iridate Li$_2$IrO$_3$ available in three polymorphs…

Strongly Correlated Electrons · Physics 2022-05-16 Alexander A. Tsirlin , Philipp Gegenwart
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