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Related papers: Site dilution in Kitaev's honeycomb model

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We study the Kitaev-Heisenberg model with spin-1 local degree of freedom on a two-dimensional honeycomb lattice numerically by density matrix renormalization group method. By tuning the relative value of the Kitaev and Heisenberg exchange…

Strongly Correlated Electrons · Physics 2020-09-16 Xiao-Yu Dong , D. N. Sheng

We study the entanglement properties of a three dimensional generalization of the Kitaev honeycomb model proposed by Ryu [Phys. Rev. B 79, 075124, (2009)]. The entanglement entropy in this model separates into a contribution from a $Z_2$…

Statistical Mechanics · Physics 2015-06-22 Ian Mondragon-Shem , Taylor L. Hughes

We study the impact of hole-doping on the Kitaev-Heisenberg model on the honeycomb lattice. We investigate the pairing tendencies and correlation functions in the framework of a $t-J-K$ model using density matrix renormalization group…

Strongly Correlated Electrons · Physics 2025-01-15 Pontus Laurell , Bradraj Pandey , Gábor B. Halász , Satoshi Okamoto , Gonzalo Alvarez , Elbio Dagotto

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

Effects of bond randomness and site dilution are systematically investigated for the Kitaev model describing a quantum spin liquid with fractional excitations of itinerant Majorana fermions and localized fluxes. We find that, in the…

Strongly Correlated Electrons · Physics 2020-09-02 Joji Nasu , Yukitoshi Motome

The excitations in the Kitaev spin liquid (KSL) can be described by Majorana fermions, which have characteristic field dependence of bulk gap and topological edge modes. In the high-field state of layered honeycomb magnet $\alpha$-RuCl$_3$,…

Strongly Correlated Electrons · Physics 2024-03-13 K. Imamura , Y. Mizukami , O. Tanaka , R. Grasset , M. Konczykowski , N. Kurita , H. Tanaka , Y. Matsuda , M. G. Yamada , K. Hashimoto , T. Shibauchi

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

Strongly Correlated Electrons · Physics 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

In extended Kitaev models on the honeycomb lattice, off-diagonal interactions (e.g. the $\Gamma, \Gamma^{'}$ terms) give rise to non-Kitaev quantum spin liquid (QSL) and several magnetically ordered phases. In the present work, we dope…

Strongly Correlated Electrons · Physics 2021-09-14 Su-Ming Zhang , Zheng-Xin Liu

We present a study of longitudinal thermal transport in the Kitaev spin model on the honeycomb lattice, focusing on the role of anisotropic exchange to cover both, gapless and gapped phases. Employing a complementary combination of exact…

Strongly Correlated Electrons · Physics 2019-02-21 Angelo Pidatella , Alexandros Metavitsiadis , Wolfram Brenig

We demonstrate that a nonzero concentration $n_v$ of static, randomly-placed vacancies in graphene leads to a density $w$ of zero-energy quasiparticle states at the band-center $\epsilon=0$ within a tight-binding description with…

Strongly Correlated Electrons · Physics 2016-12-21 Sambuddha Sanyal , Kedar Damle , Olexei I. Motrunich

We study the reduced fidelity and reduced fidelity susceptibility in the Kitaev honeycomb model. It is shown that the reduced fidelity susceptibility of two nearest site manifest itself a peak at the quantum phase transition point, although…

Strongly Correlated Electrons · Physics 2010-07-29 Zhi Wang , Tianxing Ma , Shi-Jian Gu , Hai-Qing Lin

We study the dynamical response of vacancy-induced quasiparticle excitations in the site-diluted Kitaev spin liquid with a magnetic field. Due to the flux-binding effect and the emergence of dangling Majorana fermions around each spin…

Strongly Correlated Electrons · Physics 2023-10-12 Wen-Han Kao , Gábor B. Halász , Natalia B. Perkins

The Kitaev honeycomb model provides a paradigmatic example of an exactly solvable quantum spin liquid (QSL), in which the spin degrees of freedom fractionalize into itinerant Majorana fermions coupled to a static background of…

Strongly Correlated Electrons · Physics 2024-06-28 Vitor Dantas , Wen-Han Kao , Natalia B. Perkins

The honeycomb Kitaev model describes a $Z_2$ spin liquid with topological order and fractionalized excitations consisting of gapped $\pi$-fluxes and free Majorana fermions. Competing interactions, even when not very strong, are known to…

Strongly Correlated Electrons · Physics 2025-01-14 Jagannath Das , Sarbajaya Kundu , Aman Kumar , Vikram Tripathi

We develop a new method to construct simple and explicit variational approximations for the ground state of Kitaev's honeycomb model with a non-trivial Z2 flux configuration consisting of a pair of visons on neighbouring plaquettes. The…

Strongly Correlated Electrons · Physics 2025-12-02 T. Grace , A. Principi

At zero temperature, two-site dynamical mean field theory is applied to the Dynamic Hubbard model. The Dynamic Hubbard model describes the orbital relaxation that occurs when two electrons occupy the same site, by using a two-level boson…

Strongly Correlated Electrons · Physics 2010-12-16 G. Bach , J. E. Hirsch , F. Marsiglio

We analyse in detail the effect of non-trivial band topology on the area law behaviour of the entanglement entropy in Kitaev's honeycomb model. By mapping the translationally invariant 2D spin model into 1D fermionic subsystems, we identify…

Strongly Correlated Electrons · Physics 2016-10-05 Konstantinos Meichanetzidis , Mauro Cirio , Jiannis K. Pachos , Ville Lahtinen

We show that the zero temperature phase diagram of the vortex free sector of the Kitaev model is in one to one correspondence with that of the classical dimer model on the same lattice. We find that the model generically has three distinct…

Strongly Correlated Electrons · Physics 2009-04-22 Charles Nash , Denjoe O'Connor

The relaxation dynamics of the Kitaev honeycomb model under a thermal quench is dominated by the quasi-stochastic diffusion and pair annihilation of visions, which are gapped flux excitations of an emergent $\mathbb{Z}_2$ gauge field of the…

Strongly Correlated Electrons · Physics 2025-07-08 Yang Yang , Gia-Wei Chern