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Superconductivity - Introduction 
• The research about superconductors began when 
Kamerlingh Onnes found that the resistivity of Hg 
suddenly dropped to zero at 4.2K (liquid He 
Temperature). 
• At very low temperatures normal conductors retain 
some resistivity but the resistivity of 
superconductors suddenly drop to zero . 
• A normal conductor can be brought into 
superconducting state by increasing it’s pressure.
Transition Temperature OR Critical Temperature 
Temperature at which a 
normal conductor loses its 
resistivity and becomes a 
superconductor. 
• Definite for a material 
• Superconducting transition 
reversible 
• Good electrical conductors 
like Cu, Ag, Au are not 
superconductors and good 
superconducting materials 
are not good electrical 
conductors. 
Resistance (Ω) 
4.0 4.1 4.2 4.3 4.4 
Temperature (K) 
0.15 
0.10 
0.0 
Tc
Occurrence of Superconductivity 
Superconducting Elements TC (K) 
Sn (Tin) 3.72 
Hg (Mercury) 4.15 
Pb (Lead) 7.19 
Superconducting Compounds 
NbTi (Niobium Titanium) 10 
Nb3Sn (Niobium Tin) 18.1
Superconductivity -Properties 
1. Electrical Resistence 
• Zero electrical resistence 
• Ratio of resistance of 
material in 
superconducting state to 
the same material in 
normal state is less then 10- 
5 . 
r 
s 
r 
<10-5 
n
Superconductivity -Properties 
2. Effect of magnetic field 
• When the superconducting materials are subjected to large value 
of magnetic field, it’s superconducting property gets destroyed. 
• Critical magnetic field (HC) – Minimum magnetic field required to 
destroy the superconducting property at any temperature 
é æ ö 2 
ù 
H H T 
= ê - ç ¸ ú 
0 1 C 
T 
êë è C 
ø úû 
H0 – Critical field at 0K 
T - Temperature below TC 
TC - Transition Temperature
Normal 
Superconducting 
T (K) TC 
H0 
HC 
Element HC at 0K 
(mT) 
Nb 198 
Pb 80.3 
Sn 30.9 
Magnetic field vs Temperature 
Examples of critical fields of some 
superconducting materials
Superconductivity -Properties 
3. Effect of Electric Current 
• The application of large value of electric current to a 
superconducting material induces a magnetic field in the 
material and thus destroys it’s superconducting property. 
• Induced Critical Current iC = 2πrHC 
where Hc is the critical magnetic field required and r is the 
radius of superconductor . 
i
Superconductivity -Properties 
4. Effect of Entropy 
6. Thermal Conductivity 
5. Specific Heat 
Temperature 
Temperature 
Temperature
7. Diamagnetic property :- Meissner Effect 
• Magnetic Lines of force penetrate through a normal conducting 
material when placed in a magnetic field of flux density B. 
• Whereas, a superconducting material repels the magnetic field & 
thus behaves as a diamagnetic material. 
• A superconducting material also ejects magnetic lines of force 
when cooled for superconductivity. 
B ¹0 B = 0 
Normal state 
T>Tc 
H>Hc 
Superconducting 
state 
T<Tc 
H<Hc
Types of Superconductors 
Type I 
• Exhibit Meissner Effect 
• Behave as a prefect diamagnetic 
material 
• There is only one Hc 
• No mixed state is present 
• Sudden loss of magnetisation 
• Soft superconductor 
• Eg. – Pb, Sn, Hg 
Type II 
• Does not exhibit complete 
Meissner Effect 
• Does not behave as a perfect 
diamagnetic material 
• There are two HCs – HC1 & HC2 
• Mixed state present 
• Gradual loss of magnetisation 
• Hard superconductor 
• Eg. – Nb-Sn, Nb-Ti 
M 
Superconducting 
Normal 
H H C 
Super-conducting 
-M 
Normal 
Mixed 
HC1 HC 
HC2 
H
High-Temperature Superconductors 
• High Temperature superconductors have high Tc values. 
• They are not metal or intermetallic compounds but oxides of 
copper in combination with other elements. 
• In 1983, 1987 & 1988, materials with Tc up to 40K, 93K and 125K 
have been discovered respevtively. 
• The HTSC compounds are represented by simplified notations as 
1212, 1234, etc. These notations are based on number of atoms in 
each metal element. 
• They are brittle and easy to form wires and tapes. 
• HTSC wires/tapes provide transmission of electrical power over a 
long distance without any resistive loss.
High-Temperature Superconductors
Application of Superconductors 
1. Josephson Effect 
• In 1962, Brain Josephson predicted the flow of current in 
insulator sandwiched between two superconductors on the 
application of a D.C. Voltage. 
Insulator
Components Of Current 
• D.C. Component of Current – This component of 
current exists even after the applied voltage is 
removed. 
