Superconductivity

One of the most significant properties of solids is that certain metals and alloys exhibit almost zero resistivity when cooled to a sufficiently low temperature. This phenomenon is known as superconductivity.

H K Onnes (1911) observed that as purified mercury is cooled, its resistivity vanishes abruptly at 4.2K. Onnes recognized this as a new phenomenon and termed it superconductivity. 

The temperature at which the substance loses its resistivity and transforms into the superconducting state is the critical temperature (Tc).

  • Superconducting transition is reversible.
  • The substances show different physical states and properties below and above the transition temperature.
  • Magnetic behavior changes in the superconducting state
The superconductor behaves as a diamagnet.

Meissner effect:

If we keep a specimen in a magnetic field at room temperature, the magnetic flux lines penetrate the substance (Figure 1). If we reduce the temperature to T< Tc, the flux lines will not penetrate (expelled from the specimen). This phenomenon is known as the Meissner effect. 



The Meissner effect.

The magnetic susceptibility of a superconductor is -1. That means the superconductor is getting magnetized in a direction opposite to the applied magnetic field and behaves as a diamagnet. The superconductor behaves like this only up to a strength for the applied magnetic field. If we increase the magnetic field by keeping T<Tc   

at a particular magnetic field, the specimen becomes normal. This field is the critical magnetic field. Such superconductors are known as type 1 superconductors.

In type 2 superconductors, the transition from a superconducting state to a normal state is gradual. Different features of these two types are given below (Figure 2)

 

Magnetization vs. applied magnetic field for

(a) Type I superconductor (b) Type II superconductor

No. 

Type I

Type II

1

The transformation from a superconducting state to a normal state is sudden. 

Transformation is gradual.

2

One critical magnetic field

More than one critical magnetic field

3

The highest known value of the critical field is 0.1 Tesla. 

The highest value is 0.3 Tesla.

4

Exhibit complete Meissner effect. 

Do not exhibit the Meissner effect completely. 

5

Soft

Hard

6

Tolerate impurities without affecting superconductivity. 

Do not tolerate impurities.

 7 

Current flow only through the surface. 

Current flow through the interior

Examples

Tin, Aluminum, Lead

 

Niobium, Boron, Silicon


The critical field decreases as the temperature rises from 0k to T=Tc (Figure 3). That means the value of the magnetic field is maximum at 0K and vanishes at T=Tc.



Threshold curves of the critical field vs. temperature for several superconductors

Classification


There are many criteria for classifying superconductors. The most common are:


Response to a magnetic field


  • A superconductor Type I, meaning it has a single critical field.
  • Above the critical field, all superconductivity is loose, and below which, the complete expulsion of the magnetic field from the superconductor
  • A superconductor Type II, meaning it has two crucial fields.
  • The material allows partial penetration of the magnetic field lines. [4] These points are called vortices. [5] 
  • A superconductor type 1.5, meaning multicomponent superconductors.
  • Possibility to have a combination of the two behaviors. [6]

By operation


If we explain superconductivity by the BCS theory or its derivatives, is conventional. It is unconventional, otherwise. [7] Alternatively, a superconductor is called unconventional if the superconducting order parameter transforms according to a non-trivial irreducible representation of the point group or space group.

By critical temperature


  • A superconductor is high-temperature if it reaches a superconducting state above a temperature of 30 K (−243.15 °C) [8] as in the initial discovery by Georg Bednorz and K. Alex Müller. [3] 
It may also reference materials that transition to superconductivity when cooled using liquid nitrogen, that is, at only Tc > 77 K. However, this is generally used only to emphasize that liquid nitrogen coolant is sufficient. 
  • Low-temperature superconductors refer to materials with a critical temperature below 30 K and are cooled mainly by liquid helium (Tc > 4.2 K). 
One exception to this rule is the iron pnictide group of superconductors, which displays behavior and properties typical of high-temperature superconductors. Yet, some of the groups have critical temperatures below 30 K.

