journal article·2020-04

Magnetic susceptibility of pyrochlores R2Ti2O7: R = Gd, Dy, Tb

A.V. Kuznetsov, O.A. Churkin, A.A. Ivanov, V.V. Popov, P.A. Alekseev, A.P. Menushenkov

Publisher page

Abstract

Abstract We present the study of magnetic susceptibility of pyrochlores Gd2Ti2O7, Dy2Ti2O7 and Tb2Ti2O7 which belong to frustrated magnets. The temperature dependence of the susceptibility χ ( T ) of powder samples was measured in the temperature range from 4.2 to 300 K and analyzed in the framework of mean field approximation taking into account both crystal field effects and anisotropy of the exchange interaction. We developed a simple approach allowing us to estimate interaction energies of magnetic ions from χ ( T ) dependences and data on wave functions of the crystal-field states of the ions using a minimum number of fitting parameters. We revealed a strong anisotropy of the exchange interaction in the paramagnetic state of Gd2Ti2O7 and obtained nearest-neighbor effective bond energies of the magnetic ions in Tb2Ti2O7 and Dy2Ti2O7 which are in good agreement with the temperatures of formation of the spin-ice state in these compounds.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Advanced Condensed Matter Physics · Nuclear materials and radiation effects · Geological and Geochemical Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (88)

