Non-linear conductivity in Coulomb glasses

Caravaca, M.; Voje, Aurora; Bergli, Joakim; Ortuño, M.; Somoza, A. M.

doi:10.1002/andp.200910377

Cited by 6 publications

(9 citation statements)

References 10 publications

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“…It is easy to prove that with this definition the Hamiltonian given by (2) is equivalent toThe inclusion of the components of Q in the leads takes into account the energy provided by the battery and tilt the electric potential along the longitudinal direction y . It is essential to include the effects of the electric field F = V / L through a realistic procedure, such as the previous one, and not through a local change − eFy i , j in the hopping energy, which is standard procedure in electron glass simulations13, since the latter washes out global charging effects21.…”

Section: Methodsmentioning

confidence: 99%

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Electronic transport in two-dimensional high dielectric constant nanosystems

Ortuño

Somoza

Vinokur

et al. 2015

Sci Rep

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There has been remarkable recent progress in engineering high-dielectric constant two dimensional (2D) materials, which are being actively pursued for applications in nanoelectronics in capacitor and memory devices, energy storage, and high-frequency modulation in communication devices. Yet many of the unique properties of these systems are poorly understood and remain unexplored. Here we report a numerical study of hopping conductivity of the lateral network of capacitors, which models two-dimensional insulators, and demonstrate that 2D long-range Coulomb interactions lead to peculiar size effects. We find that the characteristic energy governing electronic transport scales logarithmically with either system size or electrostatic screening length depending on which one is shorter. Our results are relevant well beyond their immediate context, explaining, for example, recent experimental observations of logarithmic size dependence of electric conductivity of thin superconducting films in the critical vicinity of superconductor-insulator transition where a giant dielectric constant develops. Our findings mark a radical departure from the orthodox view of conductivity in 2D systems as a local characteristic of materials and establish its macroscopic global character as a generic property of high-dielectric constant 2D nanomaterials.

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Section: Methodsmentioning

confidence: 99%

“…To simulate hopping conductivity in the system of interacting electrons, we employ a kinetic Monte Carlo method1213. It is customary in the simulations of this kind to produce the electric current via imposing on the system a uniformly distributed electric field.…”

mentioning

confidence: 99%

Electronic transport in two-dimensional high dielectric constant nanosystems

Ortuño

Somoza

Vinokur

et al. 2015

Sci Rep

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“…where τ À1 0 is the phonon frequency, r i,j the hopping distance, ξ loc the localization length and Δ i,j the transition energy, given by our capacitor model. To simulate hopping conductivity in the system of interacting electrons, we employ a kinetic Monte Carlo method 42,43 . The allowed node charges are 0 and ±1.…”

Section: Methodsmentioning

confidence: 99%

“…If C ≲ C 0 the only relevant energies involved are the grain charging energies. The hopping conductivity in the system is calculated using a kinetic Monte Carlo method 42,43 .…”

Section: Activated Behaviormentioning

confidence: 99%

Overactivated transport in the localized phase of the superconductor-insulator transition

et al. 2021

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Beyond a critical disorder, two-dimensional (2D) superconductors become insulating. In this Superconductor-Insulator Transition (SIT), the nature of the insulator is still controversial. Here, we present an extensive experimental study on insulating NbxSi1−x close to the SIT, as well as corresponding numerical simulations of the electrical conductivity. At low temperatures, we show that electronic transport is activated and dominated by charging energies. The sample thickness variation results in a large spread of activation temperatures, fine-tuned via disorder. We show numerically and experimentally that this originates from the localization length varying exponentially with thickness. At the lowest temperatures, there is an increase in activation energy related to the temperature at which this overactivated regime is observed. This relation, observed in many 2D systems shows that conduction is dominated by single charges that have to overcome the gap when entering superconducting grains.

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“…To set the system into a stationary state of conductivity, we set E = T (c.f. [17]). Notice that l 0 = L √ n is our unit of distance and 1/l 0 is our unit of energy and temperature.…”

Section: Introductionmentioning

confidence: 99%

Excitation probability and effective temperature in the stationary regime of conductivity for Coulomb Glasses

Garratón¹,

Fernández–Martínez²

2017

Open Physics

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Abstract:In this paper, we shall illustrate the numerical calculation of the effective temperature in Coulomb glasses by excitation probability provided that the system has been placed in a stationary state after applying a strong electric field. The excitation probability becomes a better alternative than the occupation probability, which has been classically employed to calculate the effective temperature and characterize the thermodynamics of Coulomb glasses out of equilibrium. This is due to the fact that the excitation probability shows better statistics than the occupation probability. In addition, our simulations show that the excitation probability does not depend on the choice of the chemical potential, which critically affects the occupation probability. Our results allow us to propose the excitation probability as a standard procedure to determine the effective temperature in Coulomb glasses as well as in other complex systems such as spin glasses.

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Non-linear conductivity in Coulomb glasses

Cited by 6 publications

References 10 publications

Electronic transport in two-dimensional high dielectric constant nanosystems

Electronic transport in two-dimensional high dielectric constant nanosystems

Overactivated transport in the localized phase of the superconductor-insulator transition

Excitation probability and effective temperature in the stationary regime of conductivity for Coulomb Glasses

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