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Related papers: Two iridates, two models, two approaches: a compar…

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We calculate magnon dispersions and damping in the Kitaev-Heisenberg model with an off-diagonal exchange $\Gamma$ and isotropic third-nearest-neighbor interaction $J_3$ on a honeycomb lattice. This model is relevant to a description of the…

Strongly Correlated Electrons · Physics 2020-02-21 R. L. Smit , S. Keupert , O. Tsyplyatyev , P. A. Maksimov , A. L. Chernyshev , P. Kopietz

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir$^{4+}$ ions in a family of layered iridates $A_2$IrO$_3$ ($A$=Li,Na). Depending on the microscopic parameters, the…

Strongly Correlated Electrons · Physics 2014-11-20 Jiri Chaloupka , George Jackeli , Giniyat Khaliullin

Intensive studies of the interplay between spin-orbit coupling (SOC) and electronic correlations in transition metal compounds have recently been undertaken. In particular, $j_{\rm eff}$ = 1/2 bands on a honeycomb lattice provide a pathway…

Strongly Correlated Electrons · Physics 2015-06-24 Heung-Sik Kim , V. Vijay Shankar , Andrei Catuneanu , Hae-Young Kee

Anyonic excitations emerging from a Kitaev spin liquid can form a basis for quantum computers. Searching for such excitations motivated intense research on the honeycomb iridate materials. However, access to a spin liquid ground state has…

Recently, realizations of Kitaev physics have been sought in the A2IrO3 family of honeycomb iridates, originating from oxygen-mediated exchange through edge-shared octahedra. However, for the j = 1/2 Mott insulator in these materials…

Strongly Correlated Electrons · Physics 2014-03-18 Jeffrey G. Rau , Eric Kin-Ho Lee , Hae-Young Kee

In the Kitaev honeycomb model, spins coupled by strongly-frustrated anisotropic interactions do not order at low temperature but instead form a quantum spin liquid with spin fractionalization into Majorana fermions and static fluxes. The…

The realization of unconventional quantum phases in frustrated and spin-orbit coupled materials remains at the forefront of quantum materials research. Here we report the synthesis and discovery of NiIrO3, the first honeycomb iridate with…

We present a unified description of the response of the hyperhoneycomb Kitaev magnet $\beta$-$\text{Li}_2\text{IrO}_3$ to applied magnetic fields along the orthorhombic directions ${\bf a}$, ${\bf b}$ and ${\bf c}$. This description is…

Strongly Correlated Electrons · Physics 2020-01-28 Mengqun Li , Ioannis Rousochatzakis , Natalia B. Perkins

The complexity of the antiferromagnetic orders observed in the honeycomb iridates is a double-edged sword in the search for a quantum spin-liquid ground state: both attesting that the magnetic interactions provide many of the necessary…

Strongly Correlated Electrons · Physics 2019-02-22 K. A. Modic , B. J. Ramshaw , Nicholas P. Breznay , James G. Analytis , Ross D. McDonald , Arkady Shekhter

Due to the combination of a substantial spin-orbit coupling and correlation effects, iridium oxides hold a prominent place in the search for novel quantum states of matter, including, e.g., Kitaev spin liquids and topological Weyl states.…

Strongly Correlated Electrons · Physics 2017-07-11 Vamshi M. Katukuri , Ravi Yadav , Liviu Hozoi , Satoshi Nishimoto , Jeroen van den Brink

We explore the response of Ir $5d$ orbitals to pressure in $\beta$-$\mathrm{Li_2IrO_3}$, a hyperhoneycomb iridate in proximity to a Kitaev quantum spin liquid (QSL) ground state. X-ray absorption spectroscopy reveals a reconstruction of the…

Na$_2$IrO$_3$, a honeycomb 5$d^5$ oxide, has been recently identified as a potential realization of the Kitaev spin lattice. The basic feature of this spin model is that for each of the three metal-metal links emerging out of a metal site,…

Combining thermodynamic measurements with theoretical density functional and thermodynamic calculations we demonstrate that the honeycomb lattice iridates A2IrO3 (A = Na, Li) are magnetically ordered Mott insulators where the magnetism of…

Strongly Correlated Electrons · Physics 2012-03-26 Yogesh Singh , S. Manni , J. Reuther , T. Berlijn , R. Thomale , W. Ku , S. Trebst , P. Gegenwart

There have been tremendous experimental and theoretical efforts toward discovery of quantum spin liquid phase in honeycomb-based-lattice materials with strong spin-orbit coupling. Here the bond-dependent Kitaev interaction between local…

Strongly Correlated Electrons · Physics 2016-12-23 Heung-Sik Kim , Yong Baek Kim , Hae-Young Kee

The unconventional magnetic orderings found in Kitaev spin liquid candidates suggest frustration of spin interactions, and raise a possibility of nearby spin liquid phases. In particular, counter-rotating spiral ordering in…

Strongly Correlated Electrons · Physics 2018-09-12 Panagiotis Peter Stavropoulos , Andrei Catuneanu , Hae-Young Kee

We have explored the hidden symmetries of a generic four-parameter nearest-neighbor spin model, allowed in honeycomb lattice compounds under trigonal compression. Our method utilizes a systematic algorithm to identify all dual…

Strongly Correlated Electrons · Physics 2015-07-14 Jiří Chaloupka , Giniyat Khaliullin

Kitaev materials are promising materials for hosting quantum spin liquids and investigating the interplay of topological and symmetry-breaking phases. We use an unsupervised and interpretable machine-learning method, the tensorial-kernel…

Strongly Correlated Electrons · Physics 2021-04-06 Ke Liu , Nicolas Sadoune , Nihal Rao , Jonas Greitemann , Lode Pollet

With large spin-orbit coupling, the $t_{2g}^5$ electron configuration in $d$-metal oxides is prone to highly anisotropic exchange interactions and exotic magnetic properties. In $5d^5$ iridates, given the existing variety of crystal…

Strongly Correlated Electrons · Physics 2015-11-30 Vamshi M. Katukuri , Satoshi Nishimoto , Ioannis Rousochatzakis , Hermann Stoll , Jeroen van den Brink , Liviu Hozoi

Cobaltates with 3$d$ based layered honeycomb structure were recently proposed as Kitaev magnets and putative candidates to host the long-sought Kitaev spin liquid. Here we present inelastic neutron scattering results down to 50 mK for…

Strongly Correlated Electrons · Physics 2023-01-18 Alaric L. Sanders , Richard A. Mole , Jiatu Liu , Alex J. Brown , Dehong Yu , Chris D. Ling , Stephan Rachel

Heisenberg interactions are ubiquitous in magnetic materials and have been prevailing in modeling and designing quantum magnets. Bond-directional interactions offer a novel alternative to Heisenberg exchange and provide the building blocks…