Show source-provided references
1. Frustrated rare earth magnetism: spin glasses, spin liquids and spin ices in pyrochlore oxides10.1016/j.jallcom.2004.12.084 ↗
2. Magnetic pyrochlore oxides10.1103/RevModPhys.82.53 ↗
3. Dipolar interactions and origin of spin ice in ising pyrochlore magnets10.1103/PhysRevLett.84.3430 ↗
4. Crystal field effects and the nature of the giant magnetostriction in terbium dititanate
5. Thermodynamic and single-ion properties of Tb3+ within the collective paramagnetic-spin liquid state of the frustrated pyrochlore antiferromagnet Tb2Ti2O710.1103/PhysRevB.62.6496 ↗
6. Estimation of single ion anisotropy in pyrochlore Dy2Ti2O7, a geometrically frustrated system, using crystal field theory10.1016/S0304-8853(01)00983-0 ↗
7. Optical spectroscopy of Yb2Ti2O7 and Y2Ti2O7:Yb3+ and crystal-field parameters in rare-earth titanate pyrochlores10.1103/PhysRevB.70.075112 ↗
8. Phonon and crystal field excitations in geometrically frustrated rare earth titanates10.1103/PhysRevB.77.214310 ↗
9. Ising versus xy anisotropy in frustrated R2Ti2O7 compounds as “seen” by polarized neutrons10.1103/PhysRevLett.103.056402 ↗
10. Static magnetic susceptibility, crystal field and exchange interactions in rare earth titanate pyrochlores
11. Crystal electric field in the R2Ti2O7 pyrochlore compounds
12. Magnetic excitations in Tb2Sn2O7 and Tb2Ti2O7 as measured by inelastic neutron scattering10.1103/PhysRevB.76.184436 ↗
13. Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Ti2O7
14. Crystal field states of Tb3+ in the pyrochlore spin liquid Tb2Ti2O7 from neutron spectroscopy10.1103/PhysRevB.91.224430 ↗
15. Single-ion anisotropy and magnetic field response in the spin-ice materials Ho2Ti2O7 and Dy2Ti2O710.1103/PhysRevB.92.155120 ↗
16. Crystal-field parameters of the rare-earth pyrochlores R2Ti2O7 (R =Tb, Dy, and Ho)
17. Transition to long-range magnetic order in the highly frustrated insulating pyrochlore antiferromagnet Gd2Ti2O710.1103/PhysRevB.59.14489 ↗
18. Low temperature magnetic properties of the geometrically frustrated pyrochlores Tb2Ti2O7, Gd2Ti2O7, and Gd2Sn2O710.1016/S0375-9601(01)00734-4 ↗
19. Multiple field-induced phase transitions in the geometrically frustrated dipolar magnet: Gd2Ti2O710.1103/PhysRevLett.89.067202 ↗
20. Low temperature magnetic properties of geometrically frustrated Gd2Sn2O7 and Gd2Ti2O7
21. Magnetic phase diagram of the antiferromagnetic pyrochlore Gd2Ti2O710.1103/PhysRevB.70.012402 ↗
22. Magnetic density of states at low energy in geometrically frustrated systems10.1103/PhysRevLett.95.047203 ↗
23. Geometrical frustration in the ferromagnetic pyrochlore Ho2Ti2O710.1103/PhysRevLett.79.2554 ↗
24. Zero-point entropy in ’spin ice’10.1038/20619 ↗
25. Dynamically induced frustration as a route to a quantum spin ice state in Tb2Sn2O7 via virtual crystal field excitations and quantum many-body effects10.1103/PhysRevLett.98.157204 ↗
26. Proposal for a [111] magnetization plateau in the spin liquid state of Tb2Sn2O7
27. Low-temperature low-field phases of the pyrochlore quantum magnet Tb2Sn2O710.1103/PhysRevLett.110.137201 ↗
28. Magnetic structures of highly frustrated pyrochlores10.1016/S0304-8853(97)00796-8 ↗
29. Effective hyperfine temperature in frustrated Gd2Sn2O7: two level model and 155Gd Mössbauer measurements
30. Temperature and magnetic field dependence of spin-ice correlations in the pyrochlore magnet Tb2Sn2O710.1103/PhysRevB.90.014429 ↗
31. Radiation-induced amorphization of rare-earth titanate pyrochlores10.1103/PhysRevB.68.134107 ↗
32. Frustrated quantum rare-earth pyrochlores10.1146/annurev-conmatphys-022317-110520 ↗
33. Quantum excitations in quantum spin ice
34. Order by quantum disorder in Er2Ti2O710.1103/PhysRevLett.109.167201 ↗
35. Generic quantum spin ice10.1103/PhysRevB.86.104412 ↗
36. Order by virtual crystal field fluctuations in pyrochlore xy antiferromagnets10.1103/PhysRevB.93.184408 ↗
37. Exchange interaction between J multiplets10.1103/PhysRevB.91.174438 ↗
38. Ising exchange interaction in lanthanides and actinides10.1088/1367-2630/17/10/103028 ↗
39. Rods of neutron scattering intensity in Yb2Ti2O7: compelling evidence for significant anisotropic exchange in a magnetic pyrochlore oxide10.1103/PhysRevLett.106.187202 ↗
40. Magnitude of quantum effects in classical spin ices10.1103/PhysRevB.92.144417 ↗
41. Ising pyrochlore magnets: low-temperature properties, “ice rules,” and beyond10.1103/PhysRevLett.83.1854 ↗
42. Magnetic susceptibility of rare-earth compounds with the pyrochlore structure10.1016/0022-3697(68)90026-7 ↗
43. Phonon-mediated spin-flipping mechanism in the spin ices Dy2Ti2O7 and Ho2Ti2O710.1103/PhysRevB.95.060414 ↗
44. Neutron larmor diffraction investigation of the rare-earth pyrochlores R2Ti2O7 (R= Tb, Dy, Ho)10.1103/PhysRevB.94.174406 ↗
