Energy Transport Induced by an External Alternating Field in Strongly Disordered Media

Burin, Alexander L.; Kagan, Yuri; Polishchuk, I. Ya.

doi:10.1103/physrevlett.86.5616

Cited by 15 publications

(20 citation statements)

References 21 publications

(45 reference statements)

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“…This equation is equivalent to twodimensional tightly binding system with static electric field and off-diagonal randomness in k−direction. Roughly speaking, we found that at least in monochromatically perturbed 1DDS complicated phenomena based on two kinds of the localization, Anderson localization and Stark-ladder localization, are mixed 22,23,24 . It is difficult to analytically get the exact evidence for the localization because our system is a nonseparable system.…”

Section: Monochromatically Perturbed Case (L=1)mentioning

confidence: 87%

Delocalization and Dissipative Property in 1d Disordered System With Oscillatory Perturbation

Yamada

2003

Fundamental Aspects of Quantum Physics

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Energy relaxation dynamics in a simple quantum model of electron-phonon system is numerically investigated. We show delocalization in one-dimensional disordered electronic system with coherent harmonic perturbations. The appearance of the delocalization implies that the system has potential for irreversibility and dissipation. Next, we investigate dissipative property of the dynamically delocalized state and show that an irreversible quasistationary energy flow indeed appears in the form of a "heat" flow when we couple the perturbed system with an autonomous mode.

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Section: Monochromatically Perturbed Case (L=1)mentioning

confidence: 87%

Delocalization and Dissipative Property in 1d Disordered System With Oscillatory Perturbation

Yamada

2003

Fundamental Aspects of Quantum Physics

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“…In this work, we show that including interactions in the TLS model with a recently proposed mechanism [8] strongly affects the nonlinear stationnary dielectric susceptibility χ ′ of amorphous insulators at a few kHz. A very complete set of such data was published a few years ago by Rogge et al [9], twenty years after the pioneering work of Frossati et al [10].…”

mentioning

confidence: 80%

“…Recently, Burin et al [8] proposed an additional field-induced relaxation mechanism. They show that the resonant dipole-dipole coupling, which is so small in glasses, can be strongly increased by a low-frequency electric field.…”

Section: A Burin Et Al 'S Mechanismmentioning

confidence: 99%

“…In the first part, we show that the standard TLS model cannot explain the low-frequency experimental data below 100 mK since it yields, at low T , the above-mentioned quantum saturation phenomenon. In a second part, interactions between defects are added by using an interaction mechanism proposed very recently by Burin et al [8], and a successful agreement is obtained with experiments. Finally, we briefly discuss experimental predictions implied by Burin et al's interaction mechanism.…”

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confidence: 90%

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Onset of the nonlinear dielectric response of glasses in the two-level system model

Cochec¹,

Ladieu²

2003

Eur. Phys. J. B

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We have calculated the real part χ ′ of the nonlinear dielectric susceptibility of amorphous insulators in the kHz range, by using the two-level system model and a nonperturbative numerical quantum approach. At low temperature T , it is first shown that the standard two-level model should lead to a decrease of χ ′ when the measuring field E is raised, since raising E increases the population of the upper level and induces Rabi oscillations cancelling the ones induced from the ground level. This predicted E-induced decrease of χ ′ is at odds with experiments. However, a good agreement with low-frequency experimental nonlinear data is achieved if, in our fully quantum simulations, interactions between defects are taken into account by a new relaxation rate whose efficiency increases as √ E, as was proposed recently by Burin et al. (Phys. Rev. Lett. 86, 5616 (2001)). In this approach, the behavior of χ ′ at low T is mainly explained by the efficiency of this new relaxation channel. This new relaxation rate could be further tested since it is shown that it should lead: i) to a completely new nonlinear behavior for samples whose thickness is ≃ 10 nm; ii) to a decrease of nonequilibrium effects when E is increased. PACS numbers: 61.43.Fs,77.22.Ch,72.20.Ht Amorphous materials exhibit universal anomalous properties at low temperature. In 1971, Zeller and Pohl [1] discovered below 1 K a quasilinear behavior of the specific heat in a number of glasses contrasting with the Debye law of crystalline materials. Anderson, Halperin, Varma [2] and Phillips [3] proposed an explaination based upon the existence of localized two-level systems (TLS). Their origin may be due to the tunneling of atoms or groups of atoms between two equilibrium positions separated by a narrow energy barrier featuring asymmetric two-well potentials. They are assumed randomly distributed in energy splittings and tunneling barriers as a consequence of the structural disorder of these materials. This model has proven to be successful to understand most salient experimental features.The standard TLS model assumes defects do not interact with one another. However, defects are strongly coupled to their environment and can emit or absorb phonons. It leads to an indirect interaction between nearest neighbors via the phonon field [4]. Certain recent failures to explain nonequilibrium data (at a few kHz) [5] underscore the likely involvement of these interactions below 100 mK. However, these nonequilibrium effects are small corrections of the kHz stationnary response, and, up to recently, examples of stationnary susceptibilities strongly affected by interactions were very rare : in the kHz regime, it was argued that the ultra-low-T (T ≃ 1 mK) plateau of the dielectric constant in the linear regime, strongly different from the expected logarithmic increase, resulted from interactions [6]. Very recently, such a conclusion was drawn from internal friction experiments [7].In this work, we show that including interactions in the TLS model with a recently proposed m...

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“…For resonant pairs one has ∆ p ≤ ∆ 0p ≪ E 1 ≈ E 2 ≈ T and, therefore, one can omit ∆ p in the argument of the δ− function in (19). The concentration of resonant pairs P…”

Section: Relation Between the Permittivity And Many-body Relax-ationmentioning

confidence: 99%

Effect of Nuclear Quadrupole Interaction on the Relaxation in Amorphous Solids

et al. 2005

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Recently it has been experimentally demonstrated that certain glasses display an unexpected magnetic field dependence of the dielectric constant. In particular, the echo technique experiments have shown that the echo amplitude depends on the magnetic field. The analysis of these experiments results in the conclusion that the effect seems to be related to the nuclear degrees of freedom of tunneling systems. The interactions of a nuclear quadrupole electrical moment with the crystal field and of a nuclear magnetic moment with magnetic field transform the two-level tunneling systems inherent in amorphous dielectrics into many-level tunneling systems. The fact that these features show up at temperatures T < 100mK , where the properties of amorphous materials are governed by the long-range R −3 interaction between tunneling systems, suggests that this interaction is responsible for the magnetic field dependent relaxation. We have developed a theory of many-body relaxation in an ensemble of interacting many-level tunneling systems and show that the relaxation rate is controlled by the magnetic field. The results obtained correlate with the available experimental data. Our approach strongly supports the idea that the nuclear quadrupole interaction is just the key for understanding the unusual behavior of glasses in a magnetic field.

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Energy Transport Induced by an External Alternating Field in Strongly Disordered Media

Cited by 15 publications

References 21 publications

Delocalization and Dissipative Property in 1d Disordered System With Oscillatory Perturbation

Delocalization and Dissipative Property in 1d Disordered System With Oscillatory Perturbation

Onset of the nonlinear dielectric response of glasses in the two-level system model

Effect of Nuclear Quadrupole Interaction on the Relaxation in Amorphous Solids

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