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Related papers: Valence bond fluctuations in the Kitaev spin model

200 papers

In this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC)…

Strongly Correlated Electrons · Physics 2009-05-06 Zahra Nourbakhsh , Farhad Shahbazi , S. A. Jafari , G. Baskaran

It is emphasized that quantum entanglement determined in terms of the von Neumann entropy operator is a stochastic quantity and, therefore, can fluctuate. The rms fluctuations of the entanglement entropy of two-qubit systems in both pure…

Quantum Physics · Physics 2015-05-14 E. B. Fel'dman , M. A. Yurishchev

Using a series expansion based on the flow-equation method we study the ground state energy and the elementary triplet excitations of a generalized model of crossed spin-1/2 chains starting from the limit of decoupled quadrumers. The…

Strongly Correlated Electrons · Physics 2009-11-10 Wolfram Brenig , Matthias Grzeschik

The entanglement and quantum correlation measures have been investigated for the ground state of a spin chain with a Kitaev-type exchange interactions on alternating bonds, along with a transverse magnetic field. There is a macroscopic…

Quantum Physics · Physics 2018-11-14 Vimalesh Kumar Vimal , V. Subrahmanyam

We compute the low-energy excitation spectrum and the dynamical spin structure factor of the Kitaev-Heisenberg-Gamma model through a variational approach based on the exact fractionalized excitations of the pure Kitaev honeycomb model. This…

Strongly Correlated Electrons · Physics 2021-07-21 Shang-Shun Zhang , Gábor B. Halász , Wei Zhu , Cristian D. Batista

We study valence fluctuations at finite temperatures in the extended periodic Anderson model, where the Coulomb interaction between conduction and localized $f$-electrons is taken into account, using dynamical mean-field theory combined…

Strongly Correlated Electrons · Physics 2016-02-17 Ryu Shinzaki , Joji Nasu , Akihisa Koga

We theoretically address spin chain analogs of the Kitaev quantum spin model on the honeycomb lattice. The emergent quantum spin liquid phases or Anderson resonating valence bond (RVB) states can be understood, as an effective model, in…

Strongly Correlated Electrons · Physics 2017-11-15 Karyn Le Hur , Ariane Soret , Fan Yang

We numerically study the quantum phase transitions and the stability of Majorana zero modes in a generalized Kitaev model in one dimension when the chemical potential is periodically modulating in space. By using the exact diagonalization…

Statistical Mechanics · Physics 2016-06-17 Takumi Ohta , Keisuke Totsuka

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

We investigate the phase diagram of a bilayer Kitaev honeycomb model with Ising interlayer interactions, deriving effective models via perturbation theory and performing Majorana mean-field theory calculations. We show that a diverse array…

Strongly Correlated Electrons · Physics 2024-04-30 Aayush Vijayvargia , Urban F. P. Seifert , Onur Erten

We explore the phase diagram of the Kitaev-Heisenberg model with nearest neighbor interactions on the honeycomb lattice using the exact diagonalization of finite systems combined with the cluster mean field approximation, and supplemented…

Strongly Correlated Electrons · Physics 2017-02-01 Dorota Gotfryd , Juraj Rusnačko , Krzysztof Wohlfeld , George Jackeli , Jiří Chaloupka , Andrzej M. Oleś

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 present a direct comparison of the recently-proposed valence bond entanglement entropy and the von Neumann entanglement entropy on spin 1/2 Heisenberg systems using quantum Monte Carlo and density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2009-09-14 Ann B. Kallin , Ivan Gonzalez , Matthew B. Hastings , Roger G. Melko

We study the higher-order topological spin phases based on a spin analogue of Benalcazar-Bernevig-Hughes model in two dimensions using large-scale quantum Monte Carlo simulations. A continuous N\'eel-valence bond solid quantum phase…

Strongly Correlated Electrons · Physics 2021-11-11 Jiaojiao Guo , Junsong Sun , Xingchuan Zhu , Chang-An Li , Huaiming Guo , Shiping Feng

The spin-1/2 Heisenberg kagome antiferromagnet is one of the paradigmatic playgrounds for frustrated quantum magnetism, with an extensive number of competing resonating valence bond (RVB) states emerging at low energies, including gapped…

Strongly Correlated Electrons · Physics 2020-08-10 Yang Yang , Natalia B. Perkins , Fulya Koç , Chi-Huei Lin , Ioannis Rousochatzakis

We study a (1+1)-dimensional quantum circuit consisting of Haar-random unitary gates and projective measurements that conserve a total $U(1)$ charge and thus have $U(1)$ symmetry. In addition to a measurement-induced entanglement transition…

Disordered Systems and Neural Networks · Physics 2023-01-31 Hisanori Oshima , Yohei Fuji

We investigate the quantum phases of higher-spin Kitaev models using tensor network methods. Our results reveal distinct bond-ordered phases for spin-1, spin-$\tfrac{3}{2}$, and spin-2 models. In all cases, we find translational symmetry…

Strongly Correlated Electrons · Physics 2025-11-11 Xing-Yu Zhang , Qi Yang , Philippe Corboz , Jutho Haegeman , Yuchi He

Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin analogues of the Kitaev interactions may also…

Strongly Correlated Electrons · Physics 2021-02-24 Ilia Khait , P. Peter Stavropoulos , Hae-Young Kee , Yong Baek Kim

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order…

Strongly Correlated Electrons · Physics 2018-03-22 Maria Hermanns , Itamar Kimchi , Johannes Knolle

We introduce a quantum information method for measuring fractional charges in ballistic quantum wires generalizing bipartite fluctuations to the chiral quasiparticles in Luttinger liquids, i.e. analyzing and summing charge and current…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Magali Korolev , Karyn Le Hur