By material


Superconductor material classes include chemical elements (e.g., mercury or lead), alloys (such as niobium-titanium, germanium–niobium, and niobium nitride), ceramics (YBCO and magnesium diboride), superconducting pnictides (like fluorine-doped LaOFeAs) or organic superconductors (fullerenes and carbon nanotubes; though perhaps these examples should be included among the chemical elements, as they are composed entirely of carbon). [9][10][12]

High-temperature superconductivity


Until 1986, physicists had believed that BCS theory forbade superconductivity at temperatures above about 30 K. In that year, Bednorz and Müller discovered superconductivity in lanthanum barium copper oxide (LBCO), a lanthanum-based cuprate perovskite material, which had a transition temperature of 35 K (Nobel Prize in Physics, 1987). [20] Then, the invention of yttrium (i.e., making YBCO) raised the critical temperature above 90 K.[21]

This temperature jump is of particular engineering significance since it allows liquid nitrogen as a refrigerant, replacing liquid helium. [21] Liquid nitrogen is relatively cheap, even on-site. The higher temperatures help to avoid problems that arise at liquid helium temperatures, such as plugs of frozen air that can block cryogenic lines and cause unanticipated and potentially hazardous pressure buildup. [22][23]

The discovery of many other cuprate superconductors happened, and the theory of superconductivity in these materials is one of the outstanding challenges of theoretical condensed matter physics. [25][24]

Two hypotheses are there– the resonating-valence-bond theory and spin fluctuation, that support the research community. [26] The second hypothesis proposed that electron pairing in high-temperature superconductors. [27][28]

In 2008, holographic superconductivity, which uses holographic duality or AdS/CFT correspondence theory, was proposed by Gubser, Hartnoll, Herzog, and Horowitz as a possible explanation of high-temperature superconductivity in certain materials. [29]

From about 1993, the highest-temperature superconductor known as a ceramic material consisting of mercury, barium, calcium, copper, and oxygen (HgBa2Ca2Cu3O8+δ) with Tc = 133–138 K.[30][31]

An iron-based family of high-temperature superconductors was another discovery in February 2008. [32][33] Hideo Hosono of the Tokyo Institute of Technology and his colleagues found Lanthanum oxygen fluorine iron arsenide (LaO1−xFxFeAs), an oxypnictide that superconducts below 26 K. Replacing the lanthanum in LaO1−offers with samarium leads to superconductors that work at 55 K.[34]

In 2014 and 2015, hydrogen sulfide (H

2S) at extremely high pressures (around 150 gigapascals) was first predicted and then confirmed to be a high-temperature superconductor with a transition temperature of 80 K.[35][65][66] Additionally, in 2019, it was discovered that lanthanum hydride (LaH

10) becomes a superconductor at 250 K under a pressure of 170 gigapascals. [36][37]

In 2018, a research team from the Department of Physics, Massachusetts Institute of Technology, discovered superconductivity in bilayer graphene with one layer twisted at an angle of approximately 1.1 degrees with cooling and applying a small electric charge. Even if they did not do the experiments in a high-temperature environment, the correlation of the results is less to classical but high-temperature superconductors, given without introducing foreign atoms. [38] The superconductivity effect came out because of the electrons twisting into a vortex between the graphene layers, called skyrmions. These act as a single particle and can pair up across the graphene's layers, leading to the conditions required for superconductivity. [39]


High-Temperature Superconductors:

  • The discovery of a superconductor with a transition temperature above 77 K (boiling point of liquid nitrogen) was a remarkable development. 
In the year 1987, researchers discovered an oxide compound Y Ba2 Cu 3O 3, Yitrium Barium Copper Oxide (Y B C O) with transition temperature 90 K. A thallium-based compound, Ti-Ba-Ca-Cu-O (T B C C O) with transition temperature 125 K has been discovered in 1988.

  •  Another discovery in 2006 was the discovery of Mercury Thallium Barium Calcium Copper Oxide with Tc, 138 K. 
  • High Tc superconductors are type II superconductors. 
Copper Oxide-based superconductors are known as Cuprate superconductors. They are different from conventional superconductors such as mercury or lead. The search for a theoretical understanding of high Tc superconductivity is one of the most unsolved problems in Physics.


