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Related Concept Videos

Carrier Transport01:21

Carrier Transport

The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from the...
Continuity Equation01:20

Continuity Equation

The total amount of current flowing per unit cross-sectional area is called the current density. Hence, the current passing through a cross-sectional area can be written as the surface integral of the current density.
Continuity Equation01:28

Continuity Equation

The continuity equation asserts that the mass flow rate must remain constant for a steady flow of an incompressible fluid within a confined system. This principle applies to systems where fluid passes through varying cross-sectional areas, such as nozzles, syringes, and pipes.
The mass flow rate is expressed as:
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
Displacement Current01:19

Displacement Current

Ampère's law, in its usual form, does not work in places where the current changes with time and is not steady. Thus, Maxwell suggested including an additional contribution, called the displacement current, Id, to the real conduction current I.

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Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity
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Steady-state current transfer and scattering theory.

Vered Ben-Moshe1, Dhurba Rai, Spiros S Skourtis

  • 1School of Chemistry, Tel Aviv University, Tel Aviv 69978, Israel.

The Journal of Chemical Physics
|August 17, 2010
PubMed
Summary

This study compares steady-state and scattering theories for current transfer in coupled wires. Decoherence effects were analyzed, showing transmission depends on impurity energy relative to the band, impacting current efficiency.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Mesoscopic physics

Background:

  • Theories of current transfer in low-dimensional systems are crucial for understanding electronic transport.
  • Coupled tight-binding models offer a framework for studying electron behavior in 1D nanostructures.
  • Decoherence significantly impacts quantum phenomena, necessitating its study in transport models.

Purpose of the Study:

  • To explore the correspondence between steady-state current transfer theory and scattering theory.
  • To investigate the influence of decoherence on electron transport in coupled 1D wires.
  • To analyze the role of impurities in modulating scattering and decoherence.

Main Methods:

  • Utilized coupled tight-binding models for 1D wires.
  • Employed a generalized Liouville-von Neumann equation for steady-state decoherence.
  • Studied a single impurity model to develop a lattice scattering model.

Main Results:

  • Steady-state and scattering theories yield similar results for weak interwire coupling, diverging at band edges.
  • Transmission coefficient decreases with increasing dephasing rate for impurity levels within the energy band.
  • Transmission coefficient increases with increasing dephasing rate for impurity levels outside the energy band.
  • Overall current transfer efficiency in coupled wires diminishes as dephasing increases.

Conclusions:

  • The study establishes a strong link between steady-state and scattering theories in coupled 1D systems.
  • Decoherence plays a critical role in modulating electron transport, with its effect dependent on impurity energy levels.
  • Impurity scattering and decoherence are intertwined, influencing both potential scattering and the overall dephasing rate, ultimately reducing current transfer efficiency.