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The fundamental physics of all quantum impurity problems can be understood in terms of RG flow between fixed points, clear signatures of which are apparent in thermodynamic and dynamical quantities as the temperature/energy scale is reduced. We show that the underlying RG structure of such problems is also naturally encoded in real-space quantities. In particular, charge densities contain precisely the same information as the t-matrix, allowing either one to be determined solely from the other.
We take the two-channel Kondo model as a non-trivial concrete example which exhibits non-Fermi liquid behaviour in real-space. Certain exact results are compared with the full solution obtained using the numerical renormalization group. We also consider how the general picture changes when an Anderson impurity is embedded in a disordered medium. |
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