Relaxation in glasses at low temperatures

Burin, Alexander L.; Maksimov, L. A.; Polishchuk, I. Ya.

doi:10.1134/1.1839302

Cited by 29 publications

(59 citation statements)

References 31 publications

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“…As was pointed out in Refs. 17,26,43,44, there is a more efficient way of building a connected spin network and d = α is not a critical dimension in the interacting problem. We give an account of the procedure in Secs.…”

Section: A Direct Spin Networkmentioning

confidence: 99%

“…23,24. Later work emphasized importance of interactions between the two-level systems [16,[25][26][27][28]. Recent experiments with superconducting circuits [29,30] provided a direct way to monitor the two-level systems and demonstrated a crucial role of interactions between them.…”

Section: Introductionmentioning

confidence: 99%

“…The critical dimensionality d = β/2 was found in Refs. 26,28,44 in a model of spins in a randomly directed Zeeman field and with long-range Ising couplings (exponent β). In this model, the dynamics occur only due to local fields, which places it into the same "universality class" as Eq.…”

Section: B Pseudo-spin Networkmentioning

confidence: 99%

“…We find the criterion for the phase transition into the many-body localized phase and summarize the phase diagram of the system. Sections III, IV, V and VI are devoted to the quantitative analysis of the heat conductance in the parameter regime d > αβ/(α + β) within the approximation that neglects the "spectral diffusion" phenomenon [28,39,40] discussed later in Sec. IX.…”

Section: Introductionmentioning

confidence: 99%

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Energy transport in the Anderson insulator

et al. 2016

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We study the heat conductivity in Anderson insulators in the presence of power-law interaction. Particle-hole excitations built on localized electron states are viewed as two-level systems randomly distributed in space and energy and coupled due to electron-electron interaction. A small fraction of these states form resonant pairs that in turn build a complex network allowing for energy propagation. We identify the character of energy transport through this network and evaluate the thermal conductivity. For physically relevant cases of 2D and 3D spin systems with 1/r 3 dipole-dipole interaction (originating from the conventional 1/r Coulomb interaction between electrons), the found thermal conductivity κ scales with temperature as κ ∝ T 3 and κ ∝ T 4/3 , respectively. Our results may be of relevance also to other realizations of random spin Hamiltonians with long-range interactions.

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Section: A Direct Spin Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: B Pseudo-spin Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Energy transport in the Anderson insulator

et al. 2016

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“…In this most recent work it has been shown how the dipole-dipole interaction can lead to a relaxation rate faster than phononic counterpart at very low temperatures. The main idea is based on the delocalization process of the effective TLSs which are the result of two interacting tunneling centers 24,25 . This is in agreement with the experimental results on the magnetic field dependence of the dielectric constant and the effective model proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Effect of the Aharanov-Bohm phase on the magnetic-field dependence of two-pulse echoes in glasses at low temperatures

Akbari

Langari

2005

Phys. Rev. B

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The anomalous response of glasses in the echo amplitude experiment is explained in the presence of a magnetic field. We have considered the low energy excitations in terms of an effective two level system. The effective model is constructed on the flip-flop configuration of two interacting two level systems. The magnetic field affects the tunneling amplitude through the Aharanov-Bohm effect. The effective model has a lower scale of energy in addition to the new distribution of tunneling parameters which depend on the interaction. We are able to explain some features of echo amplitude versus a magnetic field, namely, the dephasing effect at low magnetic fields, dependence on the strength of the electric field, pulse separation effect and the influence of temperature. However this model fails to explain the isotope effects which essentially can be explained by the nuclear quadrupole moment. We will finally discuss the features of our results.

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