The concept of dynamical symmetries is used for formulation of the renormalization group approach... more The concept of dynamical symmetries is used for formulation of the renormalization group approach to the Kondo effect in the Anderson model with repulsive and attractive interaction U in the Kondo and mixed valence regimes. It is shown that the generic local symmetry of the Anderson Hamiltonian is determined by the SU(4) Lie group. The Anderson Hamiltonian is rewritten in terms of the Gell-Mann matrices of 4-th rank, which form the set of group generators and the basis for construction of the irreducible vector operators describing the excitation spectra in the charge and spin sectors. The multistage Kondo screening is also interpreted as a manifestation of the local SU(4) dynamical symmetry. It is shown that the similarity between the conventional Kondo cotunneling effect for spin 1/2 in the positive U model and the Kondo resonance for pair tunneling in the negative U model is a direct manifestation of implicit SU(4) symmetry of the Anderson/Kondo model. The transformation from local SU(4) symmetry to the global SO(4) symmetry in the Hubbard chain model is also discussed.
Physica E: Low-dimensional Systems and Nanostructures, 2003
It is shown that the resonance tunneling through a complex quantum dot with even occupation revea... more It is shown that the resonance tunneling through a complex quantum dot with even occupation reveals the hidden dynamical SO(n) symmetry of this dot. This symmetry is manifested in unconventional mechanisms of Kondo resonance formation, where the gate voltage may tune the rank n gradually. In a specific case of triple quantum dot, the regimes with n=3,4,5,7 can be achieved.
ABSTRACT The properties of layered Anderson/Kondo lattices with metallic electrons confined in 2D... more ABSTRACT The properties of layered Anderson/Kondo lattices with metallic electrons confined in 2D xy planes and local spins in insulating layers forming chains in z direction are studied. Each spin possesses its own 2D Kondo cloud, so that the Nozieres’ exhaustion problem does not arise. The excitation spectrum is gapless both in charge and spin sectors. Possible experimental realizations of the model are briefly discussed.
The concept of dynamical symmetries is used for formulation of the renormalization group approach... more The concept of dynamical symmetries is used for formulation of the renormalization group approach to the Kondo effect in the Anderson model with repulsive and attractive interaction U in the Kondo and mixed valence regimes. It is shown that the generic local symmetry of the Anderson Hamiltonian is determined by the SU(4) Lie group. The Anderson Hamiltonian is rewritten in terms of the Gell-Mann matrices of 4-th rank, which form the set of group generators and the basis for construction of the irreducible vector operators describing the excitation spectra in the charge and spin sectors. The multistage Kondo screening is also interpreted as a manifestation of the local SU(4) dynamical symmetry. It is shown that the similarity between the conventional Kondo cotunneling effect for spin 1/2 in the positive U model and the Kondo resonance for pair tunneling in the negative U model is a direct manifestation of implicit SU(4) symmetry of the Anderson/Kondo model. The transformation from local SU(4) symmetry to the global SO(4) symmetry in the Hubbard chain model is also discussed.
Physica E: Low-dimensional Systems and Nanostructures, 2003
It is shown that the resonance tunneling through a complex quantum dot with even occupation revea... more It is shown that the resonance tunneling through a complex quantum dot with even occupation reveals the hidden dynamical SO(n) symmetry of this dot. This symmetry is manifested in unconventional mechanisms of Kondo resonance formation, where the gate voltage may tune the rank n gradually. In a specific case of triple quantum dot, the regimes with n=3,4,5,7 can be achieved.
ABSTRACT The properties of layered Anderson/Kondo lattices with metallic electrons confined in 2D... more ABSTRACT The properties of layered Anderson/Kondo lattices with metallic electrons confined in 2D xy planes and local spins in insulating layers forming chains in z direction are studied. Each spin possesses its own 2D Kondo cloud, so that the Nozieres’ exhaustion problem does not arise. The excitation spectrum is gapless both in charge and spin sectors. Possible experimental realizations of the model are briefly discussed.
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Papers by K. Kikoin
which form the set of group generators and the basis for construction of the irreducible vector operators describing the excitation spectra in the charge and spin sectors. The multistage Kondo screening is also interpreted as a manifestation of the local SU(4) dynamical symmetry. It is shown that the similarity between the conventional Kondo cotunneling effect for spin 1/2 in the positive U model and the Kondo resonance for pair tunneling in the negative U model is a direct manifestation of implicit SU(4) symmetry of the Anderson/Kondo model. The transformation from local SU(4) symmetry to the global SO(4) symmetry in the Hubbard chain model is also discussed.
which form the set of group generators and the basis for construction of the irreducible vector operators describing the excitation spectra in the charge and spin sectors. The multistage Kondo screening is also interpreted as a manifestation of the local SU(4) dynamical symmetry. It is shown that the similarity between the conventional Kondo cotunneling effect for spin 1/2 in the positive U model and the Kondo resonance for pair tunneling in the negative U model is a direct manifestation of implicit SU(4) symmetry of the Anderson/Kondo model. The transformation from local SU(4) symmetry to the global SO(4) symmetry in the Hubbard chain model is also discussed.