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Motivated by the observation of a disordered spin ground state in the $S=3/2$ material Bi$_3$Mn$_4$O$_{12}$NO$_3$, we study the ground state properties and excitation spectra of the $S=3/2$ (and for comparison $S=1/2$) bilayer Heisenberg…

Strongly Correlated Electrons · Physics 2015-06-03 J. Oitmaa , R. R. P. Singh

The enhancement of the spin-space symmetry from the usual $\mathrm{SU}(2)$ to $\mathrm{SU}(N)$ with $N>2$ is promising for finding nontrivial quantum spin liquids, but the realization of $\mathrm{SU}(N)$ spin systems in real materials is…

Strongly Correlated Electrons · Physics 2020-04-07 Masahiko G. Yamada

A quantum spin liquid (QSL) is an exotic quantum state of matter characterized by fluctuating spins which may exhibit long-range entanglement. Among the possible host candidates for a QSL ground state, the $S$=1/2 kagome lattice…

Strong spin-orbital-coupling magnetic systems with the honeycomb structure can provide bond-directional interactions which may result in Kitaev quantum spin liquids and exotic anyonic excitations. However, one of the key ingredients in real…

Magnetic properties of AMoOPO$_4$Cl (A = K, Rb) with Mo$^{5+}$ ions in the 4$d^1$ electronic configuration are investigated by magnetization, heat capacity and NMR measurements on single crystals, combined with powder neutron diffraction…

H3LiIr2O6 is the first honeycomb-lattice system without any signs of long-range magnetic order down to the lowest temperatures, raising the hope for the realization of an ideal Kitaev quantum spin liquid. Its honeycomb layers are coupled by…

Strongly Correlated Electrons · Physics 2020-05-13 K. Geirhos , P. Lunkenheimer , M. Blankenhorn , R. Claus , Y. Matsumoto , K. Kitagawa , T. Takayama , H. Takagi , I. Kézsmárki , A. Loidl

We study a generalized honeycomb lattice spin-1/2 Heisenberg model with nearest-neighbor antiferromagnetic 2-spin exchange, and competing 4-spin interactions which serve to stabilize a staggered dimer state which breaks lattice rotational…

Strongly Correlated Electrons · Physics 2015-05-20 Argha Banerjee , Kedar Damle , Arun Paramekanti

We investigate the low temperature magnetic properties of a $S=\frac{5}{2}$ Heisenberg kagom\'e antiferromagnet, the layered monodiphosphate Li$_9$Fe$_3$(P$_2$O$_7$)$_3$(PO$_4$)$_2$, using magnetization measurements and $^{31}$P nuclear…

Strongly Correlated Electrons · Physics 2021-10-08 E. Kermarrec , R. Kumar , G. Bernard , R. Hénaff , P. Mendels , F. Bert , P. L. Paulose , B. K. Hazra , B. Koteswararao

Motivated by the recent numerical evidence[1] of a short-range resonating valence bond state in the honeycomb lattice Hubbard model, we consider Schwinger boson mean field theories of possible spin liquid states on honeycomb lattice. From…

Strongly Correlated Electrons · Physics 2017-06-20 Fa Wang

The Kitaev interaction in a honeycomb lattice with higher-spin $S$ has been one of the central attractions, as it may offer quantum spin liquids. A microscopic theory showed that when the Hund's coupling at the transition metal generates…

Strongly Correlated Electrons · Physics 2024-01-23 Jiefu Cen , Hae-Young Kee

Kitaev's honeycomb lattice spin model is a remarkable exactly solvable model, which has a particular type of spin liquid (Kitaev spin liquid) as the ground state. Although its possible realization in iridates and $\alpha$-RuCl$_3$ has been…

Strongly Correlated Electrons · Physics 2017-08-07 Masahiko G. Yamada , Hiroyuki Fujita , Masaki Oshikawa

The honeycomb iridates A2IrO3 (A=Na, Li) constitute promising candidate materials to realize the Heisenberg-Kitaev model (HKM) in nature, hosting unconventional magnetic as well as spin liquid phases. Recent experiments suggest, however,…

Strongly Correlated Electrons · Physics 2015-06-19 Johannes Reuther , Ronny Thomale , Stephan Rachel

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

The ground state of the Kitaev quantum spin liquid on a honeycomb lattice is an intriguing many-body state characterized by its topological order and massive entanglement. One of the significant issues is to prepare and manipulate the…

Strongly Correlated Electrons · Physics 2025-12-05 Seongjun Park , Eun-Gook Moon

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

Motivated by the absence of both spin freezing and a cooperative Jahn-Teller effect at the lowest measured temperatures, we study the ground state of Ba3CuSb2O9. We solve a general spin-orbital model on both the honeycomb and the decorated…

Strongly Correlated Electrons · Physics 2014-10-02 Andrew Smerald , Frederic Mila

Anyonic excitations emerging from a Kitaev spin liquid can form a basis for quantum computers. Searching for such excitations motivated intense research on the honeycomb iridate materials. However, access to a spin liquid ground state has…

We calculate the crystal-field splitting, ground-state Kramers doublet and intersite exchange interactions within the ground-state doublet manifold using an ab initio Hubbard-I based approach for a representative set of Ce and Yb…

Strongly Correlated Electrons · Physics 2026-02-06 Leonid V. Pourovskii , Rafael D. Soares , Alexander Wietek

There have been constant efforts to find exotic quantum spin-liquid (QSL) materials. Some of the transition metal insulators dominated by the direction dependent anisotropic exchange interaction (Kitaev model for honeycomb network of…

Strongly Correlated Electrons · Physics 2023-05-17 S. Rayaprol , K. K. Iyer , A. Hoser , M. Reehuis , A. V. Morozkin , V. Siruguri , K. Maiti , E. V. Sampathkumaran

The unique linear density of state around the Dirac points for the honeycomb lattice brings much novel features in strongly correlated models. Here we study the ground-state phase diagram of the Kondo lattice model on the honeycomb lattice…

Strongly Correlated Electrons · Physics 2013-05-02 Yin Zhong , Ke Liu , Yu-Feng Wang , Yong-Qiang Wang , Hong-Gang Luo