Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe)
Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ =...
Ausführliche Beschreibung
Autor*in: |
Dey, K. [verfasserIn] |
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Englisch |
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2017transfer abstract |
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7 |
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Enthalten in: Factors associated with canine resource guarding behaviour in the presence of people: A cross-sectional survey of dog owners - Jacobs, Jacquelyn A. ELSEVIER, 2017, JAL : an interdisciplinary journal of materials science and solid-state chemistry and physics, Lausanne |
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volume:726 ; year:2017 ; day:5 ; month:12 ; pages:74-80 ; extent:7 |
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DOI / URN: |
10.1016/j.jallcom.2017.07.282 |
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520 | |a Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. | ||
520 | |a Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. | ||
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10.1016/j.jallcom.2017.07.282 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000923.pica (DE-627)ELV015304612 (ELSEVIER)S0925-8388(17)32667-1 DE-627 ger DE-627 rakwb eng 630 VZ Dey, K. verfasserin aut Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe) 2017transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Ferrimagnet Elsevier Critical phenomena Elsevier Sulpho spinels Elsevier Indra, A. oth Giri, S. oth Enthalten in Elsevier Jacobs, Jacquelyn A. ELSEVIER Factors associated with canine resource guarding behaviour in the presence of people: A cross-sectional survey of dog owners 2017 JAL : an interdisciplinary journal of materials science and solid-state chemistry and physics Lausanne (DE-627)ELV001115774 volume:726 year:2017 day:5 month:12 pages:74-80 extent:7 https://doi.org/10.1016/j.jallcom.2017.07.282 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 726 2017 5 1205 74-80 7 |
spelling |
10.1016/j.jallcom.2017.07.282 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000923.pica (DE-627)ELV015304612 (ELSEVIER)S0925-8388(17)32667-1 DE-627 ger DE-627 rakwb eng 630 VZ Dey, K. verfasserin aut Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe) 2017transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Ferrimagnet Elsevier Critical phenomena Elsevier Sulpho spinels Elsevier Indra, A. oth Giri, S. oth Enthalten in Elsevier Jacobs, Jacquelyn A. ELSEVIER Factors associated with canine resource guarding behaviour in the presence of people: A cross-sectional survey of dog owners 2017 JAL : an interdisciplinary journal of materials science and solid-state chemistry and physics Lausanne (DE-627)ELV001115774 volume:726 year:2017 day:5 month:12 pages:74-80 extent:7 https://doi.org/10.1016/j.jallcom.2017.07.282 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 726 2017 5 1205 74-80 7 |
allfields_unstemmed |
10.1016/j.jallcom.2017.07.282 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000923.pica (DE-627)ELV015304612 (ELSEVIER)S0925-8388(17)32667-1 DE-627 ger DE-627 rakwb eng 630 VZ Dey, K. verfasserin aut Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe) 2017transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Ferrimagnet Elsevier Critical phenomena Elsevier Sulpho spinels Elsevier Indra, A. oth Giri, S. oth Enthalten in Elsevier Jacobs, Jacquelyn A. ELSEVIER Factors associated with canine resource guarding behaviour in the presence of people: A cross-sectional survey of dog owners 2017 JAL : an interdisciplinary journal of materials science and solid-state chemistry and physics Lausanne (DE-627)ELV001115774 volume:726 year:2017 day:5 month:12 pages:74-80 extent:7 https://doi.org/10.1016/j.jallcom.2017.07.282 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 726 2017 5 1205 74-80 7 |
allfieldsGer |
10.1016/j.jallcom.2017.07.282 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000923.pica (DE-627)ELV015304612 (ELSEVIER)S0925-8388(17)32667-1 DE-627 ger DE-627 rakwb eng 630 VZ Dey, K. verfasserin aut Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe) 2017transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Ferrimagnet Elsevier Critical phenomena Elsevier Sulpho spinels Elsevier Indra, A. oth Giri, S. oth Enthalten in Elsevier Jacobs, Jacquelyn A. ELSEVIER Factors associated with canine resource guarding behaviour in the presence of people: A cross-sectional survey of dog owners 2017 JAL : an interdisciplinary journal of materials science and solid-state chemistry and physics Lausanne (DE-627)ELV001115774 volume:726 year:2017 day:5 month:12 pages:74-80 extent:7 https://doi.org/10.1016/j.jallcom.2017.07.282 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 726 2017 5 1205 74-80 7 |
allfieldsSound |
10.1016/j.jallcom.2017.07.282 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000923.pica (DE-627)ELV015304612 (ELSEVIER)S0925-8388(17)32667-1 DE-627 ger DE-627 rakwb eng 630 VZ Dey, K. verfasserin aut Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe) 2017transfer abstract 7 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. Ferrimagnet Elsevier Critical phenomena Elsevier Sulpho spinels Elsevier Indra, A. oth Giri, S. oth Enthalten in Elsevier Jacobs, Jacquelyn A. ELSEVIER Factors associated with canine resource guarding behaviour in the presence of people: A cross-sectional survey of dog owners 2017 JAL : an interdisciplinary journal of materials science and solid-state chemistry and physics Lausanne (DE-627)ELV001115774 volume:726 year:2017 day:5 month:12 pages:74-80 extent:7 https://doi.org/10.1016/j.jallcom.2017.07.282 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 726 2017 5 1205 74-80 7 |
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Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. 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Factors associated with canine resource guarding behaviour in the presence of people: A cross-sectional survey of dog owners |
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critical behavior of multiferroic sulpho spinel compounds: mcr2s4 (m = co & fe) |
title_auth |
Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe) |
abstract |
Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. |
abstractGer |
Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. |
abstract_unstemmed |
Near the paramagnetic to ferrimagnetic transition temperature, the dc magnetization data of two sulpho spinels, CoCr2S4 and FeCr2S4, are analyzed by the modified Arrott plot, the Kouvel-Fisher method, log M vs log H, and the scaling analysis. Critical exponents β = 0.3946 ± 0.0064, 0.421 ± 0.04, γ = 1.101 ± 0.004, 1.041 ± 0.015, and δ = 3.77 ± 0.06, 3.512 ± 0.14 are obtained around the critical temperature ∼ 224.4 K and 166.5 K for CoCr2S4 and FeCr2S4, respectively. Scaling analysis indicates that calculated critical exponents, as well as critical temperatures, are intrinsic to the systems. The values of critical exponents of CoCr2S4 are between those predicted for a three dimensional Heisenberg model and those predicted by mean field theory. Probably, the observed large spin-phonon coupling and magnetocrystalline anisotropy caused by Co ion may play the key role in this critical behavior of CoCr2S4. The critical exponents of FeCr2S4 are close to the mean field theory except for δ, which is higher than the theoretical value. The higher value of δ may arise due to the incomplete ferrimagnetic transition and presence of short range magnetic ordering above T C for FeCr2S4. |
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title_short |
Critical behavior of multiferroic sulpho spinel compounds: MCr2S4 (M = Co & Fe) |
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