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We study the consequences of disorder in the Kitaev honeycomb model, considering both site dilution and exchange randomness. We show that a single vacancy binds a flux and induces a local moment. This moment is polarised by an applied field…

强关联电子 · 物理学 2010-06-23 A. J. Willans , J. T. Chalker , R. Moessner

Quantum circuit dynamics with local projective measurements can realize a rich spectrum of entangled states of quantum matter. Motivated by the physics of the Kitaev quantum spin liquid [1], we study quantum circuit dynamics in…

强关联电子 · 物理学 2022-07-08 Ali Lavasani , Zhu-Xi Luo , Sagar Vijay

We study the effect of bond disorder in extended Heisenberg-Kitaev models on the honeycomb lattice, relevant for materials such as $\alpha$-RuCl$_3$, in the semiclassical limit using a combination of T-matrix and real-space spin-wave…

强关联电子 · 物理学 2024-11-27 Georgia Fragkopoulou , Matthias Vojta

The Kitaev quantum spin liquid (KSL) is a theoretically predicted state of matter whose fractionalized quasiparticles are distinct from bosonic magnons, the fundamental excitation in ordered magnets. The layered honeycomb antiferromagnet…

The interplay among anisotropic magnetic terms, such as the bond-dependent Kitaev interactions and single-ion anisotropy, plays a key role in stabilizing the finite-temperature ferromagnetism in the two-dimensional compound $\rm{CrSiTe_3}$.…

强关联电子 · 物理学 2022-01-05 Zongsheng Zhou , Ken Chen , Qiang Luo , Hong-Gang Luo , Jize Zhao

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

强关联电子 · 物理学 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

We investigate the ground-state and finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a honeycomb lattice with frustrated nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by the…

强关联电子 · 物理学 2018-10-24 Kazuki Uematsu , Hikaru Kawamura

Recently, the Kitaev-Heisenberg-$\Gamma$ system has been used to explore various aspects of Kitaev spin liquid physics. Here, we consider a few small clusters of up to twelve sites and study them in detail to unravel many interesting…

强关联电子 · 物理学 2025-02-27 Sheikh Moonsun Pervez , Saptarshi Mandal

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,…

强关联电子 · 物理学 2023-09-19 Takahiro Misawa , Joji Nasu , Yukitoshi Motome

We study the interplay of disorder and Heisenberg interactions in Kitaev model on honeycomb lattice. The effect of disorder on the transition between Kitaev spin liquid and magnetic ordered states as well as the stability of magnetic…

强关联电子 · 物理学 2023-04-13 Ayushi Singhania , Jeroen van den Brink , Satoshi Nishimoto

We analyze the Physics of cold atoms in honeycomb optical lattices with on-site repulsion and spin-orbit couplings that break time reversal symmetry. Such systems, at half filling and large on-site repulsion, have been proposed as a…

强关联电子 · 物理学 2013-11-15 S. R. Hassan , Sandeep K Goyal , R. Shankar , David Sénéchal

We study the ground state of the 1D Kitaev-Heisenberg (KH) model using the density-matrix renormalization group and Lanczos exact diagonalization methods. We obtain a rich ground-state phase diagram as a function of the ratio between…

强关联电子 · 物理学 2018-02-02 Cliò Efthimia Agrapidis , Jeroen van den Brink , Satoshi Nishimoto

The ground state fidelity per lattice site is shown to be able to detect quantum phase transitions for the Kitaev model on the honeycomb lattice, a prototypical example of quantum lattice systems with topological order. It is found that, in…

强关联电子 · 物理学 2008-03-07 Jian-Hui Zhao , Huan-Qiang Zhou

The electromagnetic characteristics of bilayer quantum Hall systems in the presence of interlayer coherence and tunneling are studied by means of a pseudospin-texture effective theory and an algebraic framework of the single-mode…

介观与纳米尺度物理 · 物理学 2009-11-10 K. Shizuya

We introduce a matrix-product state based method to efficiently obtain dynamical response functions for two-dimensional microscopic Hamiltonians, which we apply to different phases of the Kitaev-Heisenberg model. We find significant broad…

强关联电子 · 物理学 2017-10-18 Matthias Gohlke , Ruben Verresen , Roderich Moessner , Frank Pollmann

Contrary to the original expectation, Na$_2$IrO$_3$ is not a Kitaev's quantum spin liquid (QSL) but shows a zig-zag-type antiferromagnetic order in experiments. Here we propose experimental clues and criteria to measure how a material in…

The advent of twisted moir\'e heterostructures as a playground for strongly correlated electron physics has led to a plethora of experimental and theoretical efforts seeking to unravel the nature of the emergent superconducting and…

强关联电子 · 物理学 2022-05-06 Dominik Kiese , Yuchi He , Ciarán Hickey , Angel Rubio , Dante M. Kennes

Motivated by recent reports of a field-induced intermediate phase (IP) in the antiferromagnetic honeycomb Kitaev model that may be a spin liquid whose nature is distinct from the Kitaev Z2 phase, we present a detailed numerical study on the…

强关联电子 · 物理学 2019-11-11 David A. S. Kaib , Stephen M. Winter , Roser Valenti

We present a general classification of the perturbations to the Kitaev model on the basis of their effect on it's spin correlation functions. We derive a necessary and sufficient condition for the spin correlators to exhibit a long ranged…

强关联电子 · 物理学 2015-05-20 S. Mandal , Subhro Bhattacharjee , K. Sengupta , R. Shankar , G. Baskaran

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

强关联电子 · 物理学 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim