Chamberlin, Mozurkewich, and Orbach Respond

Chamberlin, Ralph V.; Mozurkewich, George; Orbach, Raymond Lee

doi:10.1103/physrevlett.53.1025

Cited by 55 publications

(57 citation statements)

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“…The common stretched-exponential form is a semiempirical construction that is often used to describe relaxation curves in disordered systems for various quantities, for example, magnetic or dielectric relaxation, [61][62][63] or dispersive transport in amorphous semiconductors. 26 Although the physical mechanisms that may be responsible for the behavior remain a source of intense debate, 20,25,26,58,64,65 the form has been FIG.…”

Section: Resultsmentioning

confidence: 99%

Multiexponential photoluminescence decay of blinking nanocrystal ensembles

et al. 2009

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We investigate the relationship between the multiexponential photoluminescence ͑PL͒ dynamics of large nanocrystal ͑NC͒ ensembles and the intensity intermittency ͑blinking͒ characteristic of single NCs. A general model is developed and a simple fitting form derived for the analysis of PL decay curves allowing the extraction of both the intrinsic radiative recombination rate and an intensity intermittence parameter. The analysis is applied to the PL of a series of Si-NCs embedded in silicon oxide matrices yielding a good agreement between extracted and theoretical recombination rates. An excellent agreement is furthermore reported between the range of power-law exponents obtained and those previously determined through both single-NC experiments and current blinking mechanism theory. We suggest that a similar approach may well be fruitful in the analysis of time-resolved PL for a large variety of other carrier-confined materials.

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Section: Resultsmentioning

confidence: 99%

Multiexponential photoluminescence decay of blinking nanocrystal ensembles

et al. 2009

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“…Note that x(q) -+ 0 as T~ 2013 T -+ 0 in the SK spin glass model, yielding a very slow relaxation (experiments [6,7] show that the power of t in the exponent goes to zero as T approaches TJ.…”

Section: B ~ / Exponential Behaviourmentioning

confidence: 99%

“…To summarize we have pointed out that independent random levels that occur in spin glasses, with a trivially simple hypothesis on the transition probability between levels (states) lead to the omnipresent [1][2][3][4][5][6][7] stretched exponential behaviour.…”

Section: B ~ / Exponential Behaviourmentioning

confidence: 99%

“…Glassy relaxation, it has been pointed out [1][2][3][4], often follows a stretched exponential form and dynamical mechanisms have been suggested [5] that give rise to a exp -(t/,r) I -n, 0 n 1, relaxation. This is in particular the case of spin glass material below freezing temperature [6][7]. Concerning this last material, its mean field theory has recently been illuminated by the work of Mezard et al [8].…”

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confidence: 99%

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Stretched exponential relaxation in systems with random free energies

1985

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2014 Un verre de spin est caractérisé par un grand nombre d'états (ou fond de vallées) quasidégénérés. Il a été montré récemment que leurs énergies libres Fa = F0 + fa, où fa est une fluctuation non extensive, se comportent en variables aléatoires indépendantes, comme dans le modèle de Derrida. Nous considérons la relaxation vers l'équilibre de tels systèmes. En particulier nous considérons une simple approximation pour la probabilité de transition (dans l'équation maîtresse) qui conduit à un temps de relaxation aléatoire de la forme 03C4 ~ exp 03B2 0394F où-03B2(F0 + AF) = ln 03A3 exp(2014 03B2Fa). La relaxation vers l'équilibre qui en découle, a la forme d'une exponentielle étirée, un comportement commun à une large classe de matériaux. La façon dont un tel résultat dépend du choix de la probabilité de transition, est abordée.

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“…For spin glass CuMn2%, the exponent 1 − ≈ 1/3 that deviates significantly from the conventional Debye behavior of 1 − = 1. This is consistent with the previous studies on several other dilute magnetic alloys such as CuMn1% and AgMn2.6% [117] , NiMn23.5% [118], Au90Fe10 [119]. This deviation observed in the spin glasses was ascribed to the underlying hierarchically constrained dynamics [120--123].…”

Section: Universal Memory Behaviorsupporting

confidence: 92%

Jamming in Spin Systems

Samarakoon¹

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Dedicated to my family and all my teachers.i "The true sign of intelligence is not knowledge but imagination." Albert Einsteinii Abstract Since the discovery of spin glasses in dilute magnetic systems, their study has been largely focused on understanding randomness and defects as the driving mechanism. The same paradigm has also been applied to explain glassy states found in dense frustrated systems. Recently, however, it has been theoretically suggested that different mechanisms, such as quantum fluctuations and topological features, may induce glassy states in defect-free spin systems, far from the conventional dilute limit. Here we report experimental evidence for the existence of a glassy state, that we call a spin jam, in the vicinity of the clean limit of a frustrated magnet, which shows unconventional spin glass properties, such as the quadratic low-temperature dependence of heatcapacity, a broad elastic neutron scattering peak centred around a non-zero wavevector ( ), and insensitivity to low-concentration of defects. We have mainly studied two isostructural frustrated magnets, SrCr9pGa12-9pO19 (SCGO(p)) and BaCr9pGa12-9pO19 (BCGO(p)), in which the magnetic Cr 3+ (s=3/2) ions form a quasi-two-dimensional (Q2D) triangular system of bi-pyramids, in comparison to several other magnetic glasses ranging from dilute magnetic alloys to threedimensional frustrated magnets.We performed both bulk susceptibility and neutron scattering experiments on both SCGO(p) and BCGO(p) systems as a function of dilution p in the range of 0.4 ≲ p ≲0.97. Our bulk susceptibility data exhibit glassy behavior at much lower temperatures ( ) than the absolute values of the Curie-Weiss temperature, | | ≈ -504(2) K for SCGO(p = 0.968(6)) and -695(1) K for BCGO(p = 0.902(8)). The frustration index = | |/ is as high as 130 for SCGO(p = 0.968(6)) and 190for BCGO(p = 0.902(8)) indicating strong frustration. Low-temperature susceptibility measurements of SCGO(p)/BCGO(p) reveals glass-like signatures such as zero-field cooled (ZFC) -field cooled (FC) hysteresis and frequency dependent AC susceptibility but the low-temperature magnetic phases found in the dense limit of magnetic ions show distinct properties from conventional spin glasses.Our inelastic neutron scattering data on SCGO(p = 0.968(6)) and BCGO(p = 0.902(8)) shows dispersionless magnetic excitations centered at ℏω = 18.6(1) meV and 16.5(1) meV respectively, due to singlet to triplet excitations of spin s = 3/2 dimers. The spin dimers are formed by Cr 3+ ions in two 4fvi layers that lie between 12k-2a-12k (kagome-triangle-kagome) trilayers. Moreover, a iii continuum spectrum centered around ≈ 1.5 Å , observed in time-of-flight (TOF) neutron scattering experiments for SCGO(p)/BCGO(p) magnets, confirm that the kagome−triangular−kagome trilayer is responsible for low-energy spin dynamics. The imaginary part of dynamical susceptibility ( ( )) for SCGO(p = 0.968(6)) or BCGO(p = 0.902 (8)) shows linear dependence at low-energies which is inconsistent with energy independent behavior of di...

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Chamberlin, Mozurkewich, and Orbach Respond

Cited by 55 publications

References 3 publications

Multiexponential photoluminescence decay of blinking nanocrystal ensembles

Multiexponential photoluminescence decay of blinking nanocrystal ensembles

Stretched exponential relaxation in systems with random free energies

Jamming in Spin Systems

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