CM/BIO/ECE Seminar Series

Wednesday, April 19, 2017 4:00pm

Physics Library, Room 223A, Physics Building

Departments: 

Prof. Eugene Kogan, Bar-Ilan University, Israel, will present, "Spin-anisotropic magnetic impurity in a Fermi gas: Integration of poor man’s scaling equations," Wednesday, April 19th, in the Physics Library, Room 223A, Physics Building at 4:00 p.m. Refreshments will be served beginning at 3:30 p.m.

Prof. Eugene Kogan, Bar-Ilan University, Israel

We consider a single magnetic impurity described by the spin-anisotropic s-d(f ) exchange (Kondo) model and formulate a scaling equation for the spin-anisotropic model when the density of states (DOS) of electrons is a power-law function of energy (measured relative to the Fermi energy).We solve this equation containing terms up to the second order in coupling constants in terms of elliptic functions. From the obtained solution we find the phases corresponding to the infinite isotropic antiferromagnetic Heisenberg exchange, to the impurity spin decoupled from the electron environment (only for the pseudogap DOS), and to the infinite Ising exchange (only for the diverging DOS). We analyze the critical surfaces, corresponding to the finite isotropic antiferromagnetic Heisenberg exchange for the pseudogap DOS.