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Related papers: Bond ordering and phase transitions in Na$_{2}$IrO…

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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

Despite the exciting implications of the Kitaev spin-Hamiltonian, finding and confirming the quantum spin liquid state has proven incredibly difficult. Recently the applicability of the model has been expanded through the development of a…

Strongly Correlated Electrons · Physics 2022-09-23 K. M. Taddei , V. O. Garlea , A. M. Samarakoon , L. D. Sanjeewa , J. Xing , T. W. Heitmann , C. dela Cruz , A. S. Sefat , D. Parker

Layered honeycomb magnets are of interest as potential realizations of the Kitaev quantum spin liquid (KQSL), a quantum state with long-range spin entanglement and an exactly solvable Hamiltonian. Conventional magnetically ordered states…

Strongly Correlated Electrons · Physics 2020-01-28 Ruidan Zhong , Tong Gao , Nai Phuan Ong , Robert J. Cava

Motivated by recent experiments, we consider a generic spin model in the $j_{\text{eff}}=1/2$ basis for the hyperhoneycomb and harmonic-honeycomb iridates. Based on microscopic considerations, the effect of an additional bond-dependent…

Strongly Correlated Electrons · Physics 2015-02-09 Eric Kin-Ho Lee , Yong Baek Kim

The Kitaev model is a rare example of an analytically solvable and physically instantiable Hamiltonian yielding a topological quantum spin liquid ground state. Here we report signatures of Kitaev spin liquid physics in the honeycomb magnet…

Strongly Correlated Electrons · Physics 2021-01-04 Hector K. Vivanco , Benjamin A. Trump , Craig M. Brown , Tyrel M. McQueen

We present high-pressure (2 GPa) $^7$Li nuclear magnetic resonance (NMR) measurements on single crystals of the hyper-honeycomb Kitaev magnet $\beta$-Li$_2$IrO$_3$. The spectra show evidence for a structural phase transition around 200 K…

Strongly Correlated Electrons · Physics 2025-12-16 Aimé Verrier , Vikram Nagarajan , Louis-Thomas Gendron , James G. Analytis , Jeffrey A. Quilliam

Motivated by the recent synthesis of two insulating Li$_2$IrO$_3$ polymorphs, where Ir$^{4+}$ $S_{eff}$=1/2 moments form 3D ("harmonic") honeycomb structures with threefold coordination, we study magnetic Hamiltonians on the resulting…

Strongly Correlated Electrons · Physics 2014-11-26 Itamar Kimchi , James G. Analytis , Ashvin Vishwanath

The magnetic structures and spin dynamics of Na$_{2}$Co$_{2}$TeO$_{6}$ and Na$_{2}$Ni$_{2}$TeO$_{6}$ are investigated by means of elastic and inelastic neutron scattering measurements and the results are discussed in the context of a…

Strongly Correlated Electrons · Physics 2021-11-24 Anjana M. Samarakoon , Qiang Chen , Haidong Zhou , V. Ovidiu Garlea

Materials that realize Kitaev spin models with bond-dependent anisotropic interactions have long been searched for, as the resulting frustration effects are predicted to stabilize novel forms of magnetic order or quantum spin liquids. Here…

Strongly Correlated Electrons · Physics 2014-11-11 A. Biffin , R. D. Johnson , I. Kimchi , R. Morris , A. Bombardi , J. G. Analytis , A. Vishwanath , R. Coldea

A pressure-induced collapse of magnetic ordering in $\beta$-Li$_2$IrO$_3$ at $P_m\sim1.5- 2$ GPa has previously been interpreted as evidence for possible emergence of spin liquid states in this hyperhoneycomb iridate, raising prospects for…

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

We discuss the magnetic phases of the Hubbard model for the honeycomb lattice both in two and three spatial dimensions. A ground state phase diagram is obtained depending on the interaction strength U and electronic density n. We find a…

Strongly Correlated Electrons · Physics 2016-08-31 N. M. R. Peres , M. A. N. Araujo , Daniel Bozi

We study the effective spin-orbital model for honeycomb-layered transition metal compounds, applying the second-order perturbation theory to the three-orbital Hubbard model with the anisotropic hoppings. This model is reduced to the Kitaev…

Strongly Correlated Electrons · Physics 2018-04-04 Akihisa Koga , Shiryu Nakauchi , Joji Nasu

In the quest for materials hosting Kitaev spin liquids, much of the efforts have been focused on the fourth- and fifth-row transition metal compounds, which are spin-orbit coupling assisted Mott insulators. Here, we study the structural and…

Strongly Correlated Electrons · Physics 2022-12-20 Shishir Kumar Pandey , Ji Feng

We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

Strongly Correlated Electrons · Physics 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

Na2Co2TeO6 is a proposed approximate Kitaev magnet, yet its actual magnetic interactions are elusive due to a lack of knowledge on the full excitation spectrum. Here, using inelastic neutron scattering and single crystals, we determine the…

Strongly Correlated Electrons · Physics 2022-10-04 Weiliang Yao , Kazuki Iida , Kazuya Kamazawa , Yuan Li

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

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

The intertwined charge, spin, orbital, and lattice degrees of freedom could endow 5d compounds with exotic properties. Current interest is focused on electromagnetic interactions in these materials, whereas the important role of lattice…

Using quantum chemistry calculations we shed fresh light on the electronic structure and magnetic properties of RuCl3, a proposed realization of the honeycomb Kitaev spin model. It is found that the nearest-neighbor Kitaev exchange K is…

Strongly Correlated Electrons · Physics 2017-01-19 Ravi Yadav , Nikolay A. Bogdanov , Vamshi M. Katukuri , Satoshi Nishimoto , Jeroen van den Brink , Liviu Hozoi