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We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

强关联电子 · 物理学 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

We extend the formulation of the spin wave theory for the Kondo lattice model, which was mainly used for the ferromagnetic metallic state, to general magnetic orders including complex noncollinear and noncoplanar orders. The 1/S expansion…

强关联电子 · 物理学 2015-04-23 Yutaka Akagi , Masafumi Udagawa , Yukitoshi Motome

The search for Kitaev quantum spin liquids (Kitaev-QSLs) in real materials has mainly focused on $4d$- and $5d$-electron honeycomb systems. A recent experimental study on the $4f^5$ honeycomb iodide $\mathrm{SmI}_3$ reported the absence of…

强关联电子 · 物理学 2025-09-09 Li-Hao Xia , Yi-Peng Gao , Zhao-Yang Dong , Jian-Xin Li

Topological order, reflected in long range patterns of entanglement, is quantified by the topological entanglement entropy (TEE) $\gamma$. We show that for gapped quantum spin liquids (QSL) it is possible to extract $\gamma$ using two-spin…

强关联电子 · 物理学 2022-10-17 Shi Feng , Yanjun He , Nandini Trivedi

There have been substantial recent efforts, both experimentally and theoretically, to find a material realization of the Kitaev spin-liquid--the ground state of the exactly solvable Kitaev model on the honeycomb lattice. Candidate materials…

强关联电子 · 物理学 2023-07-12 Tessa Cookmeyer , Joel E. Moore

We show that ultracold polar molecules pinned in an optical lattice can be used to access a variety of exotic spin models, including the Kitaev honeycomb model. Treating each molecule as a rigid rotor, we use DC electric and microwave…

量子气体 · 物理学 2015-06-12 Alexey V. Gorshkov , Kaden R. A. Hazzard , Ana Maria Rey

Kitaev's compass model on the honeycomb lattice realizes a spin liquid whose emergent excitations are dispersive Majorana fermions and static Z_2 gauge fluxes. We discuss the proper selection of physical states for finite-size simulations…

强关联电子 · 物理学 2015-07-08 Fabian Zschocke , Matthias Vojta

Noncollinear and noncoplanar magnetic textures including skyrmions and vortices act as emergent electromagnetic fields and give rise to novel electronic and transport properties. We here report a unified understanding of noncoplanar…

强关联电子 · 物理学 2017-06-28 Satoru Hayami , Ryo Ozawa , Yukitoshi Motome

Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_\chi$ in…

强关联电子 · 物理学 2022-09-07 Fabrizio Oliviero , João Augusto Sobral , Eric C. Andrade , Rodrigo G. Pereira

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…

强关联电子 · 物理学 2024-06-28 Vitor Dantas , Wen-Han Kao , Natalia B. Perkins

We study quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid and the…

强关联电子 · 物理学 2018-09-12 Joji Nasu , Yasuyuki Kato , Yoshitomo Kamiya , Yukitoshi Motome

We present a unified description of the response of the hyperhoneycomb Kitaev magnet $\beta$-$\text{Li}_2\text{IrO}_3$ to applied magnetic fields along the orthorhombic directions ${\bf a}$, ${\bf b}$ and ${\bf c}$. This description is…

强关联电子 · 物理学 2020-01-28 Mengqun Li , Ioannis Rousochatzakis , Natalia B. Perkins

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…

强关联电子 · 物理学 2019-06-27 A. V. Lunkin , K. S. Tikhonov , M. V. Feigel'man

We study the Kondo lattice model of band electrons coupled to classical spins, in three dimensions, using a combination of variational calculation and Monte Carlo. We use the weak coupling `RKKY' window and the strong coupling regime as…

强关联电子 · 物理学 2009-11-13 Kalpataru Pradhan , Pinaki Majumdar

Recently, the family of rare-earth chalcohalides were proposed as candidate compounds to realize the Kitaev spin liquid (KSL). In the present work, we firstly propose an effective spin Hamiltonian consistents with the symmetry group of the…

The exactly-solvable Kitaev model of two-dimensional honeycomb magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic…

Na$_2$IrO$_3$, a honeycomb 5$d^5$ oxide, has been recently identified as a potential realization of the Kitaev spin lattice. The basic feature of this spin model is that for each of the three metal-metal links emerging out of a metal site,…

The physics of spin-orbit entangled magnetic moments of $4d$ and $5d$ transition metal ions on a honeycomb lattice has been much explored in search for unconventional magnetic orders or quantum spin liquids expected for compass spin models,…

We have studied the anti-ferromagnetic Kitaev model on a honeycomb lattice under the Zeeman field, using an extensive Majorana mean-field analysis. When the magnetic field is along a specific Cartesian axis, we find that the emergent fields…

强关联电子 · 物理学 2026-03-04 Sheikh Moonsun Pervez

Topologically ordered states of matter are generically characterized by excitations with quantum number fractionalization. A prime example is the spin liquid realized in Kitaev's honeycomb-lattice compass model where spin-flip excitations…

强关联电子 · 物理学 2018-11-12 C. Wellm , J. Zeisner , A. Alfonsov , A. U. B. Wolter , M. Roslova , A. Isaeva , T. Doert , M. Vojta , B. Büchner , V. Kataev
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