Functional Integral Approach to the Bound State Due to the<i>s</i>-<i>d</i>Exchange Interaction

Yoshimori, Akira; Sakurai, Akio

doi:10.1143/ptps.46.162

Cited by 41 publications

(35 citation statements)

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“…The mean-field approach has been known as a useful method to investigate the ground state with the Kondo effect in the condense matter physics [38][39][40] (see also Refs. [4,41]).…”

Section: B Mean-field Approximationmentioning

confidence: 99%

Kondo effect ofD¯sandD¯s*mesons in nuclear matter

Yasui

Sudoh

2017

Phys. Rev. C

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We study the Kondo effect forDs andD * s mesons as impurity particles in nuclear matter. The spin-exchange interaction between theDs orD * s meson and the nucleon induces the enhancement of the effective coupling in the low-energy scattering in the infrared region, whose scale of singularity is given by the Kondo scale. We investigate the Kondo scale in the renormalization group equation at nucleon one-loop level. We furthermore study the ground state with the Kondo effect in the mean-field approach, and present that the Kondo scale is related to the mixing strength between theDs orD * s meson and the nucleon in nuclear matter. We show the spectral function of the impurity when the Kondo effect occurs.

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“…The mean-field approach has been known as a useful method to investigate the ground state with the Kondo effect in the condense matter physics [38][39][40] (see also Refs. [4,41]).…”

Section: B Mean-field Approximationmentioning

confidence: 99%

Kondo effect ofD¯sandD¯s*mesons in nuclear matter

Yasui

Sudoh

2017

Phys. Rev. C

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“…30. For the Kondo part H K , it is based on a generalization of a functional integration approach described by Yoshimori and Sakurai for the single impurity case 34 and by Lacroix and Cyrot for the S = 1/2 Kondo lattice case. 35,36 Here we introduce the following mean field parameters: the average occupation numbers n f iασ , n c iσ and the "Kondo" parameter λ iασ = f † iσ c iασ .…”

Section: The Mean Field Approachmentioning

confidence: 99%

Application of theS=1underscreened Anderson lattice model to Kondo uranium and neptunium compounds

et al. 2011

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Magnetic properties of uranium and neptunium compounds showing the coexistence of Kondo screening effect and ferromagnetic order are investigated within the Anderson lattice Hamiltonian with a two-fold degenerate f -level in each site, corresponding to 5f 2 electronic configuration with S = 1 spins. A derivation of the Schrieffer-Wolff transformation is presented and the resulting Hamiltonian has an effective f -band term, in addition to the regular exchange Kondo interaction between the S = 1 f -spins and the s = 1/2 spins of the conduction electrons. The obtained effective Kondo lattice model can describe both the Kondo regime and a weak delocalization of 5f -electron. Within this model we compute the Kondo and Curie temperatures as a function of model parameters, namely the Kondo exchange interaction constant JK , the magnetic intersite exchange interaction JH and the effective f -bandwidth. We deduce, therefore, a phase diagram of the model which yields the coexistence of Kondo effect and ferromagnetic ordering and also accounts for the pressure dependence of the Curie temperature of uranium compounds such as UTe.

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“…As is well-known in the superconductivity and chiral symmetry breaking, we can nonperturbatively study these phenomena by the mean-field approach. Indeed, the mean-field approach is found to be useful in the Kondo effect in condensed matter physics [22][23][24][25][26][27]. Motivated by these observations, the mean-field approach was applied to the QCD Kondo effect by us in Ref.…”

Section: Introductionmentioning

confidence: 99%

Topology and stability of the Kondo phase in quark matter

2017

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We investigate properties of the ground state of a light quark matter with heavy quark impurities. This system exhibits the "QCD Kondo effect" where the interaction strength between a light quark near the Fermi surface and a heavy quark increases with decreasing energy of the light quark towards the Fermi energy, and diverges at some scale near the Fermi energy, called the Kondo scale. Around and below the Kondo scale, we must treat the dynamics nonperturbatively. As a typical nonperturbative method to treat the strong coupling regime, we adopt a mean-field approach where we introduce a condensate, the Kondo condensate, representing a mixing between a light quark and a heavy quark, and determine the ground state in the presence of the Kondo condensate. We show that the ground state is a topologically non-trivial state and the heavy quark spin forms the hedgehog configuration in the momentum space. We can define the Berry phase for the ground-state wavefunction in the momentum space which is associated with a monopole at the position of a heavy quark. We also investigate fluctuations around the mean field in the random-phase approximation, and show the existence of (exciton-like) collective excitations made of a hole $h$ of a light quark and a heavy quark $Q$.Comment: 23 pages, 8 figure

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Functional Integral Approach to the Bound State Due to thes-dExchange Interaction

Cited by 41 publications

References 0 publications

Kondo effect ofD¯sandD¯s*mesons in nuclear matter

Kondo effect ofD¯sandD¯s*mesons in nuclear matter

Application of theS=1underscreened Anderson lattice model to Kondo uranium and neptunium compounds

Topology and stability of the Kondo phase in quark matter

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