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Parity anomaly and spin transmutation in quantum spin Hall
Parity anomaly and spin transmutation in quantum spin Hall

... surprising as both experiments were performed without explicitly breaking time-reversal symmetry so that basic theory would predict a dissipative 2π-periodic behavior when neglecting electron-electron interactions, or an 8πperiodic behavior when taking interactions into account. These expectations a ...
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Physical Review Letters 103, 233602 (2009)
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Lectures 10-11 - U of L Class Index
Lectures 10-11 - U of L Class Index

... For four of the d orbitals, both of these nodes are planes, giving a ‘petal-shaped’ orbital. For the fifth d orbital (_____),the nodes look more like a pair of inverted cones. This gives an orbital that looks a bit like a p orbital with a doughnut around it. (Note the phases, though; they are differ ...
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Ferromagnetism



Not to be confused with Ferrimagnetism; for an overview see Magnetism.Ferromagnetism is the basic mechanism by which certain materials (such as iron) form permanent magnets, or are attracted to magnets. In physics, several different types of magnetism are distinguished. Ferromagnetism (including ferrimagnetism) is the strongest type: it is the only one that typically creates forces strong enough to be felt, and is responsible for the common phenomena of magnetism in magnets encountered in everyday life. Substances respond weakly to magnetic fields with three other types of magnetism, paramagnetism, diamagnetism, and antiferromagnetism, but the forces are usually so weak that they can only be detected by sensitive instruments in a laboratory. An everyday example of ferromagnetism is a refrigerator magnet used to hold notes on a refrigerator door. The attraction between a magnet and ferromagnetic material is ""the quality of magnetism first apparent to the ancient world, and to us today"".Permanent magnets (materials that can be magnetized by an external magnetic field and remain magnetized after the external field is removed) are either ferromagnetic or ferrimagnetic, as are other materials that are noticeably attracted to them. Only a few substances are ferromagnetic. The common ones are iron, nickel, cobalt and most of their alloys, some compounds of rare earth metals, and a few naturally-occurring minerals such as lodestone.Ferromagnetism is very important in industry and modern technology, and is the basis for many electrical and electromechanical devices such as electromagnets, electric motors, generators, transformers, and magnetic storage such as tape recorders, and hard disks.
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