1989
DOI: 10.1080/00018738900101162
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Localized states in glasses

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Cited by 200 publications
(107 citation statements)
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“…Of course, in such cases free energy formulations must be employed that allow one to count the number of configurational states unambiguously, while using "inherent" structures based on potential energy stationary points alone is of limited utility. The strongly quantum case can be loosely understood by transcribing the complex multiparticle rearrangements onto a single collective "reaction" coordinate (as in the soft potential model (Galperin et al, 1991)). In fact, this analogy to a single coordinate soft potential model is quite loose because of the much higher density of states of the ripplons (that give rise to the Boson Peak and correspond to the vibrations of the membrane) compared with the density of states of the soft potential model, which is one dimensional so that only one coordinate is vibrationally excited.…”
Section: Quantum Effects Beyond the Strict Semi-classical Picture mentioning
confidence: 99%
“…Of course, in such cases free energy formulations must be employed that allow one to count the number of configurational states unambiguously, while using "inherent" structures based on potential energy stationary points alone is of limited utility. The strongly quantum case can be loosely understood by transcribing the complex multiparticle rearrangements onto a single collective "reaction" coordinate (as in the soft potential model (Galperin et al, 1991)). In fact, this analogy to a single coordinate soft potential model is quite loose because of the much higher density of states of the ripplons (that give rise to the Boson Peak and correspond to the vibrations of the membrane) compared with the density of states of the soft potential model, which is one dimensional so that only one coordinate is vibrationally excited.…”
Section: Quantum Effects Beyond the Strict Semi-classical Picture mentioning
confidence: 99%
“…The soft-potential model, an extension of the well-known two-level system model, is capable of explaining the thermal properties of amorphous solids up to 100 K. 22 It postulates the existence of ''soft potentials,'' which are local defects with small harmonic constants. In case the lowest energy levels have a separation smaller than a characteristic energy W, they reduce to two-level systems.…”
Section: Elastic-scattering Mechanismsmentioning
confidence: 99%
“…Since the tunneling probability depends exponentially on the distance between a trap and the channel there is an exponentially wide distribution of the characteristic times, . A wide distribution of  results in the 1/f overall noise spectral density is written as [27][28] [9][10][11][12][13][14][15]. The above scenario also leads not only to decrease of noise at some gate bias but also to increase of the noise at other gate bias, which was not observed experimentally.…”
mentioning
confidence: 99%
“…In the framework of the mobility-fluctuation model, the noise spectral density of the elemental fluctuation events contributing to 1/f noise in any material is given by [27][28] ). In graphene,  is limited by the long-range Coulomb scattering from charged defects even at room temperature (RT) [29][30], in contrast to semiconductors or metals,…”
mentioning
confidence: 99%