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The orbitally degenerate A-site spinel compound FeSc2S4 has been experimentally identified as a ``spin-orbital liquid'', with strong fluctuations of both spins and orbitals. Assuming that the second neighbor spin exchange J2 is the dominant…

Strongly Correlated Electrons · Physics 2009-12-14 Gang Chen , Andreas P. Schnyder , Leon Balents

In FeSc2S4 spin-orbital exchange competes with strong spin-orbit coupling, suppressing long-range spin and orbital order and, hence, this material represents one of the rare examples of a spin-orbital liquid ground state. Moreover, it is…

Strongly Correlated Electrons · Physics 2015-06-22 L. Mittelstädt , M. Schmidt , Zhe Wang , F. Mayr , V. Tsurkan , P. Lunkenheimer , D. Ish , L. Balents , J. Deisenhofer , A. Loidl

We study the phase diagram of the spin-orbital model in both the weak and strong limits of the quartic spin-orbital exchange interaction. This allows us to study quantum phase transitions in the model and to approach from both sides the…

Condensed Matter · Physics 2009-11-07 E. Zasinas , O. P. Sushkov , J. Oitmaa

Despite possessing a local spin $2$ moment on the iron site and a Curie-Weiss temperature of $45K$, the A site spinel FeSc$_2$S$_4$ does not magnetically order down to 50mK. Previous theoretical work by Chen and Balents advanced an…

Strongly Correlated Electrons · Physics 2015-10-28 Daniel Ish , Leon Balents

The nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

Strongly Correlated Electrons · Physics 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

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

We present neutron scattering measurements on powder samples of the spinel FeSc2S4 that reveal a previously unobserved magnetic ordering transition occurring at 11.8(2)~K. Magnetic ordering occurs subsequent to a subtle cubic-to-tetragonal…

Strongly Correlated Electrons · Physics 2016-12-21 K. W. Plumb , Jennifer Morey , J. A. Rodriguez-Rivera , Hui Wu , A. A. Podlesnyak , T. M. McQueen , C. L. Broholm

An emergent $\mathrm{SU}(4)$ symmetry discovered in the microscopic model for $d^1$ honeycomb materials [M.~G.~Yamada, M.~Oshikawa, and G.~Jackeli, Phys. Rev. Lett. \textbf{121}, 097201 (2018).] has enabled us to tailor exotic…

Strongly Correlated Electrons · Physics 2022-01-03 Masahiko G. Yamada , Masaki Oshikawa , George Jackeli

Recent neutron scattering observations by Plumb et al. [1] reveal that the ground state of $FeSc_2S_4$ is magnetic with two distinct Fe environments, instead of a quantum spin liquid as had been previously thought. Starting with the…

Strongly Correlated Electrons · Physics 2017-01-11 Chandan Setty , Zhidong Leong , Shuyi Zhang , Philip W. Phillips

Theoretical models of the spin-orbital liquid (SOL) FeSc$_2$S$_4$ have predicted it to be in close proximity to a quantum critical point separating a spin-orbital liquid phase from a long-range ordered magnetic phase. Here, we examine the…

Strongly Correlated Electrons · Physics 2016-09-07 N. J. Laurita , J. Deisenhofer , LiDong Pan , C. M. Morris , M. Schmidt , M. Johnsson , V. Tsurkan , A. Loidl , N. P. Armitage

In addition to low-energy spin fluctuations, which distinguish them from band insulators, Mott insulators often possess orbital degrees of freedom when crystal-field levels are partially filled. While in most situations spins and orbitals…

Strongly Correlated Electrons · Physics 2012-11-28 P. Corboz , M. Lajkó , A. M. Läuchli , K. Penc , F. Mila

While the enhancement of the spin-space symmetry from the usual $\mathrm{SU}(2)$ to $\mathrm{SU}(N)$ is promising for finding nontrivial quantum spin liquids, its realization in magnetic materials remains challenging. Here we propose a new…

Strongly Correlated Electrons · Physics 2018-09-12 Masahiko G. Yamada , Masaki Oshikawa , George Jackeli

Motivated by the recent activities on the Ni-based diamond lattice antiferromagnet NiRh$_2$O$_4$, we theoretically explore on a general ground the unique spin and orbital physics for the Ni$^{2+}$ ions with a $3d^8$ electron configuration…

Strongly Correlated Electrons · Physics 2019-07-10 Fei-Ye Li , Gang Chen

The spinel FeSc$_2$S$_4$ has been proposed to realize a near-critical spin-orbital singlet (SOS) state, where entangled spin and orbital moments fluctuate in a global singlet state on the verge of spin and orbital order. Here we report…

Strongly Correlated Electrons · Physics 2017-02-17 A. Biffin , Ch. Rüegg , J. Embs , T. Guidi , A. Loidl , V. Tsurkan , R. Coldea

Motivated by the quasi-1D antiferromagnet CaV$_2$O$_4$, we explore spin-orbital systems in which the spin modes are gapped but orbitals are near a macroscopically degenerate classical transition. Within a simplified model we show that…

Strongly Correlated Electrons · Physics 2015-05-27 Eran Sela , R. G. Pereira

With octahedrally coordinated $t_{\rm 2g}$ orbitals which are active at filling $n=2$, the $\rm Sr_2CrO_4$ compound exhibits rich interplay of spin-orbital physics with tetragonal distortion induced crystal field tuning by external agent…

Strongly Correlated Electrons · Physics 2022-10-20 Shubhajyoti Mohapatra , Dheeraj Kumar Singh , Avinash Singh

BaFe2(PO4)2 is an unusual Ising insulating ferromagnet based on the Fe$^{2+}$ spin $S$ = 2 ion, the susceptibility of which suggests a large orbital component to the Fe local moment. We apply density functional theory based methods to…

Strongly Correlated Electrons · Physics 2015-09-08 Young-Joon Song , K. -W. Lee , W. E. Pickett

Spin nematic (SN) is a magnetic analog of classical liquid crystals, a fourth state of matter exhibiting characteristics of both liquid and solid. Particularly intriguing is a valence-bond SN, in which spins are quantum entangled to form a…

Using first-principles density functional calculations, we perform a comparative study of two Fe based spinel compounds, FeCr2S4 and FeSc2S4. Though both systems contain an orbitally active A site with an Fe2+ ion, their properties are…

Strongly Correlated Electrons · Physics 2011-02-04 S. Sarkar , T. Maitra , Roser Valentí , T. Saha-Dasgupta

We derive a spin-orbital Hamiltonian for a triangular lattice of e_g orbital degenerate (Ni^{3+}) transition metal ions interacting via 90 degree superexchange involving (O^{2-}) anions, taking into account the on-site Coulomb interactions…

Strongly Correlated Electrons · Physics 2009-11-11 Albert J. W. Reitsma , Louis F. Feiner , Andrzej M. Oles'
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