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Inelastic light scattering studies on single crystals of (Na$_{1-x}$Li$_x$)$_2$IrO$_3$ ($x = 0, 0.05$ and $0.15$) show a polarization independent broad band at $\sim $~2750 cm$^{-1}$ with a large band-width $\sim 1800$~cm$^{-1}$. For…

We study theoretically the Raman scattering response $I(\omega)$ in the gapless quantum spin liquid phase of the Kitaev-Heisenberg model. The dominant polarization-independent contribution $I_K (\omega)$ reflects the density of states of…

Strongly Correlated Electrons · Physics 2014-11-03 J. Knolle , Gia-Wei Chern , D. L. Kovrizhin , R. Moessner , N. B. Perkins

Kitaev exchange, a new paradigm in quantum magnetism research, occurs for 90$^{\circ}$ metal-ligand-metal links, $t_{2g}^5$ transition ions, and sizable spin-orbit coupling. It is being studied in honeycomb compounds but also on triangular…

Strongly Correlated Electrons · Physics 2023-10-11 Pritam Bhattacharyya , Nikolay A. Bogdanov , Satoshi Nishimoto , Stephen D. Wilson , Liviu Hozoi

We derive the spin Hamiltonian for the quantum spin liquid Na4Ir3O8, and then estimate the direct and superexchange contributions between near neighbor iridium ions using a tight binding parametrization of the electronic structure. We find…

Strongly Correlated Electrons · Physics 2015-05-18 T. Micklitz , M. R. Norman

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…

Kitaev interactions underlying a quantum spin liquid have been long sought, but experimental data from which their strengths can be determined directly is still lacking. Here, by carrying out inelastic neutron scattering measurements on…

The recently discovered three-dimensional hyperhoneycomb iridate, $\beta$-Li$_2$IrO$_3$, has raised hopes for the realization of dominant Kitaev interaction between spin-orbit entangled local moments due to its near-ideal lattice structure.…

Strongly Correlated Electrons · Physics 2016-01-15 Heung-Sik Kim , Eric Kin-Ho Lee , Yong Baek Kim

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,…

We present an analytical study of the exchange interactions between pseudospin one-half $d^{5}$ ions in honeycomb lattices with edge-shared octahedra. Various exchange channels involving Hubbard U, charge-transfer excitations, and cyclic…

Strongly Correlated Electrons · Physics 2022-06-10 Huimei Liu , Jiri Chaloupka , Giniyat Khaliullin

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

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

We report inelastic neutron scattering measurements on Na2IrO3, a candidate for the Kitaev spin model on the honeycomb lattice. We observe spin-wave excitations below 5 meV with a dispersion that can be accounted for by including…

Motivated by recent reports of a quantum disordered ground state in the triangular lattice compound NaRuO$_2$, we derive a $j_{\rm eff}=1/2$ magnetic model for this system by means of first-principles calculations. The pseudospin…

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

We present a thorough experimental study of the three-dimensional hyperhoneycomb Kitaev magnet $\beta$-Li$_2$IrO$_3$, using a combination of inelastic neutron scattering (INS), time-domain THz spectroscopy, and heat capacity measurements.…

We calculate the Raman response for the Kitaev spin model on the $\mathcal{H}$-$0$, $\mathcal{H}$-$1$, and $\mathcal{H}$-$\infty$ harmonic honeycomb lattices. We identify several quantitative features in the Raman spectrum that are…

Strongly Correlated Electrons · Physics 2015-09-30 Brent Perreault , Johannes Knolle , Natalia B. Perkins , F. J. Burnell

The Raman scattering with local optical excitation from the Majorana edge modes of Kitaev spin liquids and topological superconductors is studied theoretically. Although the effective one-dimensional model is common between these two cases,…

Strongly Correlated Electrons · Physics 2021-06-30 James Jun He , Naoto Nagaosa

The Kitaev-Heisenberg (KH) model has been proposed to capture magnetic interactions in iridate Mott insulators on the honeycomb lattice. We show that analogous interactions arise in many other geometries built from edge-sharing IrO_6…

Strongly Correlated Electrons · Physics 2014-02-28 Itamar Kimchi , Ashvin Vishwanath

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

Very recently a quantum liquid was reported to form in H$_3$LiIr$_2$O$_6$, an iridate proposed to be a close realization of the Kitaev honeycomb model. To test this assertion we perform detailed quantum chemistry calculations to determine…

Strongly Correlated Electrons · Physics 2018-11-13 Ravi Yadav , Rajyavardhan Ray , Mohamed S. Eldeeb , Satoshi Nishimoto , Liviu Hozoi , Jeroen van den Brink
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