chapter 7 coulomb blockade and the single-electron transistorqli/ece685/ch7 _ second note.pdf ·...

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Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang Li

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Page 1: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Chapter 7 Coulomb Blockade and

the Single-electron Transistor

Lecture given by Qiliang Li

Page 2: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

7.2 Single-Electron Transistor

• Adding gate control on a Coulomb-Blockade

structure – single-electron tunneling transistor

or simply single-electron transistor (SET)

Vg > 0 will depress the Fermi level, Ef

Vg < 0 will raise Ef

• Above, below and lie up with Ef of right/left side

Page 3: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang
Page 4: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

The net charge on the island:

Page 5: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Solved:

Page 6: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

An electron tunnel into the island from b, the change of stored energy is

Page 7: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Similarly for an electron from

island to Junction a:

Page 8: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Assume initially island is charge neutral (n=0), an

electron tunnels into the island through junction b

Page 9: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Now the island is has one electron (n=1), the electron

tunnels off from the island into junction a:

Page 10: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

To observe a current from junction b to a, both condition need to be met:

Current > 0

Page 11: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Coulomb diamonds

Charge stability diagram

Shaded regions: no tunneling is allowed

Page 12: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang
Page 13: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

SET has potential for high-speed, high-density and low-power dissipation.

Page 14: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

7.3 Other SET and FET structures

Carbon nanotube FET

Page 15: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

InP nanowire FET for single electron tunneling

Page 16: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang
Page 17: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang
Page 18: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Benzene Molecule as a

resonant tunneling

transistor

Page 19: Chapter 7 Coulomb Blockade and the Single-electron Transistorqli/ECE685/Ch7 _ second note.pdf · Chapter 7 Coulomb Blockade and the Single-electron Transistor Lecture given by Qiliang

Molecular SET