Seebeck coefficient, Peltier coefficient, and figure of merit ZT

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Question Description

Stating all the relevant equations, briefly explain how:

1. to investigate electron-phonon scattering via nonequilibrium Green’s function approach and the effect on Seebeck

2. to calculate the Seebeck coefficient, S, of a tunnel transistors, the figure of merit using Landauer approach

3. to determine the transmission coefficient of electrons tunneling between closely aligned graphene lattices using Bardeen transfer Hamiltonian approach

Give the references.

Tutor Answer

Chegecharles
School: Cornell University

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Running head: Seebeck coefficient, Peltier coefficient, and figure of
merit ZT

Seebeck coefficient, Peltier coefficient, and figure of merit ZT

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Running head: Seebeck coefficient, Peltier coefficient, and figure of
merit ZT

Seebeck coefficient, Peltier coefficient, and figure of merit ZT
Introduction
Thermoelectric material work under the concept of figure of merit (zT ) , which is expressed as;

S 2
zT =
T
k
Where k is the thermal conductivity, δ is the electrical conductivity, S is the coefficient of
seebeck, while T is the mean temperature between the cold and the hot contacts [1]. To facilitate
enhancement of the figure of merit, to approaches are typically followed. First, the thermal
conductivity k is lowered. The second approach involves improving the power component
( S 2 ) . Electronic Engineering is aimed at manipulating the power factor of a thermal electric
generator and to enhance power generation. Reinforcement of generated power is done through
energy filtering at a specific operating efficiency. This is a property of unmerged scattering and
is not available in ballistic appliances. By allowing for a relaxation time  ( E ) = kE r , that is
dependent on energy, we derive the value rmin . This is the least value that will lead to enhanced
generation of thermoelectric power.
How to investigate electron-phonon scattering via non-equilibrium Green’s function
approach and the effect on Seebeck
There has been progressive research to improve understanding and performance of carbonnanotube (CNT) transmits, since their first demonstration in 1998. Both optoelectric and
electronic devices have been realized based on CNTs, as well as optimization of the fabrication
process. At low temperatures, CNTs ballistic transport has been demonstrated experimentally [2]
The formalism of non-equilibrium Green’s Function (NEGF) has been used to explain transport
in dissipative quantum for nanoscale devices [3]. Different structures that use channel
conducting have prompted use of variations of nontrivial form in the application of NEGF
Approaches. Phonon scattering finds a wide range of application in organic nanostr...

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Anonymous
Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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