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Natural orbitals renormalization group approach to a Kondo singlet | | Ru Zheng
; Rong-Qiang He
; Zhong-Yi Lu
; | | Date: |
8 Mar 2018 | | Abstract: | A magnetic impurity embedded in a metal host is collectively screened by a
cloud of conduction electrons to form a Kondo singlet below a characteristic
energy scale $T_K$, the Kondo temperature, through the mechanism of the Kondo
effect. We have reinvestigated the Kondo singlet by means of the newly
developed natural orbitals renormalization group (NORG) method. We find that,
in the framework of natural orbitals formalism, the Kondo screening mechanism
becomes transparent and simple, while the intrinsic structure of Kondo singlet
is clearly resolved. For a single impurity Kondo system, there exits a single
active natural orbital which screens the magnetic impurity dominantly. In the
perspective of entanglement, the magnetic impurity is entangled dominantly with
the active natural orbital, i.e., the subsystem formed by the active natural
orbital and the magnetic impurity basically disentangles from the remaining
system. We have also studied the structures of the active natural orbital
respectively projected into real space and momentum space. Moreover, the
dynamical properties, represented by one-particle Green’s functions defined at
impurity site with active natural orbital, were obtained by using correction
vector method. In order to clarify the spatial extension of the Kondo screening
cloud, the concept of Kondo correlation energy was introduced. With this
concept we obtain a characteristic length scale beyond which the Kondo
screening cloud is hardly detected in experiment. Our numerical results
indicate that this characteristic length scale usually is just a few
nanometers, which interprets why it is difficult to detect the Kondo screening
cloud experimentally in a metal host. | | Source: | arXiv, 1803.3072 | | Services: | Forum | Review | PDF | Favorites | |
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