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We study the phase diagram of a one-dimensional version of the Kitaev spin-1/2 model with an extra ``$\Gamma$-term", using analytical, density matrix renormalization group and exact diagonalization methods. Two intriguing phases are found.…

Strongly Correlated Electrons · Physics 2020-04-15 Wang Yang , Alberto Nocera , Tarun Tummuru , Hae-Young Kee , Ian Affleck

By exploiting density-matrix renormalization group techniques, we investigate the dynamical spin structure factor of a spin-1/2 Heisenberg chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange…

Strongly Correlated Electrons · Physics 2015-07-17 Hiroaki Onishi

The $KJ\Gamma\Gamma'$ spin model-originally derived for an ideal $P\bar{3}1m$ symmetric geometry-has long served as a central framework for understanding candidate Kitaev materials. In realistic crystals, however, this ideal geometry is…

Strongly Correlated Electrons · Physics 2025-06-02 Pureum Noh , Hyunggeun Lee , Myung Joon Han , Eun-Gook Moon

We point out that the Kitaev materials may not necessarily support Kitaev spin liquid. It is well-known that having a Kitaev term in the spin interaction is not the sufficient condition for the Kitaev spin liquid ground state. Many other…

Strongly Correlated Electrons · Physics 2019-05-22 Yao Dong Li , Xu Yang , Yi Zhou , Gang Chen

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 study an open quantum spin chain with non-reciprocal dissipation using a theoretical approach known as time-dependent generalized Gibbs ensemble. In the regime of weak dissipation the system is fully characterized by its rapidity…

Quantum Physics · Physics 2026-01-14 Alice Marché , Hironobu Yoshida , Alberto Nardin , Hosho Katsura , Leonardo Mazza

We study the Kitaev spin ladder with random couplings by using the real-space renormalization group technique. This model is the minimum model in Kitaev systems that has conserved plaquette fluxes, and its quasi-one-dimensional geometry…

Strongly Correlated Electrons · Physics 2022-09-21 Wen-Han Kao , Natalia B. Perkins

The higher spin Kitaev model prominently features the extensive locally conserved quantities the same as the spin-$1/2$ Kitaev honeycomb model, although it is not exactly solvable. It remains an open question regarding the physical meaning…

Strongly Correlated Electrons · Physics 2023-04-17 Han Ma

We developed general approach to the calculation of power-law infrared asymptotics of spin-spin correlation functions in the Kitaev honeycomb model with different types of perturbations. We have shown that in order to find these correlation…

Strongly Correlated Electrons · Physics 2019-06-27 A. V. Lunkin , K. S. Tikhonov , M. V. Feigel'man

The dynamical structure factor of the S=1/2 bond-alternating spin chain with a next-nearest-neighbor interaction in magnetic field is investigated using the continued fraction method based on the Lanczos algorithm. When the plateau exists…

Strongly Correlated Electrons · Physics 2009-10-31 Mamoru Usami , Sei-ichiro Suga

The Kitaev model offers a platform for quantum spin liquids (QSLs) with fractional excitations, itinerant Majorana fermions and localized fluxes. Since these fractional excitations could be utilized for quantum computing, how to create,…

Strongly Correlated Electrons · Physics 2023-09-19 Takahiro Misawa , Joji Nasu , Yukitoshi Motome

The spin-1/2 quantum anisotropic XY spin chain in a transverse random magnetic field parallel to the z axis is numerically studied by means of the density-matrix renormalization group. The dependence of the spontaneous magnetization and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Juozapavicius , L. Urba , S. Caprara , A. Rosengren

We construct a microscopic spin-exchange Hamiltonian for the quasi-1D Ising magnet CoNb$_2$O$_6$ that captures detailed and hitherto-unexplained aspects of its dynamic spin structure factor. We perform a symmetry analysis that recalls that…

Strongly Correlated Electrons · Physics 2020-10-26 Michele Fava , Radu Coldea , S. A. Parameswaran

Co$^{2+}$ ions in an octahedral crystal field, stabilise a j$_{eff}$ = 1/2 ground state with an orbital degree of freedom and have been recently put forward for realising Kitaev interactions, a prediction we have tested by investigating…

We investigate the fate of the Kitaev spin liquid (KSL) under the influence of an external magnetic field $h$ in the [001] direction and upon tuning bond anisotropy of the Kitaev coupling $K_z$ keeping $K_x = K_y = K$. Guided by density…

Strongly Correlated Electrons · Physics 2024-03-19 Shi Feng , Adhip Agarwala , Nandini Trivedi

The realization of Kitaev's honeycomb magnetic model in real materials has become one of the most pursued topics in condensed matter physics and materials science. If found, it is expected to host exotic quantum phases of matter and offers…

Strongly Correlated Electrons · Physics 2021-12-08 Chaebin Kim , Heung-Sik Kim , Je-Geun Park

We perform a theoretical study of a non-collinear Ising ferrimagnetic spin chain inspired by the compound Co(hfac)2NITPhOMe. The basic building block of its structure contains one Cobalt ion and one organic radical each with a spin 1/2. The…

Materials Science · Physics 2009-11-10 A Vindigni , N Regnault , Th Jolicoeur

We give an exact form of the density matrix of the spin-1/2 Kitaev spin liquid represented in terms of spin operators and study the entanglement structures of the Kitaev honeycomb model within the spin framework. We show that the density…

Strongly Correlated Electrons · Physics 2026-05-19 Chen-Chih Wang , Yi-Ping Huang , Sungkit Yip

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

Higher-spin quantum magnets with competing interactions offer a rich platform for exploring quantum phases that transcend the paradigms of spin-1/2 systems, owing to their enlarged local Hilbert spaces and the emergence of multipolar…

Strongly Correlated Electrons · Physics 2025-12-23 Zhiling Wei , Zhengzhong Du , Xiaodong Cao , Wen-Long You , Yi Lu