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Quantum Theory of Condensed Matter (260 Pages)
Quantum Theory of Condensed Matter (260 Pages)

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... Galilean moons. Quite unexpectedly, Ganymede was found to have a permanent dipole moment with equatorial field magnitude of 719 nT (Kivelson et al. 2002). This field was interpreted as dynamo-driven implying that, as for Earth, there is conducting fluid in the deep interior whose motions generate th ...
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... with an integer number of electrons on each site [10, 11]. Electron hopping between bubbles is forbidden by Coulomb blockade, hence an insulating state results[8, 9, 12–15]. Charge defects in a bubble crystal (an extra electron or lack of an electron on a bubble) provide a mechanism for conduction, ...
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Lesson 7 – Gauss`s Law and Electric Fields

... Things to remember: • We can use Gauss’s law with symmetry to calculate the electric field of spherically symmetric charge distributions. Know how to do that! • Outside the charge distribution, the field is the same as the field of a point charge with the same total charge. • Inside a hollow sphere ...
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Superconductivity



Superconductivity is a phenomenon of exactly zero electrical resistance and expulsion of magnetic fields occurring in certain materials when cooled below a characteristic critical temperature. It was discovered by Dutch physicist Heike Kamerlingh Onnes on April 8, 1911 in Leiden. Like ferromagnetism and atomic spectral lines, superconductivity is a quantum mechanical phenomenon. It is characterized by the Meissner effect, the complete ejection of magnetic field lines from the interior of the superconductor as it transitions into the superconducting state. The occurrence of the Meissner effect indicates that superconductivity cannot be understood simply as the idealization of perfect conductivity in classical physics.The electrical resistivity of a metallic conductor decreases gradually as temperature is lowered. In ordinary conductors, such as copper or silver, this decrease is limited by impurities and other defects. Even near absolute zero, a real sample of a normal conductor shows some resistance. In a superconductor, the resistance drops abruptly to zero when the material is cooled below its critical temperature. An electric current flowing through a loop of superconducting wire can persist indefinitely with no power source.In 1986, it was discovered that some cuprate-perovskite ceramic materials have a critical temperature above 90 K (−183 °C). Such a high transition temperature is theoretically impossible for a conventional superconductor, leading the materials to be termed high-temperature superconductors. Liquid nitrogen boils at 77 K, and superconduction at higher temperatures than this facilitates many experiments and applications that are less practical at lower temperatures.
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