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Related Concept Videos

Electrical Conductivity01:13

Electrical Conductivity

1.9K
In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
1.9K
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

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The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect.
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Electrical Transport01:29

Electrical Transport

26
The electrical transport property of a material is defined by its resistance and conductivity. Resistance is the measure of a material's ability to resist the flow of electric current, while conductivity gauges its ability to allow the current to pass through, depending on the geometry of the measurement cell, such as electrode spacing and area. Conductivity is measured in Siemens (S). There are different types of conductance, including specific conductance, equivalent conductance, and molar...
26
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

1.4K
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.
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Theory of Metallic Conduction01:17

Theory of Metallic Conduction

1.9K
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
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Resistivity01:22

Resistivity

4.7K
When a voltage is applied to a conductor, an electrical field is generated, and charges in the conductor feel the force due to the electrical field. The current density that results depends on the electrical field and the properties of the material. In some materials, including metals at a given temperature, the current density is approximately proportional to the electrical field. In these cases, the current density can be modeled as:
4.7K

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Development of a 3D Graphene Electrode Dielectrophoretic Device
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Dynamical electrical conductivity of graphene.

Luxmi Rani1, Navinder Singh1

  • 1Theoretical Physics Division, Physical Research Laboratory, Ahmedabad-380009, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|April 25, 2017
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Summary

This study explores graphene's electrical conductivity using the memory function formalism. New findings reveal temperature-dependent scattering rates and a modified Holstein mechanism, offering insights into electron dynamics in Dirac materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Solid-State Physics

Background:

  • Graphene exhibits T^4 DC resistivity at low temperatures and T-linear at high temperatures, as predicted by Bloch-Grüneisen theory.
  • Previous studies relied on the Bloch-Boltzmann kinetic equation for DC resistivity in graphene.

Purpose of the Study:

  • Investigate the dynamical electrical conductivity of graphene beyond DC limits.
  • Utilize the memory function formalism to uncover novel behaviors in graphene's electrical transport.
  • Provide theoretical predictions for experimental verification in advanced graphene research.

Main Methods:

  • Application of the memory function formalism to analyze dynamical electrical conductivity.
  • Theoretical investigation of electron scattering mechanisms in graphene.
  • Analysis of conductivity across various frequency and temperature regimes.

Main Results:

  • Zero-frequency conductivity matches established T^4 and T-linear behaviors.
  • Generalized Drude scattering rate exhibits a novel power-law at low frequencies and saturates at high frequencies in the zero-temperature limit.
  • Observed the Holstein mechanism with distinct power laws compared to conventional metals.
  • Generalized Drude scattering rate shows temperature linearity at higher frequencies and temperatures.

Conclusions:

  • The memory function formalism provides a powerful tool for understanding complex transport phenomena in graphene.
  • New insights into electron scattering mechanisms and their frequency/temperature dependence in graphene.
  • Theoretical results pave the way for experimental validation and further exploration of graphene's electrical properties.