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Seminar Presentation on
MEMRISTOR
“The Fourth Basic Circuit Element”
By-
Helal Uddin Mullah
Mtech 2nd Semester
MTV/EC13/05
mullahz251@gmail.com
Contents
 What is Memristor?
 History
 Theory
 Construction & Working
 An analogy
 Properties
 Applications
 Advantages
 Conclusion
 References
2
WHAT IS MEMRISTOR?
• A memristor is a semiconductor whose resistance varies as a function of flux and
current. This allows it to “remember” what has passed through the circuit.
• It is the fourth fundamental circuit element.
• Two terminal device.
• Its resistance depends on the amount of
charge passed through it.
• That’s why it is called “memristor”(memory resistor).
3
Memristor
Memristance
• Memristance is simply charge-dependent resistance.
• Unit - ohm (Ω)
• Symbol
V(t) = M(q(t))*I(t)
Emergence Of Memristic Theory
• Theory was developed in 1971 by
Professor Leon Chua at University of
California, Berkeley.
• Found while exploring symmetry
between the three fundamental passive
linear circuit elements.
• In 2006, R.Stanley Williams developed
practical model.
Memristor -The fourth fundumental circuit element
Three Fundamental Circuit Elements
Resistor
v R i 
Capacitor
q C v 
Inductor
L i  
Resistor
Georg Ohm 1827
Capacitor
von Kleist 1745
Inductor
Michael Faraday 1831
Symmetry Of Relationships
Memristors
Φ=Mq
Voltage
(V)
Current(i)
Charge (q) Flux (Φ)
Φ = Li Inductors
v=dΦ/dt i=dq/dt
Resistors
v=Ri
q=CvCapacitors
Theory
Or
Or
9
Working of TiO2 Based Memristor
Pt TiTiOv(2-x)
TiO2
3 nm
2 nm
dopeddepleted
(-)ve (+)ve
 The HP device is composed of a thin (50 nm) titanium dioxide film between two
5 nm thick electrodes, one Ti, the other Pt. Initially, there are two layers to the
titanium dioxide film, one of which has a slight doped of oxygen atoms.
 The oxygen vacancies act as charge carriers, meaning that the doped layer has a
much lower resistance than the non- depleted layer.
 When an electric field is applied, the oxygen vacancies drift ,changing the boundary
between the high-resistance and low-resistance layers.
 Thus the resistance of the film as a whole is dependent on how much charge has
been passed through it in a particular direction, which is reversible by changing the
direction of current.
Memristance is displayed only when both the
doped and depleted layers contribute to resistance.
 At a point of time, when enough charge will flow
in the film, no ion will be moving then the device enters
in to saturation and gives a constant value of M(q)
and remains fixed until we reverse the direction of
current flow.
In this TiO2 Memristor model, for RON<<ROFF
The memristance is
Where
μv = mobility of dopant
D= thickness of the film.
Equivalent Circuit.
• Retain its resistance level even after power had
been shut down.
• Remember (or recall) the last resistance it had,
before being shut off.
• By changing the speed and strength of the
current, it is possible to change the behavior of
the device.
• A fast and hard current causes it to act as a
digital device.
• A soft and slow current causes it to act as an
analog device.
Property Of Memristor
Applications
 As a switch
 As a non volatile memory
 Can perform logic operations
 In artificial neural networks
13
1 cm3 of memristor = 1 terabit
Benefits Of Memristor Technology
• Would allow for a quicker boot up since information is not lost when the device is
turned off.
• Uses less power and produces less heat.
• Eliminates the need to write computer programs that replicate small parts of the
brain.
• Density allows for more information to be stored.
• Provides greater resiliency and reliability when power is interrupted in data centers.
• Creating a Analog Computer that works much faster than Digital ones.
• Conventional devices use only 0 and 1; Memristor can use anything between 0 and
1.
• Faster than Flash memory.
Allow digital cameras to take pictures with no delay in between.
• Compatible with current CMOS interfaces.
Not Perfect Yet !
• Though hundreds of thousands of memristor
semiconductors have already been built, there is still
much more to be perfected.
• Needs more defect engineering.
• No design standards (rules).
Conclusion
 In April 2010, HP labs announced that they had practical memristors working at
1 ns (~1 GHz) switching times and 3 nm by 3 nm sizes, which bodes well for
the future of the technology.At these densities it could easily rival the current
sub-25 nm flash memory technology.
 So,it is sure that Memristor will change circuit design in the 21st century as radically
as the transistor changed it in the 20th.
 As scientist are saying that Moore’s law is going to be saturated by 2022, we will now
have memristors as alternative to transistors.
 Finally as Leon O Chua mentioned “It’s time to rewrite all the EE textbooks”
References
• L. O. Chua, “Memristor-the missing circuit element,” IEEE Trans. Circuit Theory,
vol. 18,pp. 507 -519, Sep. 1971.
• D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, “The missing
memristor found.," Nature, vol. 453, no. 7191, pp. 80 -83, 2008.
• M. Di Ventra, Yu. V. Pershin, L. O. Chua, “Circuit elements with memory:
memristors, memcapacitors and meminductors”. 2009. arXiv:0901.3682.
• L. O. Chua, “Resistance switching memories are memristors," Appl. Phys. A, vol.
102,pp. 765-783, 2011.
