Paramagnetic labeling as a method for the soft spectroscopy of electronic states

Kiselev, M. N.; Mishchenko, A. S.

doi:10.1134/1.558547

J. Exp. Theor. Phys.

1998

DOI: 10.1134/1.558547

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Paramagnetic labeling as a method for the soft spectroscopy of electronic states

M. N. Kiselev

A. S. Mishchenko

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Cited by 3 publications

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“…The energy dependence of the quasielastic scattering at the SL can not be used as a decisive argument in favor of RVB model applicability for HF systems because there are lot of models which give the same result (e.g. [12,13]). However, much more bright consequence of the RVB model, which can serve as decisive test, is the dependence of the scattering function on the momentum transfer.…”

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Quasielastic magnetic scattering of neutrons by heavy-fermion systems

Mishchenko

1998

Jetp Lett.

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The theory of the quasielastic magnetic scattering of neutrons at the spin liquid with RVB (resonance valence bonds) correlations is presented. Calculations demonstrate that the dependence of the scattering cross section on the energy transfer reproduces experimental shape of quasielastic peak in heavy fermion systems. It is shown that Fermi statistics of the spin liquid elementary excitations leads to the oscillations of the quasielastic scattering total cross section as a function of the momentum transfer.Accepted to JETP Lett., Vol. 681. Since it was suggested [1-3] to treat the state with heavy fermions (HF) as the spin liquid (SL) with RVB type of spin-spin correlations the validity of RVB conception is still the subject of considerable discussions. Although conception of RVB type SL appeared to be fruitful for quantitative description of the thermodynamic [4] and low energy spectral [5] properties of HF systems there is no unambiguous proof of existence of RVB correlations. The basic stumbling-block on the way to the SL identification is the lack of decisive experiment which can give possibility to accept or reject RVB conception.According to the RVB scenario the system of localized spins transforms at temperatures close to Kondo temperature T K into the half filled band of magnetic excitations with the bandwidth T * ∼ T K [3,6,7]. The basic fingerprint of the RVB correlations, which distinguishes SL state from the system of localized spins, is the Fermi statistics of the elementary excitations. Therefore, the study of consequences of the different statistical distributions which characterize SL and localized spin regime is a proper way to reveal some properties which are peculiar only to the highly correlated RVB state.In the present paper I suggest the theory of the quasielastic magnetic scattering of neutrons at the RVB type SL and show that change of the Boltzmann statistics of localized spins to the Fermi statistics of the SL excitations results in the oscillatory behavior of the total quasielastic cross section as a function of momentum transfer.2. The basic model describing the HF state is the Anderson lattice Hamiltonian of the f-ions which are hybridized with the conduction electrons. The CoqblinSchrieffer canonical transformation [8,9] eliminates the hybridization term and the lowest crystal field doublet σ = ± can be treated in terms of exchange interaction I σσ ′ mm ′ between the spin states of different sites m = l, ξ (l is the number of the elementary cell, ξ is the basis vector)Here f † mσ (f mσ ) are creation (annihilation) Fermi operators of the spin state σ at the site m which are subject to the constraint condition σ f † mσ f mσ = 1. In the mean field approximation the RVB state at low temperatures is characterized by nonzero intersite averages f † mσ f m ′ σ and effective Hamiltonian of the SL low temperature states takes the form

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Quasielastic magnetic scattering of neutrons by heavy-fermion systems

Mishchenko

1998

Jetp Lett.

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Neutron spectroscopy and strongly correlated electrons: a view from the inside

Alekseev¹

2017

Phys.-Usp.

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Neutron spectroscopy results concerning the characteristic features of electronic states in strongly correlated electron systems are reviewed. It is shown that the effects of crystal electric field, exchange interaction, and local-itinerant electron hybridization, separately or in combination, manifest themselves in the spectral features of magnetic neutron scattering. The review discusses information that can be obtained from these spectra to be used to investigate the nature of heavy-fermion, intermediate-valence, and a number of other nontrivial types of ground states occurring in this class of systems. Problems interpreting experimental results are pointed out, suggesting the need for the development of the existing models.

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Neutron spectroscopy and strongly correlated electrons: a view from the inside

Alekseev¹

2017

Usp. Fiz. Nauk

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Paramagnetic labeling as a method for the soft spectroscopy of electronic states

Cited by 3 publications

References 25 publications

Quasielastic magnetic scattering of neutrons by heavy-fermion systems

Quasielastic magnetic scattering of neutrons by heavy-fermion systems

Neutron spectroscopy and strongly correlated electrons: a view from the inside

Neutron spectroscopy and strongly correlated electrons: a view from the inside

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