Abstract:We present the results of a detailed study of the thermally-assisted-resonant-tunneling relaxation rate of Mn12 acetate as a function of an external, longitudinal magnetic field and find that the data can be fit extremely well to a Lorentzian function. No hint of inhomogeneous broadening is found, even though some is expected from the Mn nuclear hyperfine interaction. This inconsistency implies that the tunneling mechanism cannot be described simply in terms of a random hyperfine field.
“…It has also been shown that long-range strains produced by dislocations result in broad distributions of relaxation times, something which is also observed experimentally in Mn 12 −ac [40]. Indeed, assuming realistic concentrations of dislocations, Garanin and Chudnovsky [40] have been able to account for the experimentally observed tunneling in Mn 12 −ac [49], and predict a distribution in the uniaxial spin-spin coupling parameter σ D ≈ 0.027D, which is of the same order as we have found from linewidth analyses (σ D ≈ 0.01 − 0.02D). It should be pointed out, however, that any disorder amongst the ligand molecules, as well as any loss of solvent molecules, may be expected to produce many of the same effects as those proposed by Garanin and Chudnovsky [40], i.e.…”
Section: Discussionmentioning
confidence: 72%
“…Several EPR (and INS) experiments have indicated the presence of significant fourth order single-ion transverse anisotropies for both Mn 12 − ac [16,26,32,35] and Fe 8 Br [33,35]. Nevertheless, fourth order anisotropy cannot fully explain the observed spacing in magnetic field of magnetization steps observed in low temperature hysteresis experiments [49], and there remains considerable disagreement as to the magnitude of the fourth order terms [16,26,32,33,34,35,51]. Consequently, higher resolution EPR measurements are neces-sary in order to refine estimates of the Hamiltonian parameters, and to determine whether EPR lineshapes contain additional information concerning the MQT phenomenon.…”
It is shown that our multi-high-frequency (40 − 200 GHz) resonant cavity technique yields distortion-free high field EPR spectra for single crystal samples of the uniaxial and biaxial spin S = 10 single molecule magnets (SMMs) The observed lineshapes exhibit a pronounced dependence on temperature, magnetic field, and the spin quantum numbers (M S values) associated with the levels involved in the transitions.Measurements at many frequencies allow us to separate various contributions to the EPR linewidths, including significant D−strain, g−strain and broadening due to the random dipolar fields of neighboring molecules. We also identify asymmetry in some of the EPR lineshapes for Fe 8 , and a previously unobserved fine structure to some of the EPR lines for both the Fe 8 and Mn 12 systems. These findings prove relevant to the mechanism of quantum tunneling of magnetization in these SMMs.
“…It has also been shown that long-range strains produced by dislocations result in broad distributions of relaxation times, something which is also observed experimentally in Mn 12 −ac [40]. Indeed, assuming realistic concentrations of dislocations, Garanin and Chudnovsky [40] have been able to account for the experimentally observed tunneling in Mn 12 −ac [49], and predict a distribution in the uniaxial spin-spin coupling parameter σ D ≈ 0.027D, which is of the same order as we have found from linewidth analyses (σ D ≈ 0.01 − 0.02D). It should be pointed out, however, that any disorder amongst the ligand molecules, as well as any loss of solvent molecules, may be expected to produce many of the same effects as those proposed by Garanin and Chudnovsky [40], i.e.…”
Section: Discussionmentioning
confidence: 72%
“…Several EPR (and INS) experiments have indicated the presence of significant fourth order single-ion transverse anisotropies for both Mn 12 − ac [16,26,32,35] and Fe 8 Br [33,35]. Nevertheless, fourth order anisotropy cannot fully explain the observed spacing in magnetic field of magnetization steps observed in low temperature hysteresis experiments [49], and there remains considerable disagreement as to the magnitude of the fourth order terms [16,26,32,33,34,35,51]. Consequently, higher resolution EPR measurements are neces-sary in order to refine estimates of the Hamiltonian parameters, and to determine whether EPR lineshapes contain additional information concerning the MQT phenomenon.…”
It is shown that our multi-high-frequency (40 − 200 GHz) resonant cavity technique yields distortion-free high field EPR spectra for single crystal samples of the uniaxial and biaxial spin S = 10 single molecule magnets (SMMs) The observed lineshapes exhibit a pronounced dependence on temperature, magnetic field, and the spin quantum numbers (M S values) associated with the levels involved in the transitions.Measurements at many frequencies allow us to separate various contributions to the EPR linewidths, including significant D−strain, g−strain and broadening due to the random dipolar fields of neighboring molecules. We also identify asymmetry in some of the EPR lineshapes for Fe 8 , and a previously unobserved fine structure to some of the EPR lines for both the Fe 8 and Mn 12 systems. These findings prove relevant to the mechanism of quantum tunneling of magnetization in these SMMs.
