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We report the magnetic properties in the Co- and Zn-doped spin-1/2 honeycomb-lattice compound In$_3$Cu$_2$VO$_9$. The magnetic susceptibility and specific heat experiments show no long-range ordering down to 2 K in In$_3$Cu$_2$VO$_9$. In…

Strongly Correlated Electrons · Physics 2012-06-05 Y. J. Yan , Z. Y. Li , T. Zhang , X. G. Luo , G. J. Ye , Z. J. Xiang , P. Cheng , Liang-Jian Zou , X. H. Chen

The energy structure of an anisotropically interacting Kitaev model on a honeycomb lattice under triaxial strain is investigated. A numerical calculation shows that quantized states appear in the low-energy region, even when the anisotropy…

Strongly Correlated Electrons · Physics 2023-12-18 Takuto Yamada , Sei-ichiro Suga

We study the effects of the flux configurations on the emergent Majorana fermions in the $S=1/2$ Kitaev model on a honeycomb lattice, where quantum spins are fractionalized into itinerant Majorana fermions and localized fluxes. A quantum…

Strongly Correlated Electrons · Physics 2021-06-16 Akihisa Koga , Yuta Murakami , Joji Nasu

The family of edge-sharing tri-coordinated iridates and ruthenates has emerged in recent years as a major platform for Kitaev spin liquid physics, where spins fractionalize into emergent magnetic fluxes and Majorana fermions with Dirac-like…

Lattice models with supersymmetry are known to exhibit a variety of remarkable properties that do not exist in the relativistic models. In this paper, we introduce an interacting generalization of the Kitaev chain of Majorana fermions with…

Strongly Correlated Electrons · Physics 2023-10-31 Urei Miura , Kenji Shimomura , Keisuke Totsuka

Motivated by recent experimental breakthroughs, we propose a strategy to design two-dimensional spin lattices with competing interactions that lead to non-trivial emergent quantum states. We consider $S=1/2$ nanographenes with $C_3$…

Mesoscale and Nanoscale Physics · Physics 2024-02-07 J. C. G. Henriques , Mar Ferri-Cortés , J. Fernández-Rossier

Phase diagram of a Hubbard model for Majorana fermions on the honeycomb lattice is explored using a combination of field theory, renormalization group and mean-field arguments, as well as exact numerical diagonalization. Unlike the…

Strongly Correlated Electrons · Physics 2018-09-18 Chengshu Li , Marcel Franz

Kondo impurities provide a nontrivial probe to unravel the character of the excitations of a quantum spin liquid. In the S=1/2 Kitaev model on the honeycomb lattice, Kondo impurities embedded in the spin-liquid host can be screened by…

Strongly Correlated Electrons · Physics 2023-11-21 S. Lee , Y. S. Choi , S. -H. Do , W. Lee , C. H. Lee , M. Lee , M. Vojta , C. N. Wang , H. Luetkens , Z. Guguchia , K. -Y. Choi

The hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet is studied by means of the linear spin-wave theory, the double-time temperature Green's function method, high-temperature expansions series analysis, and quantum Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-08-26 Maksym Parymuda , Taras Krokhmalskii , Oleg Derzhko

Single crystals of a honeycomb lattice antiferromagnet, Tb$_2$Ir$_3$Ga$_9$ were synthesized, and the physical properties have been studied. From magnetometry, a long-range antiferromagnetic ordering at $\approx$12.5 K with highly…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Mojammel A. Khan , Qiang Zhang , Jin-Ke Bao , Randy S. Fishman , Antia S. Botana , Y. Choi , G. Fabbris , D. Haskel , John Singleton , John F. Mitchell

We study the 3D Kitaev and Kitaev-Heisenberg models respectively on the hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the thermodynamic limit. Our analysis relies on advanced tensor network (TN)…

Strongly Correlated Electrons · Physics 2021-09-08 Saeed S. Jahromi , Hadi Yarloo , Roman Orus

It is shown that the charge susceptibility in nearly half-filled two-dimensional (2D) metals, with technically nested Fermi surface, shows anomaly at the wavevector different from that for the spin susceptibility at low temperatures. Namely…

Condensed Matter · Physics 2007-05-23 Kazumasa Miyake , Osamu Narikiyo

Spin liquid ground states are predicted to arise within several distinct scenarios in condensed matter physics. The observation of these disordered magnetic states is particularly pervasive amongst a class of materials known as frustrated…

Metastable states with surprising properties abound in Hilbert space. We study unfrustrated isotropic spin-\half Heisenberg models in honeycomb lattice and find emergence of \textit{metastable Kitaev spin liquids having a 2-spin nematic…

Strongly Correlated Electrons · Physics 2023-09-14 Ganapathy Baskaran

Low-energy degrees of freedom of a spin-1/2 kagome antiferromagnet in the vicinity of the saturation field are mapped to a hard-hexagon model on a triangular lattice. The latter model is exactly solvable. The presented mapping allows to…

Statistical Mechanics · Physics 2007-05-23 M. E. Zhitomirsky , Hirokazu Tsunetsugu

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…

Strongly Correlated Electrons · Physics 2023-07-12 Tessa Cookmeyer , Joel E. Moore

Artificial magnetic honeycomb lattices are expected to exhibit a broad and tunable range of novel magnetic phenomena that would be difficult to achieve in natural materials, such as long-range spin ice, entropy-driven magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 B. Summers , L. Debeer-Schmitt , A. Dahal , A. Glavic , P. Kampschroeder , J. Gunasekera , D. K. Singh

Higher-order topological insulators are distinguished by the existence of topologically protected modes with codimension two or higher. Here, we report the manifestation of a second-order topological insulator in a two dimensional…

Strongly Correlated Electrons · Physics 2018-09-03 Vatsal Dwivedi , Ciarán Hickey , Tim Eschmann , Simon Trebst

The Kitaev-Heisenberg model on the honeycomb lattice has been studied for the purpose of finding exotic states such as quantum spin liquid and topological orders. On the kagome lattice, in spite of a spin-liquid ground state in the…

Strongly Correlated Electrons · Physics 2018-10-31 Katsuhiro Morita , Masanori Kishimoto , Takami Tohyama

The quest for Kitaev spin liquids in particular three dimensional solids is long sought goal in condensed matter physics, as these states may give rise to exotic new types of quasi-particle excitations carrying fractional quantum numbers…

Strongly Correlated Electrons · Physics 2020-01-22 Birender Singh , M. Vogl , S. Wurmehl , S. Aswartham , B. Büchner , Pradeep Kumar