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Magnetic flux quantum

physical science Maturity 7-9 Next article →

Magnetic flux is a measurement of a magnetic field passing through a specific area, like a loop. Usually, this flux can be any value. However, in certain materials, the flux is quantized. This means it can only exist in specific, fixed increments. The basic unit of these increments is called the magnetic flux quantum. This phenomenon is a vital part of quantum mechanics. It shows how tiny quantum rules can affect large, visible objects.

To understand how this works, we must look at superconductors. These are materials that allow electricity to flow without losing energy. Inside a superconductor, particles called Cooper pairs move together. These pairs consist of two electrons working as a single unit. The state of these pairs is described by a wave function called the order parameter. This function has a specific phase, which is like a mathematical angle. In a superconducting ring or a hole, this phase must return to its starting value after one full trip around the loop.

This requirement for the phase creates the quantization. When you calculate the current of the Cooper pairs around a loop, the math shows that the magnetic flux must be a multiple of a specific value. This value is the magnetic flux quantum. It is a combination of two fundamental constants: the Planck constant and the electron charge. Because these constants never change, the flux quantum is exactly the same for every superconductor.

Scientists have a long history of studying these values. Fritz London first predicted flux quantization in 1948 using a mathematical model. Later, the Aharonov–Bohm effect provided further insight into these quantum behaviors. In 1961, the theory was finally proven in a laboratory. Two different teams made this discovery independently. B. S. Deaver and W. M. Fairbank found it, and R. Doll and M. Näbauer found it as well.

Flux quantization appears in different forms depending on the material. In Type II superconductors, the magnetic field does not stay entirely outside the material. Instead, the field enters in tiny tubes called Abrikosov vortices. Each vortex has a core that acts like a tiny hole. This core is a cylinder of normal, non-superconducting material. The magnetic field lines pass through these cores. Each individual vortex carries exactly one quantum of magnetic flux.

This science is incredibly useful for making precise tools. One example is the SQUID, which is a very sensitive magnetometer. A SQUID uses flux quantization to detect extremely small magnetic fields. Another important value is the Josephson constant. This is the mathematical inverse of the magnetic flux quantum. It relates the frequency of irradiation to the potential difference across a Josephson junction. This effect is used globally to provide a standard for high-precision electrical measurements.

Today, these constants help define our entire system of measurement. Before 2019, the Josephson constant helped scientists find very accurate values for the Planck constant. Following the 2019 revision of the International System of Units (SI), many values became fixed. The Planck constant and the elementary charge now have exact, fixed values. This means the Josephson constant and the von Klitzing constant are also fixed. These constants are now primary tools for defining the ampere and other electrical units in science.

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