{"id":104,"date":"2014-04-06T10:31:07","date_gmt":"2014-04-06T08:31:07","guid":{"rendered":"http:\/\/phsites.technion.ac.il\/lindner\/?page_id=104"},"modified":"2020-08-10T12:26:21","modified_gmt":"2020-08-10T09:26:21","slug":"transport-in-strongly-corelated-systems","status":"publish","type":"page","link":"https:\/\/phsites.technion.ac.il\/lindner\/transport-in-strongly-corelated-systems\/","title":{"rendered":"Transport in Strongly Corelated Systems"},"content":{"rendered":"\n

Transport in Strongly Corelated Systems<\/h1>\n\n\n\n
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Materials exhibiting strong electron-electron interactions pose some of the most outstanding puzzles in condensed matter physics. Notable examples are the cuprate high-temperature superconductors and heavy fermion metals. Transport measurements, and specifically the electronic conductivity tensor, are perhaps one of the most accessible probes for studying the properties of these materials. These measurements often reveal surprising results, which are challenging to explain theoretically. A striking example is the resistivity in the normal (high temperature) state of the cuprate superconductors, which in many materials increases linearly in temperature without showing any sign of saturation. A second important example is the Hall resistivity, which in some materials changes sign upon cooling the system into the superconducting state. Explaining these phenomena will shed considerable light on the nature of both the ground state and normal state of these materials.<\/p>\n

Selected Work<\/h3>\n
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Sign Reversal of the Hall Response in a Crystalline Superconductor<\/h4>\n

We consider the Hall conductivity due to the motion of a vortex in a lattice-model of a clean superconductor, using a combination of general arguments, unrestricted Hartree-Fock calculations, and exact diagonalization. In the weak coupling limit, kF\u03be\u226b1, the sign of the Hall response of the superconducting state is the same as that of the normal (non-superconducting) state. For intermediate and strong coupling, however, (kF\u03be\u223c1) we find that the sign of the Hall response in the superconducting state can be opposite to that of the normal state. In addition, we find that the sign reversal of the Hall response is correlated with a discontinuous change in the density profile at the vortex core. Implications for experiments in the cuprate superconductors are discussed.<\/p>\n