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28.10.22 Samira Hatoum (MSc talk)
Numerical Solution of the Spin Functional Renormalization Group for the Ising Model
28.10.2022 at 09:00
Abstract: In this work, we theoretically study the ground-state properties and out-of-equilibrium dynamics when a Kondo impurity couples with 1D and 2D attractive Hubbard bath at half-filling. First, we find the ground state exhibits a singlet-doublet phase transition, and observe the competition between the Kondo correlation and the superconducting (SC) order. In particular, the SC gap on the two sides of the 1D chain exhibit a \pi phase shift when the Kondo singlet forms. Then we study the relaxation dynamics of the impurity coupled to a 2D bath, and observe a fast buildup of Kondo correlation near the impurity, with a spin-wave emitted into the bath. The presence of the SC gap leads to an exponential decay of the spin-wave amplitude. Finally, we study the transport between two 1D chains connected by the impurity. By adding a bias voltage, we observe the Josephson effect in the weak-link regime and the ballistic charge transport when the Kondo singlet forms. The charge transport further dramatically influences the bath and the impurity state, leading to rich behaviors such as the dynamical breaking of the Kondo singlet.
Room A 450