Fractional Statistics
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Fractional Statistics
In physics, an anyon is a type of quasiparticle so far observed only in two-dimensional systems. In three-dimensional systems, only two kinds of elementary particles are seen: fermions and bosons. Anyons have statistical properties intermediate between fermions and bosons. In general, the operation of exchanging two identical particles, although it may cause a global phase shift, cannot affect observables. Anyons are generally classified as ''abelian'' or ''non-abelian''. Abelian anyons, detected by two experiments in 2020, play a major role in the fractional quantum Hall effect. Introduction The statistical mechanics of large many-body systems obeys laws described by Maxwell–Boltzmann statistics. Quantum statistics is more complicated because of the different behaviors of two different kinds of particles called fermions and bosons. In two-dimensional systems, however, there is a third type of particle, called an anyon. In a two-dimensional world, two identical anyons c ...
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Anion
An ion () is an atom or molecule with a net electrical charge. The charge of an electron is considered to be negative by convention and this charge is equal and opposite to the charge of a proton, which is considered to be positive by convention. The net charge of an ion is not zero because its total number of electrons is unequal to its total number of protons. A cation is a positively charged ion with fewer electrons than protons (e.g. K+ ( potassium ion)) while an anion is a negatively charged ion with more electrons than protons (e.g. Cl− ( chloride ion) and OH− ( hydroxide ion)). Opposite electric charges are pulled towards one another by electrostatic force, so cations and anions attract each other and readily form ionic compounds. Ions consisting of only a single atom are termed ''monatomic ions'', ''atomic ions'' or ''simple ions'', while ions consisting of two or more atoms are termed polyatomic ions or ''molecular ions''. If only a + or − is present, it indi ...
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Fermions
In particle physics, a fermion is a subatomic particle that follows Fermi–Dirac statistics. Fermions have a half-integer spin ( spin , spin , etc.) and obey the Pauli exclusion principle. These particles include all quarks and leptons and all composite particles made of an odd number of these, such as all baryons and many atoms and nuclei. Fermions differ from bosons, which obey Bose–Einstein statistics. Some fermions are elementary particles (such as electrons), and some are composite particles (such as protons). For example, according to the spin-statistics theorem in relativistic quantum field theory, particles with integer spin are bosons. In contrast, particles with half-integer spin are fermions. In addition to the spin characteristic, fermions have another specific property: they possess conserved baryon or lepton quantum numbers. Therefore, what is usually referred to as the spin-statistics relation is, in fact, a spin statistics-quantum number relation. As ...
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Daniel Tsui
Daniel Chee Tsui (, born February 28, 1939) is an American physicist. He is currently serving as the Professor of Electrical Engineering, emeritus, at Princeton University. Tsui's areas of research include electrical properties of thin films and microstructures of semiconductors and solid-state physics. Tsui won the Nobel Prize in Physics of 1998 with Robert B. Laughlin and Horst L. Störmer "for their discovery of a new form of quantum fluid with fractionally charged excitations." Biography Tsui was born into a Chinese agricultural family with two illiterate parents in Fanzhuang (Henan) (), Baofeng, Henan, Republic of China, on February 28, 1939. Born in the midst of Second World War, Tsui described his early childhood memories as being "filled with the years of drought, flood and war which were constantly on the consciousness of the inhabitants of my over-populated village." In 1951, Tsui left for Hong Kong to attend Pui Ching Middle School in Kowloon, beginning his for ...
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