A high-temperature superconductor levitating above a magnet. Persistent electric current flows on the surface of the superconductor, acting to exclude the magnetic field of the magnet (Meissner effect). This current effectively forms an electromagnet that repels the magnet. [20]

Applications:


Superconductors are promising materials for devising fundamental circuit elements of electronic, spintronic, and quantum technologies. One example is a superconducting diode, in which supercurrent flows along one direction only, that promises dissipationless superconducting and semiconducting-superconducting hybrid technologies. [11]

  • Superconducting magnets are some of the most powerful electromagnets known.
  • In MRI/NMR machines, mass spectrometers, beam-steering magnets used in particle accelerators, and plasma confining magnets in some tokamaks, etc., we use superconductors.
  • In the pigment industries, use it for magnetic separation, for extracting weakly magnetic particles from a background of fewer or non-magnetic particles.
  • In large wind turbines, to overcome the restrictions imposed by high electrical currents.

An industrial grade 3.6 megawatt superconducting windmill generator has been tested successfully in Denmark. [12]

In the 1950s and 1960s, experimental digital computers with superconductors and cryotron switches. [13]  Recently, scientists applied superconductors to make digital circuits based on rapid single flux quantum technology and RF and microwave filters for mobile phone base stations.


The most spectacular application of superconducting magnets is:

  •  Maglev trains, levitated trains for a rapid transit system.
  • Small-scale superconducting devices are with the principle of Josephson tunneling.
  • The most promising application of the Josephson effect is in the superconducting quantum interference device (SQUID). The memory cells are made of SQUID and are faster and free of energy dissipation. 
  • For making sensitive magnetometers, we can use this material. 
  • These magnetometers measure weak magnetic fields. 
  • Using these magnetometers, we can measure magnetic signals produced by the human heart and brain.

Other uses are:


  • To build Josephson junctions, which are the building blocks of SQUIDs (superconducting quantum interference devices), the most sensitive magnetometers known.
  • To build scanning SQUID microscopes and magnetoencephalography.
  • Superconducting photon detectors[14] can be realized in several device configurations.
  • To build thermometers in cryogenic micro-calorimeter photon detectors and ultrasensitive bolometers.
  • Superconducting nanowire single-photon detectors offer high-speed, low-noise single-photon detection and have been employed widely in advanced photon-counting applications. [15]

Other early markets are arising where the relative efficiency, size, and weight advantages of devices based on high-temperature superconductivity outweigh the additional costs involved. For example, in wind turbines, lower weight and volume of superconducting generators could lead to savings in construction and tower costs, offsetting the higher costs for the generator and lowering the total levelized cost of electricity (LCOE). [16]

Promising future applications:

  • High-performance smart grids.
  •  Electric power transmission.
  • Magnetic levitation devices, fault current limiters, enhancing spintronic devices with superconducting materials,[17] and superconducting magnetic refrigeration, etc.,
  • However, superconductivity is sensitive to moving magnetic fields, so applications that use alternating current (e.g., transformers) will be developed than those that rely upon direct current.

Compared to traditional power lines, superconducting transmission lines are more efficient and require only a fraction of the space, which leads to better environmental performance and improved public acceptance. [18] Another attractive industrial aspect is the ability for high power transmission at lower voltages. [19] Advancements in the efficiency of cooling systems and cheap coolants such as liquid nitrogen helped to

decrease in the cooling costs needed for superconductivity.


Recent developments:


  • The material with the highest accepted superconducting temperature is highly pressurized lanthanum decahydride, whose transition temperature is approximately 250 K [1,2].
  • In 2020, a room-temperature superconductor (critical temperature 288 K) developed from hydrogen, carbon, and sulfur under pressures of around 270 gigapascals (a paper in Nature). [40][41] 

    On 31 December 2023, Global Room-Temperature Superconductivity in Graphite was published in the journal Advanced Quantum Technologies, claiming to demonstrate superconductivity at room temperature and ambient pressure in Highly oriented pyrolytic graphite with dense arrays of nearly parallel line defects. [43]

However, in 2022, the editors retracted the article because of the validity of background subtraction procedures. All nine authors maintain that the raw data strongly support the paper. [42]


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7^ Gibney, Elizabeth (5 March 2018). "Surprise graphene discovery could unlock secrets of superconductivity". News. Nature555 (7695): 151–152. Bibcode:2018Natur.555..151Gdoi:10.1038/d41586-018-02773-wPMID 29517044Superconductors come broadly in two types: conventional, in which the activity can be explained by the mainstream theory of superconductivity, and unconventional, where it can't.

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13^ Brock, David C. (2014-03-19). "Dudley Buck's Forgotten Cryotron Computer"Institute of Electrical and Electronics Engineers. Retrieved 2021-03-30.

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