Concept and realization of Kitaev quantum spin liquids

H Takagi, T Takayama, G Jackeli, G Khaliullin… - Nature Reviews …, 2019 - nature.com
The Kitaev model is an exactly solvable S= 1/2 spin model on a 2D honeycomb lattice, in
which the spins fractionalize into Majorana fermions and form a topological quantum spin …

Beyond Kitaev physics in strong spin-orbit coupled magnets

I Rousochatzakis, NB Perkins, Q Luo… - Reports on Progress in …, 2024 - iopscience.iop.org
We review the recent advances and current challenges in the field of strong spin-orbit
coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly …

Models and materials for generalized Kitaev magnetism

SM Winter, AA Tsirlin, M Daghofer… - Journal of Physics …, 2017 - iopscience.iop.org
The exactly solvable Kitaev model on the honeycomb lattice has recently received
enormous attention linked to the hope of achieving novel spin-liquid states with …

A spin–orbital-entangled quantum liquid on a honeycomb lattice

K Kitagawa, T Takayama, Y Matsumoto, A Kato… - Nature, 2018 - nature.com
The honeycomb lattice is one of the simplest lattice structures. Electrons and spins on this
simple lattice, however, often form exotic phases with non-trivial excitations. Massless Dirac …

Interacting topological insulators: a review

S Rachel - Reports on Progress in Physics, 2018 - iopscience.iop.org
The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

Physics of the Kitaev model: Fractionalization, dynamic correlations, and material connections

M Hermanns, I Kimchi, J Knolle - Annual Review of Condensed …, 2018 - annualreviews.org
Quantum spin liquids have fascinated condensed matter physicists for decades because of
their unusual properties such as spin fractionalization and long-range entanglement. Unlike …

Hunting Majorana fermions in Kitaev magnets

Y Motome, J Nasu - Journal of the Physical Society of Japan, 2020 - journals.jps.jp
A Majorana fermion is a fermionic particle that is its own antiparticle. Since the theoretical
discovery by Ettore Majorana in 1937, the exotic particle has long been searched in particle …

Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales

SM Winter, Y Li, HO Jeschke, R Valentí - Physical Review B, 2016 - APS
In this study, we reanalyze the magnetic interactions in the Kitaev spin-liquid candidate
materials Na 2 IrO 3, α-RuCl 3, and α-Li 2 IrO 3 using nonperturbative exact diagonalization …

Orbital effects in solids: Basics, recent progress, and opportunities

DI Khomskii, SV Streltsov - Chemical Reviews, 2020 - ACS Publications
The properties of transition metal compounds are largely determined by nontrivial interplay
of different degrees of freedom: charge, spin, lattice, and also orbital ones. Especially rich …

Chemistry of quantum spin liquids

JR Chamorro, TM McQueen, TT Tran - Chemical Reviews, 2020 - ACS Publications
Quantum spin liquids are an exciting playground for exotic physical phenomena and
emergent many-body quantum states. The realization and discovery of quantum spin liquid …