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We theoretically study a spin Hamiltonian for spin-orbit-coupled ferromagnets on the honeycomb lattice. We find that the effective Hamiltonian for magnons, a quanta of spin-wave excitations from ordered states, is equivalent to the Haldane…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 Se Kwon Kim , Héctor Ochoa , Ricardo Zarzuela , Yaroslav Tserkovnyak

Strongly correlated systems with geometric frustrations can host the emergent phases of matter with unconventional properties. Here, we study the spin $S = 1$ Heisenberg model on the honeycomb lattice with the antiferromagnetic first-…

Strongly Correlated Electrons · Physics 2015-11-10 Shou-Shu Gong , Wei Zhu , D. N. Sheng

We introduce the idea of emergent lattices, where a simple lattice decouples into two weakly-coupled lattices as a way to stabilize spin liquids. In LiZn2Mo3O8, the disappearance of 2/3rds of the spins at low temperatures suggests that its…

Strongly Correlated Electrons · Physics 2013-11-27 Rebecca Flint , Patrick A. Lee

We report a high-resolution neutron diffraction study on the orbitally-degenerate spin-1/2 hexagonal antiferromagnet AgNiO2. A structural transition to a tripled unit cell with expanded and contracted NiO6 octahedra indicates root(3) x…

Strongly Correlated Electrons · Physics 2009-11-13 E. Wawrzynska , R. Coldea , E. M. Wheeler , I. I. Mazin , M. D. Johannes , T. Sorgel , M. Jansen , R. M. Ibberson , P. G. Radaelli

Using the density matrix renormalization group (DMRG) on wide cylinders, we study the phase diagram of the spin-1/2 XY model on the honeycomb lattice, with first-neighbor ($J_1 = 1$) and frustrating second-neighbor ($J_2>0$) interactions.…

Strongly Correlated Electrons · Physics 2014-01-06 Zhenyue zhu , David A. Huse , Steven R. White

Motivated by the recent discovery of high temperature antiferromagnet SrRu$_2$O$_6$ and its potential to be the parent of a new superconductor, we construct a minimal $t_{2g}$-orbital model on a honeycomb lattice to simulate its low energy…

Strongly Correlated Electrons · Physics 2015-08-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

We demonstrate the versatility, simplicity, and power of the minimally-augmented spin-wave theory in studying phase diagrams of the quantum spin models in which unexpected magnetically ordered phases occur or the existing ones expand beyond…

Strongly Correlated Electrons · Physics 2025-11-13 A. L. Chernyshev

The spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in the presence of a magnetic field displays various quantum phases including the Lieb-Mattis ferrimagnetic, dimer-tetramer, monomer-dimer, and spin-canted…

Strongly Correlated Electrons · Physics 2025-01-09 Katarina Karlova , Andreas Honecker , Nils Caci , Stefan Wessel , Jozef Strecka , Taras Verkholyak

We study a spin model on honeycomb lattice with two types of Heisenberg exchange couplings, $J$ and $\tilde J$, where $J$ is for the conventional spin and and $\tilde J$ for rotated spin. When $\tilde J=0$, this is the conventional…

Strongly Correlated Electrons · Physics 2015-06-04 Yue Yu , Long Liang , Qian Niu , Shaojing Qin

Motivated by the recent synthesis of the spin-1 A-site spinel NiRh$_{\text 2}$O$_{\text 4}$, we investigate the classical to quantum crossover of a frustrated $J_1$-$J_2$ Heisenberg model on the diamond lattice upon varying the spin length…

Strongly Correlated Electrons · Physics 2018-02-01 Finn Lasse Buessen , Max Hering , Johannes Reuther , Simon Trebst

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic t-J Heisenberg model on the honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2018-09-26 A. A. Vladimirov , D. Ihle , N. M. Plakida

Using the multiband $d-p$ model and unrestricted Hartree-Fock approximation we investigate the electronic structure and spin-orbital order in three-dimensional MnO$_3$ lattice such as realized in LaMnO$_3$. The orbital order is induced and…

Strongly Correlated Electrons · Physics 2019-04-04 Krzysztof Rościszewski , Andrzej M. Oleś

We study the interplay of spin, orbital and lattice degrees of freedom in a one-dimensional Kugel-Khomskii model coupled to phonons. In the vicinity of the dimer point we analyze the excitation spectrum, mapping the spin and orbital degrees…

Strongly Correlated Electrons · Physics 2007-05-23 A. Friedrich , W. Brenig

Sr$_{3}$Cr$_{2}$O$_{8}$ consist of a lattice of spin-1/2 Cr$^{5+}$ ions, which form hexagonal bilayers and which are paired into dimers by the dominant antiferromagnetic intrabilayer coupling. The dimers are coupled three-dimensionally by…

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic Heisenberg model on a stacked honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2017-03-27 A. A. Vladimirov , D. Ihle , N. M. Plakida

CaMn$_2$P$_2$ exemplifies the realization of a frustrated $J_1$-$J_2$-$J_3$ Heisenberg model of a corrugated honeycomb magnetic lattice. Previous studies show that below the N\'eel temperature ($T_{\rm N}$), the system forms a cycloidal…

High-frequency ESR results on the S=1/2 Heisenberg hexagonal antiferromagnet InCu2/3V1/3O3 are reported. This compound appears to be a rare model substance for the honeycomb lattice antiferromagnet with very weak interlayer couplings. The…

Strongly Correlated Electrons · Physics 2015-03-17 Susumu Okubo , Hideo Wada , Hitoshi Ohta , Takahiro Tomita , Masashi Fujisawa , Takahiro Sakurai , Eiji Ohmichi , Hikomitsu Kikuchi

The interplay between spin-orbit coupling, anisotropic magnetic interaction, frustration-induced quantum fluctuations and spin correlations can lead to novel quantum states with exotic excitations in rare-earth-based quantum magnets.…

Strongly Correlated Electrons · Physics 2023-08-31 J. Khatua , Q. P. Ding , M. S. Ramachandra Rao , K. Y. Choi , A. Zorko , Y. Furukawa , P. Khuntia

We study the effects of doping a Mott insulator on the honeycomb lattice where spins interact via direction dependent Kitaev couplings J_K, and weak antiferromagnetic Heisenberg couplings J. This model is known to have a spin liquid ground…

Strongly Correlated Electrons · Physics 2012-08-30 Yi-Zhuang You , Itamar Kimchi , Ashvin Vishwanath

We study the zero-temperature quantum phase diagram of a spin-1 Heisenberg antiferromagnet on the honeycomb lattice with both nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv \kappa…

Strongly Correlated Electrons · Physics 2016-06-30 P. H. Y. Li , R. F. Bishop