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Burocracia. TODOS os alunos de fora da UFU devem , por favor, enviar os seguintes documentos o mais rapidamente possível :. Certidão de nascimento ou casamento CPF Cédula de Identidade Título de Eleitor (ou quitação eleitoral)
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Burocracia... TODOS osalunos de fora da UFU devem, por favor, enviarosseguintesdocumentos o maisrapidamentepossível: Certidão de nascimento ou casamento CPF Cédula de Identidade Título de Eleitor (ou quitação eleitoral) Certificado de conclusão (ou Diploma) de graduação; ou Certificado de conclusão (ou Diploma) de Mestrado Por favor, mandeosdocumentos para cpgfisica@ufu.br com identificações do tipo: CPF-nome-ultimosobrnome.pdf RG-nome-ultimosobrenome.pdf etc. (facilitar o processamento) Se você é aluno da UFU (graduaçãooupósgraduação), por favor, envie para cpgfisica@ufu.brapenas o seunome e número de matricula.
Some things to do in the computer Using a browser, please, download the following files: http://nrgljubljana.ijs.si/tutorial_2019.tar.gz http://nrgljubljana.ijs.si/nrg.simg Copy both files (located in the /Downloads directory) to the /Documentos directory and then issue the command: >tar xvzf tutorial_2019.tar.gz Make sure that you use a machine during the whole course where this procedure was done, otherwise you may not be using the last version of Prof. Zitko’s files...
Continuation... Now, please, run the following command: >sudonmap -sn 10.2.99.1/24 This should result in a long output, from which we are interested only on the third line from the bottom, which should read something like this: >Nmap scan report for 10.2.99.### This is the IP address of your machine. Please, on a post-it that was distributed, take note of the three digits ### and affix it at the side of the tower. This will help us to arrange the machines back on their right places at the end of the School.
Kondo Physics: Basic Ideas A short history of the Kondo problem and many-body concepts: the minimum in the resistivity of some metals Kondo’s calculations and divergencies Local moment formation in metals Anderson’s Poor man’s scaling and the genesis of renormalization ideas The spread of RG ideas to other areas in Physics, from high energy physics to econophysics(financial markets) NRG UFU/2019 Warm up lectures – 01/23/2019 (02:00 to 05:00 PM)
Kondo Physics: Basic Ideas Experimentalists... born 1923 1921 - 2014 born 1930 Jacques Friedel Jun Kondo PW Anderson 1936 - 2013 born 1972 (?) Kenneth G. Wilson David Goldhaber-Gordon
ρ J T EF The minimum in the resistivity low temperature TK Kondo cloud • Not a phase transition, it is rather a crossover • The first truly many-body state to be recognized as such • Could only be finally explained through scaling (RG) ideas
Formation of magnetic moments in dilute alloys A. J. Heeger, Solid State Physics 23, 283 (1969) and Philip Phillips’ textbook imp metal small % M. P. Sarachik et al., Phys. Rev. 135 , A1041 (1964) A. M. Clogston et al., Phys. Rev. 125, 541 (1962) 1% Iron in Mo-Nb and Mo-Re alloys
Anderson Model : formation of localized magnetic states PW Anderson, Localized magnetic states in metals, Phys. Rev. 124 (1961) 41–53 The presence of the impurity (U) correlates ALL electrons in the system Anderson tried a mean-field (Hartree-Fock) solution to this many body problem: neglecting fluctuations around the average
Hartree-Fock solution (see Philip Phillips book – Chap 6) Localized moment requires the level to be single occupied almost double occupied... too close to the Fermi level...
ρ J T J EF Kondo effect: From metals to QD’s low temperature TK G.-Gordon et al. Nature 391 (1998) Kondo cloud T > TK T < TK
2d electron gas metallic gates tunneling barrier ‘island’ of electrons Quantum dots: Coulomb blockade electron charge is quantized Coulomb blockade regime
Coulomb Blockade and Kondo effect in Quantum Dots Virtual processes through 0- and 2-electron states generate a coherent many body state involving conduction electrons, which screen the localized moment. Below a certain characteristic temperature (TK) EF Coulomb Blockade Kondo Regime
Probing the Kondo cloud – spin channel(two-site toy model) ... correlations
EF Heuristic approach to the Kondo cloud screening length For typical TK and vF values we have: Conduction electrons scattering off the Kondo resonance (with width kBTK ) will have a life-time given by: Taking the conduction electron velocity to be the Fermi velocity, the extent of the Kondo cloud can be estimated as:
High energy and econophysics For various applications of RG in differents areas in physics, please see: New applications of the renormalization group method in physics: a brief introduction Phil. Trans. R. Soc. A (2011) 369, 2602–2611 doi:10.1098/rsta.2011.0117 For applications in econophysics, please see: Market Crashes as Critical Phenomena? Explanation, Idealization, and Universality in Econophysics (arXiv:1704.02392)
Friday social activity ALFAIATARIA R Barão de Camargos, 614, Centro, Uberlândia - MG, 38400-160