45. Estimation of single-ion anisotropies, crystal-field and exchange interactions in Gd-based frustrated pyrochlore anti-ferromagnets Gd2M2O7 (M=Ti, Sn, Hf, Zr)10.1016/j.jmmm.2011.07.007 ↗
46. The effect of synthesis conditions on the structure of compounds formed in the Dy2O3-TiO2 system10.1134/S003602361604015X ↗
47. Formation and evolution of crystal and local structures in nanostructured Ln2Ti2O7 (Ln = Gd – Dy)10.1016/j.jallcom.2018.02.263 ↗
48. Local disorder in Ln2Ti2O7 (Ln = Gd, Tb, Dy) pyrochlores
49. Comparative analysis of long- and short-range structures features in titanates Ln2Ti2O7 and zirconates Ln2Zr2O7 (Ln = Gd, Tb, Dy) upon the crystallization process10.1016/j.jpcs.2019.02.019 ↗
50. Coey · 2010
51. Simple and approximate expressions of demagnetizing factors of uniformly magnetized rectangular rod and cylinder10.1063/1.343481 ↗
52. A simple portable SQUID-based susceptometer
53. Critical state in a circular two-dimensional superconductor and magnetization of thin Nd1.85Ce0.15CuO4-δ and YBa2Cu3O7-δ films in a transverse field10.1103/PhysRevB.52.9637 ↗
54. Crystal shape-dependent magnetic susceptibility and curie law crossover in the spin ices Dy2Ti2O7 and Ho2Ti2O7
55. Microscopic aspects of magnetic lattice demagnetizing factors
56. Crystal growth and magnetic susceptibility of some rare-earth compounds10.1007/BF00550984 ↗
57. Macroscopic anisotropy and symmetry breaking in the pyrochlore antiferromagnet Gd2Ti2O710.1103/PhysRevB.67.214432 ↗
58. Bulk magnetization of the heavy rare earth titanate pyrochlores – a series of model frustrated magnets
59. Selwood · 1964
60. Magnetic anisotropy of the spin-ice compound Dy2Ti2O710.1103/PhysRevB.65.054410 ↗
61. Single-ion anisotropy in the gadolinium pyrochlores studied by electron paramagnetic resonance10.1103/PhysRevB.72.020409 ↗
62. Spin dynamics of the pyrochlore magnets Gd2Ti2O7 and Gd2Sn2O7 in the paramagnetic state10.1103/PhysRevB.77.104424 ↗
63. Order in the Heisenberg pyrochlore: the magnetic structure of Gd2Ti2O710.1103/PhysRevB.64.140407 ↗
64. Phase transitions, partial disorder and multi-k structures in Gd2Ti2O7
65. Topological-sector fluctuations and curie-law crossover in spin ice
66. Special temperatures in frustrated ferromagnets10.1038/s41467-018-04297-3 ↗
67. Crystal-field interaction in the pyrochlore magnet Ho2Ti2O710.1063/1.372565 ↗
68. Dynamic frustrated magnetism in Tb2Ti2O7 at 50 mK10.1103/PhysRevB.68.180401 ↗
69. Low-temperature phases of the pyrochlore compound Tb2Ti2O710.1103/PhysRevB.69.132413 ↗
70. Exotic transition in the three-dimensional spin-liquid candidate Tb2Ti2O710.1103/PhysRevB.84.184403 ↗
71. Low-temperature magnetization in geometrically frustrated Tb2Ti2O710.1103/PhysRevB.86.020410 ↗
72. Mesoscopic correlations in Tb2Ti2O7 spin liquid10.1103/PhysRevB.92.144412 ↗
73. Gapped and gapless short-range-ordered magnetic states with (12,12,12) wave vectors in the pyrochlore magnet Tb2+xTi2-xO7+δ10.1103/PhysRevB.92.245114 ↗
74. Long-range order and spin-liquid states of polycrystalline Tb2+xTi2-xO7+y10.1103/PhysRevB.87.060408 ↗
75. Quantum spin liquid and electric quadrupolar states of single crystal Tb2+xTi2-xO7+y10.1088/1742-6596/683/1/012023 ↗
76. Spin correlations of quantum spin liquid and quadrupole-ordered states of Tb2+xTi2-xO7+y10.1103/PhysRevB.99.014406 ↗
77. Lightly stuffed pyrochlore structure of single-crystalline Yb2Ti2O7 grown by the optical floating zone technique10.1103/PhysRevB.86.174424 ↗
78. Vacancy defects and monopole dynamics in oxygen-deficient pyrochlores10.1038/nmat3924 ↗
79. Absence of spin-ice state in the disordered fluorite Dy2Zr2O710.1103/PhysRevB.99.214442 ↗
80. Magnetization of crystalline and amorphous phases of R2Zr2O7 (R = Gd, Dy, Tb), to be published10.1007/s10948-019-05388-y ↗
81. Pauling entropy, metastability, and equilibrium in Dy2Ti2O7 spin ice10.1103/PhysRevLett.121.067202 ↗
82. Neutron spectroscopic study of crystalline electric field excitations in stoichiometric and lightly stuffed Yb2Ti2O710.1103/PhysRevB.92.134420 ↗
83. Local susceptibility of the Yb2Ti2O7 rare earth pyrochlore computed from a hamiltonian with anisotropic exchange
84. Anisotropic propagating excitations and quadrupolar effects in Tb2Ti2O710.1103/PhysRevLett.111.087201 ↗
85. Magnetoelastic excitations in the pyrochlore spin liquid Tb2Ti2O710.1103/PhysRevLett.112.017203 ↗
86. Magnetoelastic excitation spectrum in the rare-earth pyrochlore Tb2Ti2O710.1103/PhysRevB.99.224431 ↗
87. Understanding paramagnetic spin correlations in the spin-liquid pyrochlore Tb2Ti2O710.1103/PhysRevB.68.172407 ↗
88. Effect of defects in the rare-earth sublattice of the Kondo insulator YbB12 on its spectral characteristics and magnetic susceptibility10.1134/S1063776117060061 ↗