Crystal field effect and geometric frustration in Er2Ti2O7 —an XY antiferromagnetic pyrochlore

Magnetic excitations in theXY-pyrochlore antiferromagnetEr2Ti2O7Sosin1, Prozorova2, Lees3 et al. 2010Phys. Rev. B4418490View full textAdd to dashboardCite

“…A more general calculation which involves the solution of a total atomic Hamiltonian and uses high temperature susceptibility data in the fitting procedure gives slightly different lowest doublet wave-functions but the same g-values. 6 It should be noted that recent neutron scattering measurements 16 have determined a much less pronounced XY-anisotropy of the local susceptibility tensor with the values of g = 2.6 and g ⊥ = 6.8. When the field is applied along [100]-axis all four magnetic moments in the unit cell are in equivalent positions with cos α = 1/ √ 3.…”

Static magnetic susceptibility, crystal field and exchange interactions in rare earth titanate pyrochlores

“…Note that the exchange contribution to the Weiss temperature (24) depends only on the 'isotropic' combination of exchange constants λ is = (λ + λ ⊥,1 + λ ⊥,2 )/3. According to equation (21), the bulk susceptibility, as well as the renormalized single ion susceptibilities χ and χ ⊥ , diverges when the denominator (see equation (20)) equals zero.…”

“…The temperature dependence of the isotropic susceptibilities of polycrystalline and single crystals of rare earth titanates have been presented in a number of recent publications (R = Sm [3], Eu [4], Gd [5][6][7][8][9][10], Tb [8][9][10][11][12][13][14][15][16], Dy [8,9,[17][18][19][20], Ho [8,9,11,[20][21][22][23], Er [8,11,18,24], Yb [8,11,17,18,25,26]). As a rule, the experimental data were analyzed using the Curie-Weiss law leading to estimations of the effective isotropic exchange coupling constant.…”

XY antiferromagnetic ground state in the effectiveS=12pyrochloreYb2Ge2O7Hallas1, Gaudet2, Wilson3 et al. 2016Phys. Rev. B383350View full textAdd to dashboardCite

“…The crystal electric field states for Yb 2 Ti 2 O 7 are well understood [7][8][9], while those corresponding to Er 2 Ti 2 O 7 are less well-determined [10,11] [8,12,13]. These two materials have also both been found to order into a canted ferromagnetic state at low temperatures [13][14][15][16].…”

“…Er 2 Ti 2 O 7 is known to possess a relatively large, antiferromagnetic Curie-Weiss constant [10,12] and undergoes a continuous phase transition to a non-coplanar ψ 2 antiferromagnetic ordered state at T N =1.2 K [27][28][29]. However, in contrast to Yb 2 Ti 2 O 7 , there are well-defined conventional spin wave excitations in Er 2 Ti 2 O 7 below T N [30].…”