Triangular-spin, kagome plane in jarosites

Spin-ordered ground state and thermodynamic behaviors of the spin-32kagome Heisenberg antiferromagnet

“…However, such a √ 3 × √ 3 ordered state is found to be melted at finite temperatures, in agreement to the Mermin-Wagner theorem [44]. The experimental observation of the antiferromagnetic order below the Neél temperature T N =4.5 K in Cr-jarosite by the magnetic susceptibility measurement by Okuta et al [28] may be ascribed to a three-dimensional effect at low temperatures. Figure 4 gives the specific heat C as a function of temperature T for the spin-3/2 KHAF, which was calculated by the thermal tensor-network algorithm [41,45,46] with cluster update scheme (D = 16).…”

“…Nonetheless, despite a lot of efforts made both experimentally and theoretically, its nature is still ambiguous and controversial up to date. The experimental studies on a number of spin-3/2 KHAF materials such as S rCr 8 Ga 4 O 19 [25], S rCr 8 Ga 4−x M x O 19 (M = Zn, Mg, Cu) [26], Ba 2 S n 2 ZnGa 10−7p Cr 7p O 22 [27], and Crjarosite KCr 3 (OH) 6 (S O 4 ) 2 [28], etc., have produced diverse results, leading to different even contradictory conclusions on the nature of the spin-3/2 KHAF. For instance, there are studies showing that it has no antiferromagnetic long-range order but undergoes a spin-glass transition [25][26][27], while some others reported that it possesses a long-range order with a nearly 120 • structure [28,29].…”

Short-range order in the topological spin glass(D3O)Fe3(Wills1, Oakley2, Visser3 et al. 2001Phys. Rev. B417270View full textAdd to dashboardCite

“…In addition to the magnetic Bragg peaks that are the result of long-range order, diffuse scattering due to short-range correlations is seen above and below T c . 4,44 It is natural to assume that such short-range correlations are also based on domains of the qϭ0 configuration, i.e., domains of triangles with uniform chirality. Given the structural similarities between these jarosites and (D 3 O)Fe 3 (SO 4 ) 2 (OD) 6 , we might expect that in this material, the short-range order observed at high temperatures has a bias towards similar local orderings, and is not simply made up of 120°motifs with purely disordered chiralities.…”

Conventional and unconventional orderings in the jarosites

“…Diamagnetic dilution studies can also be made in which a non-magnetic ion, such as Al 3+ , Ga 3+ , or In 3+ , is substituted onto the B site. 16,11 In addition to this versitility in engineering various kagomé systems, control can also be exercised over the details of the interplane magnetic exchange by replacement of the SO …”