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Explains the working of single electron transistor
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• What are Transistors• What is a SET• Operation of SETs• Application of SETs• How do SETs differ from Conventional
Aneesh Raveendran, INDIA, [email protected]
What is a Transistor
• A transistor is a solid state semiconductor device which can be used for numerous purposes including signal modulation, amplification, voltage stabilization, and many others.
• Transistors act like a variable valve which, based on its input current (BJT) or input voltage (FET), allow a precise amount of current to flow through it from the circuit’s voltage supply.
Aneesh Raveendran, INDIA, [email protected]
Transistor• Transistors
– What are transistors?– How do they work?
A transistor is a device that functions only in one direction, in which it draws current from its load resistor. The transistor is a solid state semiconductor device which can be used for amplification, switching, voltage stabilization, signal modulation and many other functions. It acts as a variable valve which, based on its input current (BJT) or input voltage (FET), allows a precise amount of current to flow through it from the circuit's voltage supply.
Fig 1. NPN Transistor using two diodes and connecting both anodes together
• One cathode is tied to common (the emitter); the other cathode (the collector) goes to a load resistor tied to the positive supply. For understanding, the transistor is configured to have the diode signal start up unimpeded until it reaches ~ 0.6 volts peak. At this point the base voltage will stop increasing. No matter how much the voltage applied from the generator increases (within reason), the "base" voltage appears to not increase. However, the current into that junction (two anodes) increases linearly: I = [E - 0.6]/R.
Fig 2. Graph of how the base voltage acts with increasing input voltage.
As the voltage increases from 0 to 0.5 volts there is no current. However, at 0.6 a small current starts to show which is drawn by the base. The voltage at the base stops increasing and remains at 0.6 volts, and the current starts to increase along with the collector current. The collector current will slow down at some point until it stops increasing. This is where saturation occurs. If this transistor was being used as a switch or as part of a logic element, then it would be considered to be switched on.
• Single-electron Transistor
- what problem does it help solve?- what is its operation?
Problem of Making More Powerful Chips
• Intel co-founder Gordon Moore that the number of transistors on a chip will
approximately double every 18 to 24 months. This observation refers to what
is known as Moore’s Law.
• This law has given chip designers greater incentives to incorporate new
features on silicon.
• The chief problem facing designers comes down to size. Moore's Law works
largely through shrinking transistors, the circuits that carry electrical signals.
By shrinking transistors, designers can squeeze more transistors into a chip.
However, more transistors means more electricity and heat compressed into
an even smaller space. Furthermore, smaller chips increase performance but
also compound the problem of complexity.
What is a SET• The single electron transistor is a new type of
switching device that uses controlled electron tunneling to amplify current.
• Fig 3. Single Electron TransistorAneesh Raveendran, INDIA,
Operation
• The tunnel junction consists of two pieces of metal separated by a very thin (~1nm) insulator.
• The only way for electrons in one of the metal electrodes to travel to the other electrode is to tunnel through the insulator.
• Since tunneling is a discrete process, the electric charge that flows through the tunnel junction flows in multiples of the charge of electrons e.
Aneesh Raveendran, INDIA, [email protected]
How is the SET formed
• Fig 4. A tunnel Junction and its schematic diagram
Aneesh Raveendran, INDIA, [email protected]
Dynamics• The SET is made by placing 2 tunnel junctions in
series• The 2 tunnel junction create what is known as a
“Coulomb Island” that electrons can only enter by tunneling through one of the insulators.
• This device has 3 terminals like the FETs.• The cap may seem like a third tunnel junction, but is
much thicker than the others so that no electrons could tunnel through it.
• The cap simply serves as a way of setting the electric charge on the coulomb island.
Aneesh Raveendran, INDIA, [email protected]
Procedure• A key point is that charge passes through the island in
quantized units. For an electron to hop onto the island, its energy must equal the coulomb energy e^2/2Cg.
• When both the gate and the bias voltages are zero, electrons do not have enough energy to enter the island and current does not flow. As the bias voltage between the source and drain is increased, an electron can pass through the island when the energy in the system reaches the coulomb energy. This effect is known as the coulomb blockade, and the critical voltage needed to transfer an electron onto the island equal to e/C, is called the coulomb gap energy.
Aneesh Raveendran, INDIA, [email protected]
For Function
• Capacitance of the island must be less than 10^-17 Farads and therefore its size must be smaller that 10 nm.
• The wavelength of the electrons is comparable with the size of the dot, which means that their confinement energy makes a significant contribution to the coulomb energy.
Aneesh Raveendran, INDIA, [email protected]
The Coulomb Island
Aneesh Raveendran, INDIA, [email protected]
Coulomb Island
(a) When a capacitor is charged through a resistor, the charge on the capacitor is proportional to the applied voltage and shows no sign of quantization.
(b) When a tunnel junction replaces the resistor, a conducting island is formed between the junction and the capacitor plate. In this case the average charge on the island increases in steps as the voltage is increased
c) The steps are sharper for more resistive barriers and at lower temperatures.
Aneesh Raveendran, INDIA, [email protected]
Coulomb Blockade
• The effect in which electron can not pass through the island unless the energy in the system is equal to the coulomb energy e^2/Cg.
• Coulomb blockade tries to alleviate any leak by current during the off state of the SET.
Aneesh Raveendran, INDIA, [email protected]
Application of SETs
• Quantum computers -1000x Faster• Microwave Detection• High Sensitivity Electrometer
Aneesh Raveendran, INDIA, [email protected]
Conclusion• Researchers may someday assemble these
transistors into molecular versions of silicon chips , but there are still formidable hurdles to cross.
• SETs could be used for memory device, but even the latest SETs suffer from “offset charges”, which means that the gate voltage needed to achieve maximum current varies randomly from device to device. Such fluctuations make it impossible to build complex circuits.
• The future does look bright for these devices.
Aneesh Raveendran, INDIA, [email protected]