“…1 suggest that the spin levels are inhomogeneously broadened, since a mixture of Gaussian and Lorentzian lineshapes provide the best fits to the data. A significant contribution to this broadening is likely due to a distribution in D and/or g values (strain), in additon to possible random dipolar or hyperfine fields; we note, a spread in D and/or g would not affect the zero field quantum tunneling resonance which has been shown to be Lorentzian in the Mn 12 system by Friedman et al [25]. To verify this, we plot the M S dependence of the linewidths in Fig.…”
We use a multi-high-frequency resonant cavity technique to obtain EPR spectra for single crystal samples of the biaxial molecular magnet Fe 8 [(tacn) 6 O 2 (OH) 12 ]Br 8 ·9H 2 O (Fe 8 ). By performing measurements at many closely spaced frequencies, we are able to extrapolate data back to zero magnetic field and, thereby, obtain accurate estimates of the zero-field splittings. Furthermore, from the (low-) field dependence of these splittings, with the magnetic field parallel to the easy axis, we can directly measure the g z -value. Measurements performed with the magnetic field parallel to the intermediate and hard axes may be used to constrain further the Hamiltonian parameters. Our results are in broad agreement with recent inelastic neutron scattering data. In addition, analysis of individual resonances (which we can assign to known transitions) reveals a pronounced M S dependence of the resonance line widths. Furthermore, the line positions exhibit complex (again M S dependent) temperature dependences that cannot be reconciled with the standard spin Hamiltonian.
“…Thus the transverse anisotropy and the transverse field generated by dislocations [see, e.g., Eq. (27)] are typically small in comparison with the uniaxial term in the Hamiltonian of the ideal crystal. In this situation one can obtain the tunneling splittings ∆ mm ′ of resonant pairs of levels in the lowest-order of the perturbation theory.…”
Section: Tunnel Splittingsmentioning
confidence: 99%
“…6 There exist two macroscopic experimental approaches to the study of spin tunneling in Mn 12 (see, e.g., Refs. 6,7,8,25,26,27,28,29,10,9,30,11,12,31,32 and references therein). Both clearly demonstrate the effect of resonant spin tunneling.…”
Comprehensive theory of quantum spin relaxation in Mn12 acetate crystals is developed, that takes into account imperfections of the crystal structure and is based upon the generalization of the LandauZener effect for incoherent tunneling from excited energy levels. It is shown that linear dislocations at plausible concentrations provide the transverse anisotropy which is the main source of tunneling in Mn12. Local rotations of the easy axis due to dislocations result in a transverse magnetic field generated by the field applied along the c-axis of the crystal, which explains the presence of odd tunneling resonances. Long-range deformations due to dislocations produce a broad distribution of tunnel splittings. The theory predicts that at subkelvin temperatures the relaxation curves for different tunneling resonances can be scaled onto a single master curve. The magnetic relaxation in the thermally activated regime follows the stretched-exponential law with the exponent depending on the field, temperature, and concentration of defects.
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