Transcription of Quick and Dirty Introduction to Mott Insulators
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Quick and Dirty Introduction to Mott Insulators
Quick and Dirty Introduction to mott InsulatorsBranislav K. Nikoli Department of Physics and Astronomy, University of Delaware, 624: Introduction to Solid State Physics ~bnikolic/teaching/phys624 624: Quick and Dirty Introduction to mott InsulatorsWeakly correlated electron liquid: Coulomb interaction effects( )( )( )FneDU =rrassume:( )( ,0)()FFe UfT = r When local perturbation potential is switched on, some electrons will leave this region in order to ensure constant (chemical potential is a thermodynamic potential; therefore, in equilibrium it must be homogeneous throughout the crystal).( )U rF PHYS 624: Quick and Dirty Introduction to mott InsulatorsThomas Fermi Screening Except in the immediate vicinity of the perturbation charge, assume that is caused by the induced space charge Poisson equation:20( )( )e nU = rr/2220201( )()in vacuum: () 0,( )4 TFr rTFFFerUrrrrre DqDU = = ====rr()()()21/ 32/ 32/ 31/ 3222222
PHYS 624: Quick and Dirty Introduction to Mott Insulators Weakly correlated electron liquid: Coulomb interaction effects δ ε δn eD U( ) ( ) ( )r r= F assume: ( )
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