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Two- and three-dimensional Kitaev magnets are prototypical frustrated quantum spin systems, in which the original spin degrees of freedom fractionalize into Majorana fermions and a $\mathbb{Z}_2$ gauge field -- a purely local phenomenon…

Strongly Correlated Electrons · Physics 2019-11-06 T. Eschmann , P. A. Mishchenko , T. A. Bojesen , Y. Kato , M. Hermanns , Y. Motome , S. Trebst

We explore the nature of the quantum phase transition between a magnetically ordered state with collinear spin pattern and a gapless $Z_2$ spin liquid in the Heisenberg-Kitaev model. We construct a slave particle mean field theory for the…

Strongly Correlated Electrons · Physics 2013-05-30 Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

We measure by inelastic neutron scattering the spin excitation spectra as a function of applied magnetic field in the quantum spin-ladder material (C5H12N)2CuBr4. Discrete magnon modes at low fields in the quantum disordered phase and at…

Deconfined quantum critical points govern continuous quantum phase transitions at which fractionalized (deconfined) degrees of freedom emerge. Here we study dynamical signatures of the fractionalized excitations in a quantum magnet (the…

Strongly Correlated Electrons · Physics 2018-11-28 Nvsen Ma , Guang-Yu Sun , Yi-Zhuang You , Cenke Xu , Ashvin Vishwanath , Anders W. Sandvik , Zi Yang Meng

We present a detailed analysis of the Kitaev--Heisenberg model on a single hexagon. The energy spectra and spin--spin correlations obtained using exact diagonalisation indicate quantum phase transitions between antiferromagnetic and…

Strongly Correlated Electrons · Physics 2015-03-30 Dorota Gotfryd , Andrzej M. Oleś

The honeycomb magnet $\alpha-$RuCl$_3$ is a prime candidate material for realizing the Kitaev quantum spin liquid (QSL), but it shows long-range magnetic order at low temperature. Nevertheless, its broad inelastic neutron scattering (INS)…

Strongly Correlated Electrons · Physics 2022-11-23 Oliver Franke , Dumitru Călugăru , Andreas Nunnenkamp , Johannes Knolle

We theoretically study THz-light-driven high-harmonic generation (HHG) in the spin-liquid states of the Kitaev honeycomb model with a magnetostriction coupling between spin and electric polarization. To compute the HHG spectra, we…

Strongly Correlated Electrons · Physics 2021-08-04 Minoru Kanega , Tatsuhiko N. Ikeda , Masahiro Sato

Frustrated quantum magnets may exhibit fascinating collective phenomena. The main goal of this dissertation is to provide conclusive evidence for the emergence of novel phases of matter like quantum spin liquids in local quantum spin…

Strongly Correlated Electrons · Physics 2022-10-10 Alexander Wietek

There have been substantial recent efforts, both experimentally and theoretically, to find a material realization of the Kitaev spin-liquid--the ground state of the exactly solvable Kitaev model on the honeycomb lattice. Candidate materials…

Strongly Correlated Electrons · Physics 2023-07-12 Tessa Cookmeyer , Joel E. Moore

The Kitaev honeycomb model (KHM) consists of spin-$1/2$ particles on a honeycomb lattice with direction-dependent Ising-like interactions. It can alternatively be described in terms of non-interacting Majorana fermions, can be solved…

Strongly Correlated Electrons · Physics 2025-07-10 Alexander Sattler , Maria Daghofer

Topological states of matter such as quantum spin liquids (QSLs) are of great interest because of their remarkable predicted properties including protection of quantum information and the emergence of Majorana fermions. Such QSLs, however,…

Unambiguous identification of the Kitaev quantum spin liquid (QSL) in materials remains a huge challenge despite many encouraging signs from various measurements. To facilitate the experimental detection of the Kitaev QSL, here we propose…

Strongly Correlated Electrons · Physics 2023-05-24 Saikat Banerjee , Shi-Zeng Lin

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

Emergent fluxes play a central role in the low-energy properties of quantum spin liquids (QSLs), where they encode the underlying gauge structure and fractionalization of spins. Here, we show that the quadrupole moment of magnetic…

Strongly Correlated Electrons · Physics 2026-04-21 Masahiro O. Takahashi , Wen-Han Kao , Satoshi Fujimoto , Natalia B. Perkins

The honeycomb $K-\Gamma$ model is known to have both deconfined spin liquid and confined phases. We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. By…

Strongly Correlated Electrons · Physics 2019-03-13 Gideon Wachtel , Dror Orgad

We investigate the non-Abelian topological chiral spin liquid phase in the two-dimensional (2D) Kitaev honeycomb model subject to a magnetic field. By combining density matrix renormalization group (DMRG) and exact diagonalization (ED) we…

Strongly Correlated Electrons · Physics 2018-06-27 Zheng Zhu , Itamar Kimchi , D. N. Sheng , Liang Fu

Kitaev's honeycomb-lattice compass model describes a spin liquid with emergent fractionalized excitations. Here we study the physics of isolated magnetic impurities coupled to the Kitaev spin-liquid host. We reformulate this Kondo-type…

Strongly Correlated Electrons · Physics 2016-07-14 Matthias Vojta , Andrew K. Mitchell , Fabian Zschocke

We present the electron tunneling transport and spectroscopic characters of a superconducting {\it Josephson} junction with a barrier of single anisotropic Kitaev quantum spin liquid (QSL) layer. We find that the dynamical spin correlation…

Strongly Correlated Electrons · Physics 2022-03-10 Shi-Qing Jia , Ya-Min Quan , Hai-Qing Lin , Liang-Jian Zou

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

Strongly Correlated Electrons · Physics 2026-01-29 A. R. Moura , L. V. Santos

Spin liquids may host emergent quasiparticles, collective excitations of the spin degrees of freedom with characteristic features of Majorana fermions, which experimentally are detectable by broad excitation continua due to spin…

Strongly Correlated Electrons · Physics 2019-09-18 S. Reschke , V. Tsurkan , S. -H. Do , K. -Y. Choi , P. Lunkenheimer , Zhe Wang , A. Loidl