1. First steps towards the PhD thesis
Tran Van Truong

2. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear.
Solving some Eqs by Green function method.
Electronic transport with Green function method.

3. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear.
Solving some Eqs by Green function method.
Electronic transport with Green function method.

4. Goal: Modulating ZT in Graphene/BN devices
The goal of the project
Thesis title: Theoretical study of electronic and thermoelectric nanodevices based on graphene heterostructures
Goal: Modulating ZT in Graphene/BN devices
Works: Electron and phonon transports in Graphene/BN

5. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear.
Solving some Eqs by Green function method.
Electronic transport with Green function method.

6. Plan for the work Stage 1: Learning basic knowledge
Starting point
goal
Stage 1: Learning basic knowledge
Aim: Getting to know knowledge that relates to the project.

7. Stage 1: Learning basic knowledge
Kinds of structure
Electronic properties
Step 1: Properties of Graphene
Optical properties
Thermal properties
Mechanical properties
Step 2: Boron nitride, Heterostructure
Heat equation
Stage 1
Heat transfer
Step 3: Thermoelectric
Thermoelectric effects
ZT: figure of merit
Tight binding model
Electron transport
Step 4: Transport in graphene
Green function method
Phonon transport
Force constant model

8. Plan for the work Stage 1: Learning basic knowledge Stage 2: Practice
Starting point
Stage 1: Learning basic knowledge
Aim: Getting to know knowledge that relates to the project.
Stage 2: Practice
Aim: To be familiar with methods, techniques using in the project
goal

9. Stage 2: Practice Green function Stage 2
Tight binding model
Green function
Stage 2
Electron transport using Green function method
Phonon transport using Green function method

10. Plan for the work Stage 1: Learning basic knowledge Stage 2: Practice
Starting point
Stage 1: Learning basic knowledge
Aim: Getting to know knowledge that relates to the project.
Stage 2: Practice
Aim: To be familiar with methods, techniques using in the project
Stage 3: towards the Graphene/BN problems
Aim: To get results for the PhD thesis
goal

11. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear .
Solving some Eqs by Green function method.
Electronic transport with Green function method.

12. 1) Cause from Graphene structure
Why is Graphene/BN?
1) Cause from Graphene structure

13. Roughness on the surface of SiO2

14. 2) BN is a good candidate to substitute SiO2.
BN is an insulator: ~5.5eV gap
Surfaces of BN layers are very flat

15. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear .
Solving some Eqs by Green function method.
Electronic transport with Green function method.

16. Why green functions are useful?
From definition of Green function?
Thus, Green functions can help to solve a large amount of differential eqs.

17. 2) It is mostly possible and easier to find solutions by Green function method.
Example 1: Possion eq:

18. Example 2:

19. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear.
Solving some Eqs by Green function method.
Electronic transport with Green function method.

20. First nearest neighbor
linear chain: a
N atoms
1 atom/unit cell
Periodic
Tight binding:
First nearest neighbor
1 orbital wave function/atom (1s orbital)

23. Tight binding Hamintonian:
linear chain:
N unit cells
2 atom/unit cell
Periodic
Tight binding Hamintonian:

27. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear .
Solving some Eqs by Green function method.
Electronic transport with Green function method.

28. Finding electric field generated by a moving charge?
Solving some Eqs by Green function method.
Finding electric field generated by a moving charge?

30. Outline The goal of the project. Plan to target the goal
Stage 1: Explain 2 questions:
Why do we need to do research on Graphene/BN?
Why do we use Green function method?
Stage 2: Practice
Tight binding model for a linear.
Solving some Eqs by Green function method.
Electronic transport with Green function method.

31. Green function in quantum mechanics:
Electronic transport with Green function method.
Green function in quantum mechanics:

33. transmission:
Example:

34. Checking transmission in the device of a linear chain.
What is next?
Checking transmission in the device of a linear chain.
Phonon transport in a device of a linear chain.
Graphene nano ribbon
Devices based on Graphene/BN
Learning C++ and compare with matlab