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This pedagogical article is aimed to the beginning graduate students interested in broad field of frustrated magnetism. We introduce and present some of the exact results obtained in Kitaev model. The Kitaev model embodies an unusual two…

Strongly Correlated Electrons · Physics 2020-06-23 Saptarshi Mandal , Arun M Jayannavar

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,…

We explore the salient features of the `Kitaev ladder', a two-legged ladder version of the spin-1/2 Kitaev model on a honeycomb lattice, by mapping it to a one-dimensional fermionic p-wave superconducting system. We examine the connections…

Strongly Correlated Electrons · Physics 2015-05-27 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

In this work, we investigate the Kitaev honeycomb model employing the recently developed Clifford Circuits Augmented Matrix Product States (CAMPS) method. While the model in the gapped phase is known to reduce to the toric code model -…

Strongly Correlated Electrons · Physics 2025-11-26 Xiang Li , Xiangjian Qian , Mingpu Qin

We introduce a density matrix-based network analysis to explore the ground state of the Kitaev chain, uncovering previously hidden structural and entanglement features. This approach successfully identifies the critical point associated…

Quantum Physics · Physics 2025-11-26 Guillem Llodrà , Roberta Zambrini , Gian Luca Giorgi

We present a general computational framework to investigate ground state properties of quantum spin models on infinite two-dimensional lattices using automatic differentiation-based gradient optimization of infinite projected entangled-pair…

Computational Physics · Physics 2023-08-08 Xing-Yu Zhang , Shuang Liang , Hai-Jun Liao , Wei Li , Lei Wang

Unambiguous identification of fractionalized excitations in quantum spin liquids has been a long-standing issue in correlated topological phases. Conventional spectroscopic probes, such as the dynamical spin structure factor, can only…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Ki Hoon Lee , Yong Baek Kim

We show that networks of topological nanowires can realize the physics of exactly solvable Kitaev spin models with two-body interactions. This connection arises from the description of the low-energy theory of both systems in terms of a…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 Graham Kells , Ville Lahtinen , Jiri Vala

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

Strongly Correlated Electrons · Physics 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

We report the synthesis and properties of (H,Li)$_{6}$Ru$_{2}$O$_{6}$, which is shown to be a $J_{\text{eff}}=\frac{1}{2}$ system made out of Ru$^{3+}$ moments in a honeycomb geometry. Bulk magnetization, heat capacity, nuclear magnetic…

Strongly Correlated Electrons · Physics 2025-02-06 Sanjay Bachhar , M. Baenitz , Hubertus Luetkens , John Wilkinson , Sumiran Pujari , A. V. Mahajan

We study the excitation spectrum of the spin-1 Kitaev model using the symmetric tensor network. By evaluating the virtual order parameters defined on the virtual Hilbert space in the tensor network formalism, we confirm the ground state is…

Strongly Correlated Electrons · Physics 2023-04-07 Yu-Hsueh Chen , Jozef Genzor , Yong Baek Kim , Ying-Jer Kao

In this letter, we propose a local detection scheme for the Majorana zero mode (MZM) carried by a vison in Kitaev's chiral spin liquid (CSL) using scanning tunneling microscopy (STM). The STM introduces a single Majorana into the system…

Strongly Correlated Electrons · Physics 2021-03-26 Masafumi Udagawa , Shintaro Takayoshi , Takashi Oka

Despite rapid progress in understanding gapped topological states, much less is known about gapless topological phases of matter, especially in strongly correlated electrons. In this work we discuss a large class of robust gapless quantum…

Strongly Correlated Electrons · Physics 2018-03-23 Yuan-Ming Lu

The bond-dependent Kitaev interaction $K$ is familiar in the effective spin model of transition metal compounds with octahedral ligands. In this work, we find a peculiar non-coplanar magnetic order can be formed with the help of $K$ and…

Strongly Correlated Electrons · Physics 2024-06-04 Linli Bai , Ken Chen

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3].…

Strongly Correlated Electrons · Physics 2014-05-26 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

We develop an exactly solvable model with Kitaev-type interactions and study its phase diagram on the dual lattice of the quasicrystalline Ammann-Beenker lattice. Our construction is based on the $\Gamma$-matrix generalization of the Kitaev…

Strongly Correlated Electrons · Physics 2024-11-05 M. A. Keskiner , O. Erten , M. Ö. Oktel

The authors of a recent paper evidently take the view that the whole of progress made toward a theoretical understanding of the physics of quantum spin liquids (QSL) is associated with models of the kind proposed and applied in their…

Recently there has been a renewed interest in properties of the higher-spin Kitaev models, especially their low-dimensional analogues with additional interactions. These quasi-1D systems exhibit rich phase diagrams with symmetry-protected…

Strongly Correlated Electrons · Physics 2022-04-12 Jacob S. Gordon , Hae-Young Kee

Gapped Z_2 spin liquids have been proposed as candidates for the ground-state of the S=1/2 quantum antiferromagnet on the Kagome lattice. We extend the use of Projected Entangled Pair States to construct (on the cylinder)Resonating Valence…

Strongly Correlated Electrons · Physics 2013-05-14 Didier Poilblanc , Norbert Schuch

We propose a planar tunneling setup to probe vacancy-bound Majorana modes in the chiral Kitaev spin liquid. In this geometry, the inelastic tunneling conductance can be expressed directly in terms of real-space spin correlations,…

Strongly Correlated Electrons · Physics 2026-02-17 Weiyao Li , Vitor Dantas , Wen-Han Kao , Natalia B. Perkins
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