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The layered honeycomb magnet $\alpha$-Li$_2$IrO$_3$ has been theoretically proposed as a candidate to display novel magnetic behaviour associated with Kitaev interactions between spin-orbit entangled $j_{\rm eff}=1/2$ magnetic moments on a…

Strongly Correlated Electrons · Physics 2017-02-17 S. C. Williams , R. D. Johnson , F. Freund , Sungkyun Choi , A. Jesche , I. Kimchi , S. Manni , A. Bombardi , P. Manuel , P. Gegenwart , R. Coldea

The recently-synthesized iridate $\beta$-Li$_2$IrO$_3$ has been proposed as a candidate to display novel magnetic behavior stabilized by frustration effects from bond-dependent, anisotropic interactions (Kitaev model) on a three-dimensional…

Strongly Correlated Electrons · Physics 2014-12-02 A. Biffin , R. D. Johnson , Sungkyun Choi , F. Freund , S. Manni , A. Bombardi , P. Manuel , P. Gegenwart , R. Coldea

We present a theoretical study of the static and dynamical properties of the Kitaev magnet $\beta$-Li$_2$IrO$_3$ based on the minimal $J$-$K$-$\Gamma$ model. We argue that the incommensurate magnetic order of $\beta$-Li$_2$IrO$_3$ can be…

Strongly Correlated Electrons · Physics 2018-03-20 Samuel Ducatman , Ioannis Rousochatzakis , Natalia B. Perkins

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,…

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

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.…

Incommensurate spiral order is a common occurrence in frustrated magnetic insulators. Typically, all magnetic moments rotate uniformly, through the same wavevector. However the honeycomb iridates family Li2IrO3 shows an incommensurate order…

Strongly Correlated Electrons · Physics 2016-11-23 Itamar Kimchi , Radu Coldea

A family of insulating iridates with chemical formula Li$_2$IrO$_3$ has recently been discovered, featuring three distinct crystal structures $\alpha,\beta,\gamma$ (honeycomb, hyperhoneycomb, stripyhoneycomb). Measurements on the…

Strongly Correlated Electrons · Physics 2015-06-17 Itamar Kimchi , Radu Coldea , Ashvin Vishwanath

We present a theoretical study of the response of $\beta$-$\text{Li}_2\text{IrO}_3$ under external magnetic fields in the $ab$, $bc$ and $ac$ crystallographic planes. The results are based on the minimal nearest-neighbor $J$-$K$-$\Gamma$…

Strongly Correlated Electrons · Physics 2020-09-02 Mengqun Li , Ioannis Rousochatzakis , Natalia B. Perkins

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

Magnetic moments arranged at the corners of a honeycomb lattice are predicted to form a novel state of matter, Kitaev quantum spin liquid, under the influence of frustration effects between bond-dependent Ising interactions. Some layered…

Strongly Correlated Electrons · Physics 2022-03-09 Sean K. Takahashi , Jiaming Wang , Alexandre Arsenault , Mykola Abramchuk , Fazel Tafti , Philip M. Singer , Takashi Imai

Recent scattering experiments in the 3D Kitaev magnet $\beta$-Li$_2$IrO$_3$ have shown that a relatively weak magnetic field along the crystallographic ${\bf b}$-axis drives the system from its incommensurate counter-rotating order to a…

Strongly Correlated Electrons · Physics 2018-05-30 Ioannis Rousochatzakis , Natalia B. Perkins

In recent years, a lot of effort has been devoted to the quest for experimental realizations of Kitaev interactions in spin systems. Recently, many materials have been synthesized which seem to realize extended Kitaev models, where Kitaev…

Strongly Correlated Electrons · Physics 2019-06-05 Maria Laura Baez

Two recent theoretical works studied the role of Kitaev interactions in the newly observed incommensurate magnetic order in the hyper-honeycomb ($\beta$-Li$_2$IrO$_3$) and stripy-honeycomb ($\gamma$-Li$_2$IrO$_3$) iridates. Each of these…

Strongly Correlated Electrons · Physics 2016-05-25 Eric Kin-Ho Lee , Jeffrey G. Rau , Yong Baek Kim

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

Strongly Correlated Electrons · Physics 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

In this work, we investigate the microscopic nature of the magnetism in honeycomb iridium-based systems by performing a systematic study of how the effective magnetic interactions in these compounds depend on various electronic microscopic…

Strongly Correlated Electrons · Physics 2015-06-22 Yuriy Sizyuk , Craig Price , Peter Wölfle , Natalia B. Perkins

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

Kitaev's honeycomb spin-liquid model and its proposed realization in materials such as $\alpha$-RuCl$_3$, Li$_2$IrO$_3$ and Na$_2$IrO$_3$ continue to present open questions about how the dynamics of a spin-liquid are modified in the…

Strongly Correlated Electrons · Physics 2020-02-12 R. Sarkar , Z. Mei , A. Ruiz , G. Lopez , H. -H. Klauss , J. G. Analytis , I. Kimchi , N. J. Curro

Nearly two decades ago, Alexei Kitaev proposed a model for spin-$1/2$ particles with bond-directional interactions on a two-dimensional honeycomb lattice which had the potential to host a quantum spin-liquid ground state. This work…

Materials Science · Physics 2022-01-19 Faranak Bahrami , Mykola Abramchuk , Oleg I. Lebedev , Fazel Tafti
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