• A.C. Component of Current – This component of 
current exists only during the existence of applied 
voltage. 
The frequency of A.C. components is 
g = 2eV / h
Uses of Josephson devices 
• Magnetic Sensors 
• Gradiometers 
• Oscilloscopes 
• Decoders 
• Analogue to Digital converters 
• Oscillators 
• Microwave amplifiers 
• Sensors for biomedical, scientific and defence purposes 
• Digital circuit development for Integrated circuits 
• Microprocessors 
• Random Access Memories (RAMs)
Application of Superconductors 
2. SQUID 
(Superconducting Quantum Interface Device) 
• SQUID is a type of magnetometer. 
• It is the most sensitive type of detector known to science. 
• Low Temperature superconductors are used for fabricating SQUID. 
• It consists of a superconducting loop of two Josephson junctions.
Discovery: 
• The DC SQUID was invented in 1964 by Robert Jaklevic, John 
Lambe, Arnold Silver and James Mercereau of Ford Research 
Labs 
Principle : 
• Small change in magnetic field, produces variation in the flux 
quantum. 
Uses : 
• Storage device for magnetic flux 
• Study of earthquakes 
• Removing paramagnetic impurities 
• Detection of magnetic signals from brain, heart etc.
Application of Superconductors 
i 
A 
B 
3.Cryotron 
The cryotron is a switch 
that operates using 
superconductivity. The 
cryotron works on the 
principle that magnetic 
fields destroy 
superconductivity.
• Hca & Hcb are critical fields of material A & B 
respectively & Hca<Hcb. 
• The current ‘i’ induces some magnetic field ‘H’ 
in both materials. If ‘H’ lies between Hca & Hcb, 
then the induced field will destroy the 
superconductivity of material A & hence 
contact will be broken due to increase in 
resistivity.
Application of Superconductors 
4. Maglev (Magnetic Leviation) 
• Principle: Electro-magnetic 
induction 
 Magnetic levitation transport, 
or maglev, is a form of 
transportation that suspends, 
guides and propels vehicles via 
electromagnetic force. This 
method can be faster than 
wheeled mass transit systems, 
potentially reaching velocities 
comparable to turboprop and jet 
aircraft (500 to 580 km/h).
Advantages 
 No need of initial energy in case of magnets for low speeds 
 One litre of Liquid nitrogen costs less than one litre of mineral water 
 Onboard magnets and large margin between rail and train enable highest 
recorded train speeds (581 km/h) and heavy load capacity. Successful 
operations using high temperature superconductors in its onboard magnets, 
cooled with inexpensive liquid nitrogen 
 Magnetic fields inside and outside the vehicle are insignificant; proven, 
commercially available technology that can attain very high speeds (500 
km/h); no wheels or secondary propulsion system needed 
 Free of friction as it is “Levitating”

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Superconductors and Superconductivity

  • 1. Superconductivity - Introduction • The research about superconductors began when Kamerlingh Onnes found that the resistivity of Hg suddenly dropped to zero at 4.2K (liquid He Temperature). • At very low temperatures normal conductors retain some resistivity but the resistivity of superconductors suddenly drop to zero . • A normal conductor can be brought into superconducting state by increasing it’s pressure.
  • 2. Transition Temperature OR Critical Temperature Temperature at which a normal conductor loses its resistivity and becomes a superconductor. • Definite for a material • Superconducting transition reversible • Good electrical conductors like Cu, Ag, Au are not superconductors and good superconducting materials are not good electrical conductors. Resistance (Ω) 4.0 4.1 4.2 4.3 4.4 Temperature (K) 0.15 0.10 0.0 Tc
  • 3. Occurrence of Superconductivity Superconducting Elements TC (K) Sn (Tin) 3.72 Hg (Mercury) 4.15 Pb (Lead) 7.19 Superconducting Compounds NbTi (Niobium Titanium) 10 Nb3Sn (Niobium Tin) 18.1
  • 4. Superconductivity -Properties 1. Electrical Resistence • Zero electrical resistence • Ratio of resistance of material in superconducting state to the same material in normal state is less then 10- 5 . r s r <10-5 n
  • 5. Superconductivity -Properties 2. Effect of magnetic field • When the superconducting materials are subjected to large value of magnetic field, it’s superconducting property gets destroyed. • Critical magnetic field (HC) – Minimum magnetic field required to destroy the superconducting property at any temperature é æ ö 2 ù H H T = ê - ç ¸ ú 0 1 C T êë è C ø úû H0 – Critical field at 0K T - Temperature below TC TC - Transition Temperature
  • 6. Normal Superconducting T (K) TC H0 HC Element HC at 0K (mT) Nb 198 Pb 80.3 Sn 30.9 Magnetic field vs Temperature Examples of critical fields of some superconducting materials
  • 7. Superconductivity -Properties 3. Effect of Electric Current • The application of large value of electric current to a superconducting material induces a magnetic field in the material and thus destroys it’s superconducting property. • Induced Critical Current iC = 2πrHC where Hc is the critical magnetic field required and r is the radius of superconductor . i
