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What is Cooper pair, and what role does it play in superconductivity?

Short Answer

Expert verified

Cooper pairs are a pair of electrons at states slightly above Fermi energy and attract each other mediated via photons.

Step by step solution

01

Significance of cooper pair

Hundreds of nanometers, three orders of magnitude bigger than the lattice spacing, are thought to be the range over which electron pairs are coupling, according to the behaviour of superconductors. These linked electrons, known as Cooper pairs, can assume the characteristics of a boson and condense into the ground state.

02

Step 2:

Cooper pairs have the same momentum and are more ordered. They are at lower energy state then the normal electrons in superconductors.

03

Step 3:

At lower temperature, random vibration of the positive ions cannot scatter electrons if they are in the form of cooper pairs.

Hence, cooper pair forms when there is superconductivity. When they are broken the superconductivity also disappears.

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Most popular questions from this chapter

The left diagram in FIGURE 10.1 might represent a two atom crystal with two bands. Basing your argument on the kinetic energy inside either individual well, explain why both energies in the lower band should be roughly equal to that of the n=1 atomic state and why both energies in the upper should roughly equal that of the n=2 atomic state

The isotope effect says that the critical temperature for the superconductivity decreases as the mass of the positive ions increases. Can you argue why it should decrease?

What are the some of the properties of fullerenes that make them potentially so useful?

In section 10.2 , we discussed two-lobed Px.Pyand Pz states and 4 lobed hybrid sp3 states. Another kind of hybrid state that sticks out in just one direction is the sp , formed from a single p state and an s state. Consider an arbitrary combination of the 2s state with the 2pz state. Let us represent this bycosฯ„ฯˆ2,0,0+sinฯ„ฯˆ2,1,0(The trig factors ensure normalization in carrying out the integral , cross terms integrate to 0.leavingcos2ฯ„โˆซ|ฯˆ2,0,0|2dv+sin2ฯ„โˆซ|ฯˆ2.1.0|2dv. Which is 1.)

(a) Calculate the probability that an electron in such a state would be in the +z-hemisphere.(Note: Here, the cross terms so not integrate to 0 )

(b) What value of๐›•leads to the maximum probability, and what is the corresponding ratio ofฯˆ2,0,0 andฯˆ2,0,0 ?

(C) Using a computer , make a density (Shading) plot of the probability density-density versus r and๐›‰- for the๐›•-value found in part (b).

Question: The interatomic potential energy in a diatomic molecule (Figure 10.16) has many features: a minimum energy, an equilibrium separation a curvature and so on. (a) Upon what features do rotational energy levels depend? (b) Upon what features do the vibration levels depend?

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