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The search for Kitaev spin liquid states has recently broadened to include a number of honeycomb materials with integer spin moments. The qualitative difference with their spin-1/2 counterparts is the presence of single-ion anisotropy…

Strongly Correlated Electrons · Physics 2023-11-27 Ayushi Singhania , Jeroen van den Brink , Satoshi Nishimoto

Motivated by the largely unexplored domain of multi-polar ordered spin states in the Kitaev-Heisenberg (KH) systems we investigate the ground state dynamics of the spin-$\frac{1}{2}$ KH model, focusing on quadrupolar (QP) order in 2-leg…

Strongly Correlated Electrons · Physics 2025-03-28 Manodip Routh , Sayan Ghosh , Jeroen van den Brink , Satoshi Nishimoto , Manoranjan Kumar

The recently discovered three-dimensional hyperhoneycomb iridate, $\beta$-Li$_2$IrO$_3$, has raised hopes for the realization of dominant Kitaev interaction between spin-orbit entangled local moments due to its near-ideal lattice structure.…

Strongly Correlated Electrons · Physics 2016-01-15 Heung-Sik Kim , Eric Kin-Ho Lee , Yong Baek Kim

The Heisenberg-Kitaev (HK) model on the triangular lattice is conceptually interesting for its interplay of geometric and exchange frustration. HK models are also thought to capture the essential physics of the spin-orbital entanglement in…

Strongly Correlated Electrons · Physics 2015-04-29 Michael Becker , Maria Hermanns , Bela Bauer , Markus Garst , Simon Trebst

We study the effects of a periodically varying electric field on the Hubbard model at half-filling on a triangular lattice. The electric field is incorporated through the phase of the nearest-neighbor hopping amplitude via the Peierls…

Strongly Correlated Electrons · Physics 2022-03-14 Samudra Sur , Adithi Udupa , Diptiman Sen

Magnetoelectric properties were investigated for an S=1/2 chain antiferromagnet CuCl2, which turns out to be the first example of non-chalcogen based spiral-spin induced multiferroics. Upon the onset of helimagnetic order propagating along…

Strongly Correlated Electrons · Physics 2010-09-01 S. Seki , T. Kurumaji , S. Ishiwata , H. Matsui , H. Murakawa , Y. Tokunaga , Y. Kaneko , T. Hasegawa , Y. Tokura

We present a microscopic model for the anisotropic exchange interactions in Sr$_{2}$IrO$_{4}$. A direct construction of Wannier functions from first-principles calculations proves the $j_{\mathrm{eff}}$=1/2 character of the spin-orbit…

Strongly Correlated Electrons · Physics 2013-05-29 Hosub Jin , Hogyun Jeong , Taisuke Ozaki , Jaejun Yu

A combination of small-cluster exact-diagonalization calculations and a well-controlled approximative method is used to study the ground-state phase diagram of the spin-one-half Falicov-Kimball model extended by the spin-dependent on-site…

Strongly Correlated Electrons · Physics 2009-11-11 Pavol Farkasovsky , Hana Cencarikova

The current efforts to find the materials hosting Kitaev model physics have been focused on Mott insulators of d^5 pseudospin-1/2 ions Ir^{4+} and Ru^{3+} with t_{2g}^5(S=1/2, L=1) electronic configuration. Here we propose that the Kitaev…

Strongly Correlated Electrons · Physics 2018-01-11 Huimei Liu , Giniyat Khaliullin

Higher-spin quantum magnets with competing interactions offer a rich platform for exploring quantum phases that transcend the paradigms of spin-1/2 systems, owing to their enlarged local Hilbert spaces and the emergence of multipolar…

Strongly Correlated Electrons · Physics 2025-12-23 Zhiling Wei , Zhengzhong Du , Xiaodong Cao , Wen-Long You , Yi Lu

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…

Strongly Correlated Electrons · Physics 2019-06-27 A. V. Lunkin , K. S. Tikhonov , M. V. Feigel'man

The Kitaev-Hubbard model of interacting fermions is defined on the honeycomb lattice and, at strong coupling, interpolates between the Heisenberg model and the Kitaev model. It is basically a Hubbard model with ordinary hopping $t$ and…

Strongly Correlated Electrons · Physics 2015-06-11 J. P. L. Faye , S. R. Hassan , D. Sénéchal

We study the ordered moment direction in the extended Kitaev-Heisenberg model relevant to honeycomb lattice magnets with strong spin-orbit coupling. We utilize numerical diagonalization and analyze the exact cluster groundstates using a…

Strongly Correlated Electrons · Physics 2016-09-01 Jiří Chaloupka , Giniyat Khaliullin

We study the ground state properties of the Kitaev-Heisenberg model in a magnetic field and explore the evolution of spin correlations in the presence of non-magnetic vacancies. By means of exact diagonalizations, the phase diagram without…

Strongly Correlated Electrons · Physics 2015-05-28 Fabien Trousselet , Giniyat Khaliullin , Peter Horsch

Inelastic neutron scattering has been applied to the study of the spin dynamics of Cr-based antiferromagnetic octanuclear rings where a finite total spin of the ground state is obtained by substituting one Cr(III) ion (s = 3/2) with Zn (s =…

$\alpha$-RuCl$_{3}$ is a major candidate for the realization of the Kitaev quantum spin liquid, but its zigzag antiferromagnetic order at low temperatures indicates deviations from the Kitaev model. We have quantified the spin Hamiltonian…

Honeycomb lattice Kitaev magnets exhibit exotic magnetic properties governed by the Kitaev interaction. This study delves into $\alpha$-RuCl$_3$, a prototypical example described by effective Hamiltonians encompassing bond-dependent Kitaev…

Strongly Correlated Electrons · Physics 2025-05-29 Hamid Mosadeq , Mohammad-Hossein Zare

We present a comprehensive theoretical investigation of magnetoelectric (ME) coupling mechanisms in 19 altermagnetic and 4 ferrimagnetic Type-I multiferroics using electronic band structure calculations with spin-orbit coupling, a…

Motivated by the discovery of multiferroicity in the geometrically frustrated triangular antiferromagnet CuCrO$_2$ below its N\'eel temperature $T_N$, we investigate its magnetic and ferroelectric properties using ab initio calculations and…

Materials Science · Physics 2017-10-23 Ahmed Albaalbaky , Yaroslav Kvashnin , Denis Ledue , Renaud Patte , Raymond Frésard

First-principles calculations, in combination with the four-state energy mapping method, are performed to extract the magnetic interaction parameters of multiferroic BiFeO$_3$. Such parameters include the symmetric exchange (SE) couplings…

Materials Science · Physics 2019-03-20 Changsong Xu , Bin Xu , Bertrand Dupé , L. Bellaiche
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