  • 8. Superconductivity -Properties 4. Effect of Entropy 6. Thermal Conductivity 5. Specific Heat Temperature Temperature Temperature
  • 9. 7. Diamagnetic property :- Meissner Effect • Magnetic Lines of force penetrate through a normal conducting material when placed in a magnetic field of flux density B. • Whereas, a superconducting material repels the magnetic field & thus behaves as a diamagnetic material. • A superconducting material also ejects magnetic lines of force when cooled for superconductivity. B ¹0 B = 0 Normal state T>Tc H>Hc Superconducting state T<Tc H<Hc
  • 10. Types of Superconductors Type I • Exhibit Meissner Effect • Behave as a prefect diamagnetic material • There is only one Hc • No mixed state is present • Sudden loss of magnetisation • Soft superconductor • Eg. – Pb, Sn, Hg Type II • Does not exhibit complete Meissner Effect • Does not behave as a perfect diamagnetic material • There are two HCs – HC1 & HC2 • Mixed state present • Gradual loss of magnetisation • Hard superconductor • Eg. – Nb-Sn, Nb-Ti M Superconducting Normal H H C Super-conducting -M Normal Mixed HC1 HC HC2 H
  • 11. High-Temperature Superconductors • High Temperature superconductors have high Tc values. • They are not metal or intermetallic compounds but oxides of copper in combination with other elements. • In 1983, 1987 & 1988, materials with Tc up to 40K, 93K and 125K have been discovered respevtively. • The HTSC compounds are represented by simplified notations as 1212, 1234, etc. These notations are based on number of atoms in each metal element. • They are brittle and easy to form wires and tapes. • HTSC wires/tapes provide transmission of electrical power over a long distance without any resistive loss.
  • 13. Application of Superconductors 1. Josephson Effect • In 1962, Brain Josephson predicted the flow of current in insulator sandwiched between two superconductors on the application of a D.C. Voltage. Insulator
  • 14. Components Of Current • D.C. Component of Current – This component of current exists even after the applied voltage is removed. • A.C. Component of Current – This component of current exists only during the existence of applied voltage. The frequency of A.C. components is g = 2eV / h
  • 15. Uses of Josephson devices • Magnetic Sensors • Gradiometers • Oscilloscopes • Decoders • Analogue to Digital converters • Oscillators • Microwave amplifiers • Sensors for biomedical, scientific and defence purposes • Digital circuit development for Integrated circuits • Microprocessors • Random Access Memories (RAMs)
  • 16. Application of Superconductors 2. SQUID (Superconducting Quantum Interface Device) • SQUID is a type of magnetometer. • It is the most sensitive type of detector known to science. • Low Temperature superconductors are used for fabricating SQUID. • It consists of a superconducting loop of two Josephson junctions.
  • 17. Discovery: • The DC SQUID was invented in 1964 by Robert Jaklevic, John Lambe, Arnold Silver and James Mercereau of Ford Research Labs Principle : • Small change in magnetic field, produces variation in the flux quantum. Uses : • Storage device for magnetic flux • Study of earthquakes • Removing paramagnetic impurities • Detection of magnetic signals from brain, heart etc.
  • 18. Application of Superconductors i A B 3.Cryotron The cryotron is a switch that operates using superconductivity. The cryotron works on the principle that magnetic fields destroy superconductivity.
  • 19. • Hca & Hcb are critical fields of material A & B respectively & Hca<Hcb. • The current ‘i’ induces some magnetic field ‘H’ in both materials. If ‘H’ lies between Hca & Hcb, then the induced field will destroy the superconductivity of material A & hence contact will be broken due to increase in resistivity.
  • 20. Application of Superconductors 4. Maglev (Magnetic Leviation) • Principle: Electro-magnetic induction  Magnetic levitation transport, or maglev, is a form of transportation that suspends, guides and propels vehicles via electromagnetic force. This method can be faster than wheeled mass transit systems, potentially reaching velocities comparable to turboprop and jet aircraft (500 to 580 km/h).
  • 21. Advantages  No need of initial energy in case of magnets for low speeds  One litre of Liquid nitrogen costs less than one litre of mineral water  Onboard magnets and large margin between rail and train enable highest recorded train speeds (581 km/h) and heavy load capacity. Successful operations using high temperature superconductors in its onboard magnets, cooled with inexpensive liquid nitrogen  Magnetic fields inside and outside the vehicle are insignificant; proven, commercially available technology that can attain very high speeds (500 km/h); no wheels or secondary propulsion system needed  Free of friction as it is “Levitating”