• http://en.wikipedia.org/wiki/Memristor
17
Memristor -The fourth fundumental circuit element

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Memristor -The fourth fundumental circuit element

  • 1. Seminar Presentation on MEMRISTOR “The Fourth Basic Circuit Element” By- Helal Uddin Mullah Mtech 2nd Semester MTV/EC13/05 [email protected]
  • 2. Contents  What is Memristor?  History  Theory  Construction & Working  An analogy  Properties  Applications  Advantages  Conclusion  References 2
  • 3. WHAT IS MEMRISTOR? • A memristor is a semiconductor whose resistance varies as a function of flux and current. This allows it to “remember” what has passed through the circuit. • It is the fourth fundamental circuit element. • Two terminal device. • Its resistance depends on the amount of charge passed through it. • That’s why it is called “memristor”(memory resistor). 3 Memristor
  • 4. Memristance • Memristance is simply charge-dependent resistance. • Unit - ohm (Ω) • Symbol V(t) = M(q(t))*I(t)
  • 5. Emergence Of Memristic Theory • Theory was developed in 1971 by Professor Leon Chua at University of California, Berkeley. • Found while exploring symmetry between the three fundamental passive linear circuit elements. • In 2006, R.Stanley Williams developed practical model.
  • 7. Three Fundamental Circuit Elements Resistor v R i  Capacitor q C v  Inductor L i   Resistor Georg Ohm 1827 Capacitor von Kleist 1745 Inductor Michael Faraday 1831
  • 8. Symmetry Of Relationships Memristors Φ=Mq Voltage (V) Current(i) Charge (q) Flux (Φ) Φ = Li Inductors v=dΦ/dt i=dq/dt Resistors v=Ri q=CvCapacitors
  • 10. Working of TiO2 Based Memristor Pt TiTiOv(2-x) TiO2 3 nm 2 nm dopeddepleted (-)ve (+)ve  The HP device is composed of a thin (50 nm) titanium dioxide film between two 5 nm thick electrodes, one Ti, the other Pt. Initially, there are two layers to the titanium dioxide film, one of which has a slight doped of oxygen atoms.  The oxygen vacancies act as charge carriers, meaning that the doped layer has a much lower resistance than the non- depleted layer.  When an electric field is applied, the oxygen vacancies drift ,changing the boundary between the high-resistance and low-resistance layers.
  • 11.  Thus the resistance of the film as a whole is dependent on how much charge has been passed through it in a particular direction, which is reversible by changing the direction of current. Memristance is displayed only when both the doped and depleted layers contribute to resistance.  At a point of time, when enough charge will flow in the film, no ion will be moving then the device enters in to saturation and gives a constant value of M(q) and remains fixed until we reverse the direction of current flow. In this TiO2 Memristor model, for RON<<ROFF The memristance is Where μv = mobility of dopant D= thickness of the film. Equivalent Circuit.
  • 12. • Retain its resistance level even after power had been shut down. • Remember (or recall) the last resistance it had, before being shut off. • By changing the speed and strength of the current, it is possible to change the behavior of the device. • A fast and hard current causes it to act as a digital device. • A soft and slow current causes it to act as an analog device. Property Of Memristor
  • 13. Applications  As a switch  As a non volatile memory  Can perform logic operations  In artificial neural networks 13 1 cm3 of memristor = 1 terabit
  • 14. Benefits Of Memristor Technology • Would allow for a quicker boot up since information is not lost when the device is turned off. • Uses less power and produces less heat. • Eliminates the need to write computer programs that replicate small parts of the brain. • Density allows for more information to be stored. • Provides greater resiliency and reliability when power is interrupted in data centers. • Creating a Analog Computer that works much faster than Digital ones. • Conventional devices use only 0 and 1; Memristor can use anything between 0 and 1. • Faster than Flash memory. Allow digital cameras to take pictures with no delay in between. • Compatible with current CMOS interfaces.
  • 15. Not Perfect Yet ! • Though hundreds of thousands of memristor semiconductors have already been built, there is still much more to be perfected. • Needs more defect engineering. • No design standards (rules).
  • 16. Conclusion  In April 2010, HP labs announced that they had practical memristors working at 1 ns (~1 GHz) switching times and 3 nm by 3 nm sizes, which bodes well for the future of the technology.At these densities it could easily rival the current sub-25 nm flash memory technology.  So,it is sure that Memristor will change circuit design in the 21st century as radically as the transistor changed it in the 20th.  As scientist are saying that Moore’s law is going to be saturated by 2022, we will now have memristors as alternative to transistors.  Finally as Leon O Chua mentioned “It’s time to rewrite all the EE textbooks”
  • 17. References • L. O. Chua, “Memristor-the missing circuit element,” IEEE Trans. Circuit Theory, vol. 18,pp. 507 -519, Sep. 1971. • D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, “The missing memristor found.," Nature, vol. 453, no. 7191, pp. 80 -83, 2008. • M. Di Ventra, Yu. V. Pershin, L. O. Chua, “Circuit elements with memory: memristors, memcapacitors and meminductors”. 2009. arXiv:0901.3682. • L. O. Chua, “Resistance switching memories are memristors," Appl. Phys. A, vol. 102,pp. 765-783, 2011. • http://en.wikipedia.org/wiki/Memristor 17