Dynamic measurements in a Heisenberg spin glass: CuMn

Chu, Dongliang; Kenning, G. G.; Orbach, Raymond Lee

doi:10.1103/physrevlett.72.3270

Cited by 86 publications

(56 citation statements)

References 11 publications

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“…Further, from Fig. 5, we find a value for T * = 27.8 K. The former is in rather remarkable agreement with experiments on three dimensional spin glasses [35,36], and the latter with the value extracted using a critical slowing down analysis in [10] of T g = 26 K.…”

Section: Spin Glass Dynamics For Uniform Thin Filmssupporting

confidence: 89%

“…When the magnetic field is removed, measurements by Chu et al [36], along with other observations of a similar nature by Vincent et al [37], suggest that a change in magnetic field reduces the barriers in the initially occupied field cooled magnetization manifold, M FC , by the change in Zeeman energy E Z . This reduction can be thought of conceptually as diffusion between states of constant M FC through intermediate states of lower Zeeman energy [38].…”

Section: Very Long Time Behavior Of Mtrm(t T)mentioning

confidence: 82%

“…This reduction can be thought of conceptually as diffusion between states of constant M FC through intermediate states of lower Zeeman energy [38]. States within the M FC manifold with barriers less than the Zeeman energy change are emptied instantaneously into the M = 0 manifold [35,36]. The Zeeman energy change is given by,…”

Section: Very Long Time Behavior Of Mtrm(t T)mentioning

confidence: 99%

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Spin glass dynamics at the mesoscale

et al. 2015

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The mesoscale allows a new probe of spin glass dynamics. Because of the spin glasses lower critical dimension d l > 2, the growth of the correlation length ξ(t, T ) can change the nature of the spin glass state at a crossover time tco when ξ(tco, T ) = ℓ, a minimum characteristic sample length (i.e. film thickness for thin films and crystallite size for bulk samples). For thin films, and times t < tco such that ξ(t, T ) < ℓ, conventional three dimensional dynamics are observed. When t > tco, a crossover to d = 2 behavior takes place. The parallel correlation length, associated with a Tg = 0 transition, increases in time from the saturated value of the perpendicular correlation length ℓ to an equilibrium value of the parallel correlation length proportional to T −ν . This results in a pancake-like correlated state, with a thickness ℓ and a temperature dependent in-plane radius that increases with decreasing temperature. Activated dynamics are associated with these states. Measurements on Cu:Mn thin films are analyzed quantitatively within this framework. We extract a temperature dependent activation energy from a fit to the frequency dependence of the dynamic susceptibility. The extrapolated temperature at which the activation energy would become large is close to the extrapolated glass transition temperature from ac susceptibility measurements. All known relevant experimental data are consistent with this approach. For polycrystalline materials, there is a distribution of length scales P(ℓ). For sufficiently broad distributions, a logarithmic time dependence is derived for the time decay of the thermoremanent magnetization MTRM(t, T ) using an approach originally derived by Ma. Properties dependent upon an effective waiting time t eff w are derived that are consistent with experiment, and further measurements are suggested.

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Section: Spin Glass Dynamics For Uniform Thin Filmssupporting

confidence: 89%

Section: Very Long Time Behavior Of Mtrm(t T)mentioning

confidence: 82%

Section: Very Long Time Behavior Of Mtrm(t T)mentioning

confidence: 99%

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Spin glass dynamics at the mesoscale

et al. 2015

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“…Theoretically 18,19 and experimentally 20,21,22,23,24,25,26,27,28,29,30 it has been accepted that the time variation of χ ZF C (t) may be described by a product of a power-law form and a stretched exponential function…”

Section: B Stretched Exponential Relaxation In the Sg Phasementioning

confidence: 99%

Aging dynamics in a reentrant ferromagnet:Cu0.2Co0.8Cl2−FeCl3
Suzuki
¹
,
Suzuki
²

2005
Phys. Rev. B
3
2
4
0
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Aging dynamics of a reentrant ferromagnet Cu0.2Co0.8Cl2-FeCl3 graphite bi-intercalation compound has been studied using AC and DC magnetic susceptibility. This compound undergoes successive transitions at the transition temperatures Tc (= 9.7 K) and TRSG (= 3.5 K). The relaxation rate S(t) exhibits a characteristic peak at tcr close to a wait time tw below Tc, indicating that the aging phenomena occur in both the reentrant spin glass (RSG) phase below TRSG and the ferromagnetic (FM) phase between TRSG and Tc. The relaxation rate S(t) (= dχZF C (t)/d ln t) in the FM phase exhibits two peaks around tw and a time much shorter than tw under the positive T -shift aging, indicating a partial rejuvenation of domains. The aging state in the FM phase is fragile against a weak magnetic-field perturbation. The time (t) dependence of χZF C (t) around t ≈ tcr is well approximated by a stretched exponential relaxation: χZF C (t) ≈ exp[−(t/τ ) 1−n ]. The exponent n depends on tw, T , and H. The relaxation time τ (≈ tcr) exhibits a local maximum around 5 K, reflecting a chaotic nature of the FM phase. It drastically increases with decreasing temperature below TRSG.

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“…[73,76,77] On the other hand, in Heisenberg spin glasses with RKKY interactions between the spins such as dilute CuMn and AuFe alloys, the persistence of a frozen spin glass phase in a strong magnetic field was inferred through magnetization and torque measurements. [78][79][80][81] The latter measurements do not, however, prove the existence of a (spin glass) phase transition in finite field.…”

Section: Q(t) ∼ T −X Exp −(T/τ )mentioning

confidence: 88%

NMR Studies of the Vanadium Spin Dynamics and Spin Structure in LiV2O4, CaV2O4, and (LixV1-x)3BO5 (x ≈ 0.33, 0.40)

Zong

2007

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Dynamic measurements in a Heisenberg spin glass: CuMn

Cited by 86 publications

References 11 publications

Spin glass dynamics at the mesoscale

Spin glass dynamics at the mesoscale

Aging dynamics in a reentrant ferromagnet:Cu0.2Co0.8Cl2−FeCl3
Suzuki
¹
,
Suzuki
²

2005
Phys. Rev. B
3
2
4
0
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NMR Studies of the Vanadium Spin Dynamics and Spin Structure in LiV<sub>2</sub>O<sub>4</sub>, CaV<sub>2</sub>O<sub>4</sub>, and (Li<sub>x</sub>V<sub>1-x</sub>)<sub>3</sub>BO<sub>5</sub> (x ≈ 0.33, 0.40)

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Dynamic measurements in a Heisenberg spin glass: CuMn

Cited by 86 publications

References 11 publications

Spin glass dynamics at the mesoscale

Spin glass dynamics at the mesoscale

Aging dynamics in a reentrant ferromagnet:Cu0.2Co0.8Cl2−FeCl3Suzuki1, Suzuki2 2005Phys. Rev. B3240View full textAdd to dashboardCite

NMR Studies of the Vanadium Spin Dynamics and Spin Structure in LiV<sub>2</sub>O<sub>4</sub>, CaV<sub>2</sub>O<sub>4</sub>, and (Li<sub>x</sub>V<sub>1-x</sub>)<sub>3</sub>BO<sub>5</sub> (x ≈ 0.33, 0.40)

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Aging dynamics in a reentrant ferromagnet:Cu0.2Co0.8Cl2−FeCl3
Suzuki
¹
,
Suzuki
²

2005
Phys. Rev. B
3
2
4
0
View full text Add to dashboard Cite