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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

A quantum spin liquid hosts massive quantum entanglement whose identification is one of the most significant problems in physics. Yet, its detection is known to be notoriously difficult because of featureless properties without a symmetry…

Strongly Correlated Electrons · Physics 2024-12-17 Minsu Park , Masafumi Udagawa , Eun-Gook Moon

The Kitaev spin model offers an exact quantum spin liquid in the ground state, which has stimulated exploration of its material realization over the last decade. Thus far, most of the candidates are found in $4d$- and $5d$-electron…

Strongly Correlated Electrons · Physics 2020-11-03 Seong-Hoon Jang , Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

We investigate possible topological superconductivity in the Kondo-Kitaev model on the honeycomb lattice, where the Kitaev spin liquid is coupled to conduction electrons via the Kondo coupling. We use the self-consistent Abrikosov-fermion…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Philipp W. Klein , Achim Rosch , Yong Baek Kim

We present a modification of exactly solvable spin-(1/2) Kitaev model on the decorated honeycomb lattice, with a ground state of "spin metal" type. The model is diagonalized in terms of Majorana fermions; the latter form a 2D gapless state…

Strongly Correlated Electrons · Physics 2013-05-29 K. S. Tikhonov , M. V. Feigel'man

The Kitaev model exhibits a canonical quantum spin liquid as a ground state and hosts two fractional quasiparticles, itinerant Majorana fermion and localized flux excitation. The former can carry heat and spin modulations in the quantum…

Strongly Correlated Electrons · Physics 2022-07-27 Joji Nasu , Yuta Murakami , Akihisa Koga

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

Quantum Physics · Physics 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

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 nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

Strongly Correlated Electrons · Physics 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

We investigate the emergence of bond-directional spin-spin interactions in a synthetic Fermi-Hubbard bilayer that can be realized with ultracold fermions in Raman optical lattices. The model exploits synthetic dimensions to couple two…

Quantum Gases · Physics 2025-11-19 Daniel González-Cuadra , Alejandro Bermudez

We study the finite temperature phase diagram of the Heisenberg-Kitaev model on a three dimensional hyperhoneycomb lattice. Using semiclassical analysis and classical Monte-Carlo simulations, we investigate quantum and thermal…

Strongly Correlated Electrons · Physics 2015-06-17 SungBin Lee , Eric Kin-Ho Lee , Arun Paramekanti , Yong Baek Kim

Quantum spin liquid is a disordered magnetic state with fractional spin excitations. Its clearest example is found in an exactly solved Kitaev honeycomb model where a spin flip fractionalizes into two types of anyons, quasiparticles that…

Strongly Correlated Electrons · Physics 2018-05-10 N. Janša , A. Zorko , M. Gomilšek , M. Pregelj , K. W. Krämer , D. Biner , A. Biffin , Ch. Rüegg , M. Klanjšek

The 5d-electron honeycomb compound H$_3$LiIr$_2$O$_3$ [K. Kitagawa $et$ $al.$, Nature 554, 341-345 (2018)] exhibits an apparent quantum spin liquid (QSL) state. In this intercalated spin-orbital compound, a remarkable pile up of low-energy…

Strongly Correlated Electrons · Physics 2019-02-07 Johannes Knolle , Roderich Moessner , Natalia B. Perkins

The higher-spin Kitaev magnets, in which the Kitaev interaction and off-diagonal exchange couplings are overwhelmingly large, have emerged as a fertile avenue to explore exotic phases and unusual excitations. In this work, we study the…

Strongly Correlated Electrons · Physics 2024-07-12 Qiang Luo , Jize Zhao , Jinbin Li , Xiaoqun Wang

The hyperfine interaction between the electron spin and the nuclear spins is one of the main sources of decoherence for spin qubits when the nuclear spins are disordered. An ordering of the latter largely suppresses this source of…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Bernd Braunecker , Pascal Simon , Daniel Loss

We consider the effect of spin-orbit coupling on a two-dimensional Kondo Lattice model, in which conduction electrons are antiferromagnetically coupled to a Yao-Lee spin liquid. When a Rashba spin-orbit interaction and a nearest-neighbor…

Strongly Correlated Electrons · Physics 2025-01-07 Zekun Zhuang , Piers Coleman

We investigate the impact of two types of disorder, bond randomness and site dilution, on the spin dynamics in the Kitaev model on a honeycomb lattice. The ground state of this model is a canonical quantum spin liquid with spin…

Strongly Correlated Electrons · Physics 2021-07-14 Joji Nasu , Yukitoshi Motome

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

The family of edge-sharing tri-coordinated iridates and ruthenates has emerged in recent years as a major platform for Kitaev spin liquid physics, where spins fractionalize into emergent magnetic fluxes and Majorana fermions with Dirac-like…

The Yao-Lee model is an example of exactly solvable spin-orbital models that are generalizations of the original Kitaev honeycomb model with extra local orbital degrees of freedom. Similar to the Kitaev model, both spin and orbital degrees…

Strongly Correlated Electrons · Physics 2024-05-22 Vladislav Poliakov , Wen-Han Kao , Natalia B. Perkins
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