Effect of iron purity on oxidation kinetics at 600 °C to 900 °C

Zhu, Yongfu; Mimura, Kouji; Chujo, Hiroki; Hong, Sang Hwui; Lim, Joo Weon; Isshiki, Minoru; Jiang, Q.

doi:10.1007/s11661-006-0051-9

Cited by 13 publications

(19 citation statements)

References 9 publications

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“…The behavior of T K , of the spectral function and of the off-diagonal self-energy near the transition is very similar to the corresponding behavior found in the 2IKM close to its QCP 31,32,33 . To establish this connection we used Wilson's Numerical Renormalization Group to solve the impurity model underlying the self-consistency in the PM case for the same set of parameters.…”

Section: We Compute the Staggered Magnetizationsupporting

confidence: 73%

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Cellular dynamical mean-field theory of the periodic Anderson model

2008

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We develop a cluster dynamical mean field theory of the periodic Anderson model in three dimensions, taking a cluster of two sites as a basic reference frame. The mean field theory displays the basic features of the Doniach phase diagram: a paramagnetic Fermi liquid state, an antiferromagnetic state and a transition between them.In contrast with spin density wave theories, the transition is accompanied by a large increase of the effective mass everywhere on the Fermi surface and a substantial change of the Fermi surface shape across the transition. To understand the nature and the origin of the phases near the transition, we investigate the paramagnetic solution underlying the antiferromagnetic state, and identify the transition as a point where the f electrons decouple from the conduction electrons undergoing an orbitally selective Mott transition. This point turns out to be intimately related to the two impurity Kondo model quantum critical point. In this regime, non local correlations become important and result in significant changes in the photoemission spectra and the de Haas-van Alphen frequencies.The transition involves considerable f spectral weight transfer from the Fermi level to its immediate vicinity, rather than to the Hubbard bands as in single site DMFT.

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Section: We Compute the Staggered Magnetizationsupporting

confidence: 73%

“…At p-h symmetry this model is known to have a QCP separating a Kondo screened phase from a phase in which the impurities are decoupled from the conduction band 29,30 . Away from p-h symmetry the QCP is not accessible but still influences the physics in an intermediate energy range 31,32 .…”

Section: Methodsmentioning

confidence: 99%

Cellular dynamical mean-field theory of the periodic Anderson model

2008

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“…(ii) Local P-H asymmetry on the impurities generates potential scattering in at least one of the channels. Although we can modify these scattering terms to achieve δ e = δ o , which is sufficient to restore the Varma-Jones QCP [51,65], the scattering phases differ from π/2.…”

Section: Derivation Of the Effective Tunneling Termmentioning

confidence: 99%

“…We will demonstrate that the VJ QCP can be restored by changing the low energy scattering terms such that they generate identical scattering phases in the even and the odd channel, i. e. δ e = δ o . Zhu and Varma [65] pointed out that the scattering phase acquires an additional contribution ∆δ µ = tan −1 (πρ 0 K µ ) in the SC FP caused by a P-H asymmetry.…”

Section: Local P-h Asymmetry On the Impuritiesmentioning

confidence: 99%

Effective low-energy description of the two-impurity Anderson model: RKKY interaction and quantum criticality

2018

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We show that the RKKY interaction in the two-impurity Anderson model comprise two contributions: a ferromagnetic part stemming from the symmetrized hybridization functions and an anti-ferromagnetic part. We demonstrate that this anti-ferromagnetic contribution can also be generated by an effective local tunneling term between the two impurities. This tunneling can be analytically calculated for particle-hole symmetric impurities. Replacing the full hybridization functions by the symmetric part and this tunneling term leads to the identical low-temperature fixed point spectrum in the numerical renormalization group. Compensating this tunneling term is used to restore the Varma-Jones quantum critical point between a strong coupling phase and a local singlet phase even in the absence of particle-hole symmetry in the hybridization functions. We analytically investigate the spatial frequencies of the effective tunneling term based on the combination of the band dispersion and the shape of the Fermi surface. Numerical renormalization group calculations provide a comparison of the distance dependent tunneling term and the local spin-spin correlation function. Derivations between the spatial dependency of the full spin-spin correlation function and the textbook RKKY interaction are reported.

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“…II A). These scattering terms are different for the even and odd conduction-band channel [24,52] and, hence, generate a hopping term between the bound states in the real-space basis.…”

Section: Equilibriummentioning

confidence: 99%

Equilibrium and real-time properties of the spin correlation function in the two-impurity Kondo model

Lechtenberg¹,

Anders²

2018

Phys. Rev. B

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We investigate the equilibrium and real-time properties of the spin correlation function S1 S2 in the two-impurity Kondo model for different distances R between the two-impurity spins. It is shown that the competition between the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction and the Kondo effect governs the amplitude of S1 S2 . For distances R exceeding the Kondo length scale, the Kondo effect also has a profound effect on the sign of the correlation function. For ferromagnetic Heisenberg couplings J between the impurities and the conduction band, the Kondo effect is absent and the correlation function only decays for distances beyond a certain length scale introduced by finite temperature. The real-time dynamics after a sudden quench of the system reveals that correlations propagate through the conduction band with Fermi velocity. We identify two distinct timescales for the long time behavior which reflects that for small J the system is driven by the RKKY interaction while for large J the Kondo effect dominates. Interestingly, we find that at certain distances a one-dimensional dispersion obeying (k) = (−k) may lead to a local parity conservation of the impurities such that S1 S2 becomes a conserved quantity for long times and does not decay to its equilibrium value.

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Effect of iron purity on oxidation kinetics at 600 °C to 900 °C

Cited by 13 publications

References 9 publications

Cellular dynamical mean-field theory of the periodic Anderson model

Cellular dynamical mean-field theory of the periodic Anderson model

Effective low-energy description of the two-impurity Anderson model: RKKY interaction and quantum criticality

Equilibrium and real-time properties of the spin correlation function in the two-impurity Kondo model

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