Exchange Interaction in Alloys with Cerium Impurities

Coqblin, B.; Schrieffer, J. R.

doi:10.1103/physrev.185.847

Cited by 750 publications

(322 citation statements)

References 22 publications

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“…The answer is already known for theories based on the Kondo problem with its singlet ground state [2][3][4][5][6] and similar theories [7][8][9][10][11].…”

Section: Spin Fluctuations In the Periodic Anderson Modelmentioning

confidence: 99%

“…The relevance of SFs to the HF state will be discussed in general terms, after which, more specifically, the appearance of SF in the eigenstates in the periodic Anderson model (PAM) is focused on [1]. The answer is already known for theories based on the Kondo problem [2][3][4][5][6][7][8][9][10][11] with its singlet ground state. However, we would like to analyze this in a more general framework, in terms of the relevant interaction length scales.…”

Section: Introductionmentioning

confidence: 99%

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Spin fluctuations and heavy fermion behavior

Wyder

1995

Physica B: Condensed Matter

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Spin fluctuations and heavy fermion behaviorWyder, U. Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. AbstractA heuristic approach to the relation of spin fluctuations (SF) and the heavy fermion (HF) state will be presented. The appearance of SF in the eigenstates of the periodic Anderson model is discussed in terms of relevant length scales, something already known for the Kondo problem but this time presented in a slightly more general framework. It will be shown that a specific form of SF can produce a HF-like state. The magnetic ordering, its small magnetic moment (using a Stoner-like criterion), charge transfer, and the magnetic field effect will be discussed.

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“…The answer is already known for theories based on the Kondo problem with its singlet ground state [2][3][4][5][6] and similar theories [7][8][9][10][11].…”

Section: Spin Fluctuations In the Periodic Anderson Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spin fluctuations and heavy fermion behavior

Wyder

1995

Physica B: Condensed Matter

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“…In fact, in the traditional prescription, first we derive the CoqblinSchrieffer model from the periodic Anderson model by evaluating the c-f exchange interaction J cf within the second-order perturbation in terms of the hybridization between f -and conduction electrons. 40 Then, we derive the RKKY interactions again using the second-order perturbation theory with respect to J cf .…”

Section: Discussion and Summarymentioning

confidence: 99%

Multipole ordering inf-electron systems on the basis of aj−jcoupling scheme

Kubo

Hotta

2005

Phys. Rev. B

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We investigate microscopic aspects of multipole ordering in f -electron systems with emphasis on the effect of lattice structure. For the purpose, first we construct f -electron models on three kinds of lattices, simple cubic (sc), bcc, and fcc, by including f -electron hopping through (f f σ) bonding in a tight-binding approximation on the basis of a j-j coupling scheme. Then, an effective model is derived in the strong-coupling limit for each lattice structure with the use of second-order perturbation theory with respect to (f f σ). By applying mean-field theory to such effective models, we find different types of multipole ordered state depending on the lattice structure. For the sc lattice, a Γ3g antiferro-quadrupole transition occurs at a finite temperature and as further lowering temperature, we find another transition to a ferromagnetic state. For the bcc lattice, a Γ2u antiferrooctupole ordering occurs first, and then, a ferromagnetic phase transition follows it. Finally, for the fcc lattice, we find a single phase transition to the longitudinal triple-q Γ5u octupole ordering.

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“…The couplings J µν αβ are typically of order V 2 /E C and their explicit expression is rather complicated. Fortunately, this 'bare' Hamiltonian simplifies considerably upon scaling -a renormalization group analysis reveals that at small energy scales (temperatures) the TA is simply described by the effective exchange Hamiltonian [14]:…”

Section: Su(4) Kondomentioning

confidence: 99%

Kondo effect and spin filtering in triangular artificial atoms

Zaránd

Brataas

Goldhaber‐Gordon

2003

Solid State Communications

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We study strongly correlated states in triangular artificial atoms. Symmetry-driven orbital degeneracy of the single particle states can give rise to an SU (4) Kondo state with entangled orbital and spin degrees of freedom, and a characteristic phase shift δ = π/4. Upon application of a Zeeman field, a purely orbital Kondo state is formed with somewhat smaller Kondo temperature and a fully polarized current through the device. The Kondo temperatures are in the measurable range. The triangular atom also provides a tool to systematically study the singlet-triplet transitions observed in recent experiments [4,11].

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Exchange Interaction in Alloys with Cerium Impurities

Cited by 750 publications

References 22 publications

Spin fluctuations and heavy fermion behavior

Spin fluctuations and heavy fermion behavior

Multipole ordering inf-electron systems on the basis of aj−jcoupling scheme

Kondo effect and spin filtering in triangular artificial atoms

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