Introduction to Superconductivity

(Disclaimer: This article does not cover the quantum mechanics aspect of superconductivity. Also, superconductivity in this article refers to that of Type 1 superconductors)

In a conducting wire that is connected to a power supply (e.g. battery), the free electrons move from the negative terminal to the positive terminal. (Note: keep in mind that the diagram below shows that the current is flowing from the positive terminal to the negative terminal – this is the conventional direction of the current. The actual direction of the current flows from the negative terminal to the positive terminal). The free electrons are attracted to the large positive charge at the end of the circuit as well as the positively charged nucleus of each individual atom. The effects of repulsion between electrons can be ignored, since the attraction between the positive charges and the electrons is much greater in magnitude. The free electrons therefore, flow between the nuclei to the positive terminal. This however, only occurs in an ideal condition. In reality, room temperature will give thermal energy to the particles, which will cause the lattice to vibrate within the wire. As a result, the electrons are constantly bumping into the nuclei and releasing energy from the wire as heat. This energy loss is defined as resistance.

Simple circuit diagram. “2.1 Basic circuits” [8]
Flow of electrons inside a wire. "Electric Current" (Keith Gibbs) [9]

Physicists before the 20th century observed that in a simple circuit with just a battery, light bulb, and a conducting wire (like the one shown above), the light bulb was dimmer at high temperatures and brighter at low temperatures. This is due to the fact that a wire’s resistance is proportional to the temperature. At high temperatures, the particles contained inside the wire would bump into each other more frequently which contributes to a greater energy loss and hence resulting in higher resistance. The strength of the current is what determines the brightness and from Ohm’s Law [V = I*R] (where V is voltage or potential difference, I = current, R = resistance), holding V constant, if R decreases, I increases.

At the time scientists did not have the technology necessary to observe what would happen to the resistance at very low temperatures near absolute zero. In the 20th century however, much to everybody’s surprise, it was observed that the resistance fell to zero below a certain temperature (this is called the critical temperature) for some materials. Materials that are in this state are called superconductors. In a superconductor, due to the absence of resistance, once current is generated, it will continue to flow eternally even without a power supply (e.g. battery). Superconductors are used in Maglev trains, MRI scanners, particle accelerators…etc. 

Why does this happen?

Phonon and a cooper pair. “HSC Physics - Ideas to Implementation notes - course summary” [10]

When an electron is travelling through the lattice, the positively charged nuclei are slightly attracted to the electron. This causes a distortion in the lattice and creates a relatively strong positive region within the lattice called a phonon. When this happens, another electron becomes attracted to the phonon and hence a two-electron pair called a cooper pair is formed. As the first electron continues to flow through the wire, the phonon also travels and hence the second electron follows the first electron as well. The cooper pair however, is a very weak bond (about 10^-3 eV) and only occurs at very low temperatures. At room temperature, thermal energy will overcome the strength of a cooper pair (from the equation E = 3/2*k*T, where E = energy, k = constant, T = temperature). Because a cooper pair is able to move freely through the wire without ever bumping into the lattice itself, there is no resistance inside a superconductor.

Meissner effect

The Meissner effect is an interesting phenomenon that occurs in superconductors. When a magnetic field is applied from a magnet in a conducting metal at room temperature, the magnetic field passes through the metal. In a superconductor however, when a magnetic field is applied to the metal, circular currents form within the metal. These currents are able to induce their own magnetic field in a way that opposes the direction of the magnetic field created by the magnet. And therefore, we get this situation as shown in the GIF below where a magnet levitates above the metal. 

Meissner effect GIF. “Superconductor Meissner effect” (2010) [11]
Magnetic field around a superconductor which results in the Meissner effect. “Superconductivity, Meissner Effect - ICT” [12]

Source

[1] Physicshigh. (2017). “BCS Theory simplified”.  https://www.youtube.com/watch?v=CEUo9VswoVI&t=513s Last Accessed: 17 July 2020. 

[2] “BCS Theory of Superconuctivity”. HyperPhysics. http://hyperphysics.phy-astr.gsu.edu/hbase/Solids/bcs.html Last Accessed: 17 July 2020. 

[3] “Superconductivity”. The European Organization for Nuclear Research. https://home.cern/science/engineering/superconductivity Last Accessed: 17 July 2020.

[4] DrPhysicsA. (2012). “Superconductivity – A level Physics”. https://www.youtube.com/watch?v=fuloQcljFOs&t=606s Last Accessed: 17 July 2020. 

[5] Physicshigh. (2017). “Meissner effect explanation (basic)”.  https://www.youtube.com/watch?v=NVeAmKUbXvA&t=2s Last Accessed: 17 July 2020. 

[6] “Meissner effect for superconductors”. HyperPhysics. http://hyperphysics.phy-astr.gsu.edu/hbase/Solids/meis.html Last Accessed: 17 July 2020. 

[7] “The Meissner effect”. Supraconductivite.fr. http://www.supraconductivite.fr/en/index.php?p=supra-levitation-meissner#:~:text=This%20Meissner%20effect%20happens%20when,to%20that%20of%20an%20electromagnet. Last Accessed: 17 July 2020. 

[8] “2.1 Basic circuits”. Edexcel Physics International GCSE. https://ggebooks.com/BOOK/2-electricity/2A-circuits.php Last Accessed: 17 July 2020. 

[9] Gibbs, Keith. (2020). “Electric Current”. schoolphysics. http://www.schoolphysics.co.uk/age11-14/Electricity%20and%20magnetism/Current%20electricity/text/Electric_current/index.html Last Accessed: 17 July 2020. 

[10] “HSC Physics – Ideas to Implementation notes – course summary”. Crimson Academies Dux College. https://dc.edu.au/hsc-physics-ideas-to-implementation/Last Accessed: 17 July 2020. 

[11] pl4nb33. (2010). “Superconductor Meissner effect”. thttps://www.youtube.com/watch?v=JIjzJKnpahA&feature=youtu.be Last Accessed: 17 July 2020. 

[12] “Superconductivity, Meissner Effect – ICT”. Buzztech. https://buzztech.in/superconductivity-ict/ Last Accessed: 17 July 2020.

(Thumbnail image source) [13] Hornigold, Thomas. (2018). “Why the Discovery of Room-Temperature Superconductors Would Unleash Amazing Technologies”. Singularity Hub. https://singularityhub.com/2018/05/13/the-search-for-high-temperature-superconductors/ Last Accessed: 17 July 2020. 

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