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Memristor: Modelling and Applications. Amit Kulkarni Nguyen Hoang. Content. What is memristor? Prediction of memristor Mathematical equations Physical Implementation Pinched hysteresis loop SPICE model Write circuit Read circuit Challenges and Applications Summary. - PowerPoint PPT Presentation
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Memristor: Modelling and Applications
Amit Kulkarni Nguyen Hoang
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Content• What is memristor?• Prediction of memristor• Mathematical equations• Physical Implementation• Pinched hysteresis loop• SPICE model• Write circuit• Read circuit• Challenges and Applications• Summary
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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What is memristor?
• Two terminal passive electrical component• Memorize the charge flow
– Change the resistance• Symbol:
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Chalmers university of Technology DAT175 Topics in Electronic System Design
410-01-2012
Leon Chua’s prediction of existence of Memristor
Dr.Leon O. ChuaUniversity of California, Berkeley
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Mathematical equations of memristor
‘w’ is a state variable
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Physical implementation
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Dr. R. Stanley WilliamsHP Labs(Quantum science)
Chalmers university of Technology DAT175 Topics in Electronic System Design
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State equations of implemented memristor
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Pinched hysteresis loop
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Courtesy: Massimiliano Di Ventra, Yuriy V. Pershin, and Leon O. Chua.Publication: Circuit Elements With Memory: Memristors,Memcapacitors, andMeminductors
Chalmers university of Technology DAT175 Topics in Electronic System Design
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SPICE model
• State equation:
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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SPICE model (1)
• Port equation:
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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SPICE model (2)
• Full model:
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Write circuit
• Decision levels
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• Circuit
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Write circuit(1)
• Write logic – 1
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• Write logic – 0
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Write circuit(2)
• Express flux in terms of state variable
• Ideal case: – logic-1 at level 1– logic-0 at level 0
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Write circuit(3)
• Applying to ideal case
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Read circuit
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IEEE/ACM International Conference 2009
(from HP) IEEE/ISCAS International Symposium 2011
State perturbation may occur!
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Read circuit (1)
• State perturbation:– State level changes while applying voltage for
reading– Memristor is charge-dependent
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How to avoid/reduce?
Complementary-charge circuit
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Read circuit (2)
• Influence of complementary charge on state stability
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Read circuit (3)
• Influence of complementary charge on state stability
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10,000 times
500,000 times
Chalmers university of Technology DAT175 Topics in Electronic System Design
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Read circuit (4)
• Outputs of logic 0 and 1:
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Challenges of the research
• Control state stability– For write and read circuits– For other applications
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Applications
• Non-volatile memory– Up to 100Gbits/cm²
• Crossbar switch• LUT
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Summary
• Memristor can remember amount of charge goes through it via its varied resistance
• SPICE model is made for circuit-level research• Read-write circuits are built• Challenge in applications: state stability• Vast of applications
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Chalmers university of Technology DAT175 Topics in Electronic System Design
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Thank you for your attention!
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![Modeling of the Memristor in SPICE Introduction In 1971, professor Chua predicted the existence of the fourth circuit element – memristor [3]. The memristor](https://img.pdfslide.us/doc/110x75/56649e3b5503460f94b2d7a3/modeling-of-the-memristor-in-spice-introduction-in-1971-professor-chua-predicted.jpg)
