Semiconductor Devices Metalsemiconductor junction Rectifier Schottky contact or

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Semiconductor Devices Ø Metal-semiconductor junction Ø Rectifier (Schottky contact or Schottky barrier) Ø Ohmic

Semiconductor Devices Ø Metal-semiconductor junction Ø Rectifier (Schottky contact or Schottky barrier) Ø Ohmic contact Ø p – n rectifier Ø Zener diode Ø Photodiode (solar cell) Ø Tunnel diode Ø Transistor Ø Other devices based on semiconductors (for hybrid circuits) Ø Resistor Ø Isolator Ø Capacitor 1

Negative/Positive Charged Surface Band structure of an n-type semiconductor with negatively charged surface Band

Negative/Positive Charged Surface Band structure of an n-type semiconductor with negatively charged surface Band structure of a p-type semiconductor with positively charged surface Near the surface, the concentration of free electrons is lower – the negative charge of the surface represents a potential barrier for electrons Near the surface, the concentration of “free holes” is lower – the positive charge of the surface represents a potential barrier for free holes Custom: the edges of the energy bands are bent, not the Fermi energy 2

Contact: Metal and n-type Semiconductor Potential barrier Energy bands of a metal and a

Contact: Metal and n-type Semiconductor Potential barrier Energy bands of a metal and a n-type semiconductor (without contact) Fermi energies are different Ø Ø Electrons Energy bands of a metal and a n -type semiconductor (contact) Electrons flow into the metal until the Fermi energies are equalized. The surface of the metal charges negative. Simultaneously, a potential barrier is formed. In equilibrium, only one diffusion current exists (equal in both directions). 3

Contact: Metal and p-type Semiconductor Potential barrier Energy bands: The Fermi energies are different

Contact: Metal and p-type Semiconductor Potential barrier Energy bands: The Fermi energies are different Electrons Energy bands of a metal and a p -type semiconductor Ø Ø Electrons flow into the semiconductor until the Fermi energies are equalized. The surface of the metal charges positive. Simultaneously a “negative” potential barrier is formed. In the Equilibrium only one diffusion current exists (equal in both directions). 4

Work functions Metals Material Ag Al Au Be Ca Cs Cu Fe K Li

Work functions Metals Material Ag Al Au Be Ca Cs Cu Fe K Li Na Ni Zn [e. V] 4, 7 4, 1 4, 8 3, 9 2, 7 1, 9 4, 5 4, 7 2, 2 2, 3 5, 0 4, 3 Semiconductors Material Diamond Ge Si Sn [e. V] 4, 8 4, 6 3, 6 4, 4 * Work function = vacuum electron affinity = vacuum ionization energy 5

Electrical Currents Diffusion current Metal Drift current Metal Semiconductor – + U 6

Electrical Currents Diffusion current Metal Drift current Metal Semiconductor – + U 6

Drift Current Reverse bias Forward bias An external electric field increases the potential barrier

Drift Current Reverse bias Forward bias An external electric field increases the potential barrier An external electric field decreases the potential barrier Barrier for electrons Acceleration of electrons 7

Drift Current Metal Semiconductor Metal Total current: Saturation current Voltage dependence enlarged 8

Drift Current Metal Semiconductor Metal Total current: Saturation current Voltage dependence enlarged 8

Ohmic Contact Electrons Example: Al / Ge : Al < Ge the contact Al

Ohmic Contact Electrons Example: Al / Ge : Al < Ge the contact Al / Ge exhibits good electrical conductivity Technological example: Al / Si or Al / Si. O 2 Al > Si the contact Al / p-Si shows good electrical conductivity the contact Al / n-Si can be used as a rectifier 9

Ohmic Contact: Al / n-Si n-semiconductor n+-film metal Electron current Quantum tunneling The n+

Ohmic Contact: Al / n-Si n-semiconductor n+-film metal Electron current Quantum tunneling The n+ slab has to be very thin. Problem: electromigration Material transport at high electric currents, due to the momentum transfer between conducting electrons and atoms or ions of the solid Solution: Al + Cu, Al + Si Coating with gold 10

p-n Junction (Diode) In equilibrium (without external voltage) Diode with external voltage 11

p-n Junction (Diode) In equilibrium (without external voltage) Diode with external voltage 11

Electrochemical Potential Diffusion current Electrochemical potential in equilibrium state: Field current … The electrochemical

Electrochemical Potential Diffusion current Electrochemical potential in equilibrium state: Field current … The electrochemical potential of electrons is everywhere the same in state of equilibrium (without a current) 12

p-n junction (diode) Electrons Holes Potential difference (potential jump) With external voltage Without external

p-n junction (diode) Electrons Holes Potential difference (potential jump) With external voltage Without external voltage 13

Semiconductor Diode (Rectifier) I U Abb. 14. 61. Current-voltage-characteristic of a rectifier diode 14

Semiconductor Diode (Rectifier) I U Abb. 14. 61. Current-voltage-characteristic of a rectifier diode 14

Zener Diode Used with reverse bias Ionization process: Avalanche-like increase of the electric current

Zener Diode Used with reverse bias Ionization process: Avalanche-like increase of the electric current Generation of free electrons 15

Photodiode (Solar Cell) 16

Photodiode (Solar Cell) 16

Tunnel Diode 17

Tunnel Diode 17

Transistor (without external voltage) E B C Two potential barriers 18

Transistor (without external voltage) E B C Two potential barriers 18

Transistor (with external voltage) n Potential barrier p n Acceleration in the electric field

Transistor (with external voltage) n Potential barrier p n Acceleration in the electric field Amplifier 19

Devices in Hybrid Circuits Resistor: electrical conductivity as function of the doping in the

Devices in Hybrid Circuits Resistor: electrical conductivity as function of the doping in the p-zone Capacitor: different electrical charges in p- and n-zone, separated by an insulator (dielectric) Technology Source material: Si. O 2 Si Czochralski method (monocrystalline silicon) Diffusion process: diffusion of phosphorus (n) or boron (p) in silicon. Mask – Si. O 2. 20