On the multichannel Kondo model

Gan, Junwu

doi:10.1088/0953-8984/6/24/016

Cited by 37 publications

(55 citation statements)

References 36 publications

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“…The first non-zero contribution to S z 1 is second order in t/J. Since 8) we find that only the second term in Eq. (7.6) will contribute and we get…”

Section: B Wave-functionmentioning

confidence: 66%

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Scaling theory of the Kondo screening cloud

Sørensen¹,

Affleck²

1996

Phys. Rev. B

117

171

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A scaling form for the local susceptibility, derived from renormalization group arguments, is proposed. The scale over which the uniform part of this scaling form varies can be viewed as a definition of the Kondo ``screening cloud" $\sim \xi_K$. The proposed scaling form interpolates between Ruderman-Kittel-Kasuya-Yosida (RKKY) results in the high temperature limit, $T\gg T_K$, and Fermi liquid results in the low temperature, long-distance limit, $T\ll T_K$, $r\gg \xi_K$. The predicted form of the Knight shift is longer range at low temperatures where the screening cloud has formed, than at high temperatures where it has not. Using weak and strong coupling perturbation theory combined with large scale density matrix renormalization group (DMRG) results we study the validity of the finite size version of the scaling form at $T=0$. We explicitly extract a length scale proportional to the Kondo length scale, $\xi_K$. The numerical results are in good agreement with the proposed scaling form and confirm the existence of the Kondo screening cloud.Comment: 33 pages + 12 figures in eps format. Uses Revtex3.0 and epsf.sty. RG arguments have been expande

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“…The first non-zero contribution to S z 1 is second order in t/J. Since 8) we find that only the second term in Eq. (7.6) will contribute and we get…”

Section: B Wave-functionmentioning

confidence: 66%

“…We have adopted the notation of Ref. ( 8). Note that the sum of these correlation functions is independent of τ since the total spin is conserved, so that the τ -integral simply gives a factor of β.…”

Section: Renormalization Group Argumentsmentioning

confidence: 99%

Scaling theory of the Kondo screening cloud

Sørensen¹,

Affleck²

1996

Phys. Rev. B

117

171

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“…For the three different susceptibilities: γ tt = 0, γ ti = γ imp , and γ ii = 2γ imp . The low-order perturbative results for β(λ) [14] and γ imp (λ) [7] are:…”

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confidence: 99%

The Kondo Screening Cloud: What Can We Learn from Perturbation Theory?

Barzykin

Affleck

1996

Phys. Rev. Lett.

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We analyse the role which the distance scale ξK = vF /TK plays in the single-impurity Kondo problem using renormalization group improved perturbation theory. We derive the scaling functions for the local spin susceptibility in various limiting cases. In particular, we demonstrate exactly that the non-oscillating part of it should be short-range, i.e., vanish for distances r ≫ 1/kF and show explicitly that the interior of the screening cloud does not exhibit weak coupling behavior.

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“…The ground state of the Kondo system is a non-magnetic Fermi-liquid type. As we have shown, the screening of the local spin can be eliminated by the polarization of the local spin, which is important to understanding the microscopic origin of non-Fermi liquid behavior of the oxide compounds, especially the high T c cuprates [8].…”

Section: Summary and Discussionmentioning

confidence: 94%

Influence of local spin polarization to the Kondo effect

Guo

2007

Front. Phys. China

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We use the spin non-degenerate single impurity Anderson model to investigate the influence of the local spin polarization to the Kondo effect. By using the SchriefferWolff transformation, we obtain a generalized s-d exchange Hamiltonian, which describes the interaction between a polarized local spin and conduction electrons. In this case, the singlet is no longer an eigenstate as shown by variational calculations where the splitting of the local energy ∆ = can be arbitrarily small. The local spin polarization d d ↓ generates the instability of the singlet ground state of the S = 1/2 s-d exchange model. ε ε − ↑ Keywords the Kondo effect, spin polarization, quantum dot PACS numbers 71.27.+a, 75.20.Hr, 73.21.La

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On the multichannel Kondo model

Cited by 37 publications

References 36 publications

Scaling theory of the Kondo screening cloud

Scaling theory of the Kondo screening cloud

The Kondo Screening Cloud: What Can We Learn from Perturbation Theory?

Influence of local spin polarization to the Kondo effect

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