Hopping conductivity in ordered and disordered solids (II)

Böttger, H.; Bryksin, V. V.

doi:10.1002/pssb.2220780202

Cited by 151 publications

(47 citation statements)

References 162 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to the principle of minimum entropy production of Prigogine, this reaction of the system will enhance the conductivity obtained from eq. (24). Because the estimation of the additional, diffusive current is a nontrivial task that needs the self-consistent determination of δμ n , see [21], we will restrict our study to the direct current, thus limiting the validity of our results to the region of not too strong deformations of the lattice.…”

Section: Hopping Conductivitymentioning

confidence: 98%

“…The problem is that the expression (24) gives the correct conductivity only for "regular" lattices. Our atom distributions, however, are very nonuniform, and we may have therefore a second contribution to the conductivity which stands for the nonuniformity [24][25][26][27] …”

Section: Hopping Conductivitymentioning

confidence: 99%

“…To study the evolution of the additional electrons interacting with the atoms, we assume a tight-binding model Hamiltonian of hopping type [21,[24][25][26] …”

Section: Hamiltonian In Tight-binding Approximationmentioning

confidence: 99%

“…In difference to earlier work [2,6] we use here the tight-binding approximation [24][25][26] as more appropriate to the kind of problems treated here [26].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hopping Transport and Stochastic Dynamics of Electrons in Plasma Layers

Chetverikov

Ébeling

Röpke

et al. 2011

Contrib. Plasma Phys.

View full text Add to dashboard Cite

We investigate the stochastic dynamics and the hopping transfer of electrons embedded into two-dimensional atomic layers. First we formulate the quantum statistics of general atom -electron systems based on the tightbinding approximation and express -following linear response transport theory -the quantum-mechanical time correlation functions and the conductivity by means of equilibrium time correlation functions. Within the relaxation time approach an expression for the effective collision frequency is derived in Born approximation, which takes into account quantum effects and dynamic effects of the atom motion through the dynamic structure factor of the lattice and the quantum dynamics of the electrons. In the last part we derive Pauli equations for the stochastic electron dynamics including nonlinear excitations of the atomic subsystem. We carry out Monte Carlo simulations and show that mean square displacements of electrons and transport properties are in a moderate to high temperature regime strongly influenced by by soliton-type excitations and demonstrate the existence of percolation effects.

show abstract

Section: Hopping Conductivitymentioning

confidence: 98%

Section: Hopping Conductivitymentioning

confidence: 99%

“…To study the evolution of the additional electrons interacting with the atoms, we assume a tight-binding model Hamiltonian of hopping type [21,[24][25][26] …”

Section: Hamiltonian In Tight-binding Approximationmentioning

confidence: 99%

“…In difference to earlier work [2,6] we use here the tight-binding approximation [24][25][26] as more appropriate to the kind of problems treated here [26].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hopping Transport and Stochastic Dynamics of Electrons in Plasma Layers

Chetverikov

Ébeling

Röpke

et al. 2011

Contrib. Plasma Phys.

View full text Add to dashboard Cite

show abstract

“…In the QMT model, the relaxation time is given by τ ∝ exp(2αR) where α is the decay constant for the s-like wavefunction assumed to describe the localized states and R is the distance separating localized states. The real part of the AC conductivity due to electron tunnelling can be calculated [15,16] using σ (ω) = π 4 384…”

Section: Quantum-mechanical Tunnelling Modelsmentioning

confidence: 99%

AC conductivity of unconventional bismuth cuprate glass

Hazra¹,

Ghosh²

1997

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Abstract. The frequency dependence of the AC electrical conductivity of different compositions of bismuth cuprate glasses has been presented in the temperature range 80-400 K. The conductivity data have been analysed in terms of different theoretical models to determine the possible conduction mechanism. Analysis of the conductivity data and the frequency exponent shows that the correlated barrier hopping of electrons between Cu + and Cu 2+ ions in the glasses is the most favourable mechanism for AC conduction. The different parameters obtained from the fits of this model to the experimental data are reasonable. The high value of the dielectric constant observed in this glass system can be attributed to the influence of the high polarizability of the Bi 3+ ions of the unconventional network former Bi 2 O 3 on the AC response.

show abstract