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The "Higgs" Amplitude Mode in Weak Ferromagnetic Metals

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EN
Using ferromagnetic Fermi liquid theory, Bedell and Blagoev derived the collective low-energy excitations of a weak ferromagnet. They obtained the well-known magnon (Nambu-Goldstone) mode and found a new gapped mode that was never studied in weak ferromagnetic metals. In this article we have identified this mode as the Higgs boson (amplitude mode) of a ferromagnetic metal. This is identified as the Higgs since it can be shown that it corresponds to a fluctuation of the amplitude of the order parameter. We use this model to describe the itinerant-electron ferromagnetic material MnSi. By fitting the model with the existing experimental results, we calculate the dynamical structure function and see well-defined peaks contributed from the magnon and the Higgs. Our estimates of the relative intensity of the Higgs amplitude mode suggest that it can be seen in neutron scattering experiments on MnSi.
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EN
The static fluctuation approximation is applied for the first time to an electronic system. A simple model (a uniform electron fluid) is chosen to explore the applicability of static fluctuation approximation to electrons in metals. The thermodynamic properties - the internal energy per particle, the pressure, the entropy per unit volume, the heat capacity per unit volume, and the chemical potential - are calculated over a wide range of densities within the metallic-density region. Finally, the pair-correlation function for the electron fluid is evaluated. Values of this function are then tabulated for zero-interparticle separation at several densities of interest. The results of this work are found to be in good agreement with several other many-body calculations.
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Determining the Fermi Surface from Arpes Integrals

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Acta Physica Polonica A
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2000
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vol. 97
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issue 1
201-204
EN
ARPES integrals are related to the momentum distribution n_{k}. In case of a metal, points k_{F} on the Fermi surface were identified by: (i) a change of sign in the temperature variation of the ARPES integrals or (ii) maximum slope in its angular variation. These criteria are based on the assumption of particle-hole symmetry in the vicinity of the Fermi edge. Here, we check (i) and (ii) on the level of the momentum distribution, for an electronic structure with most of its incoherent weight below the Fermi edge. Evaluating n_{k}(T) up to T ≈ Δ*, a Fermi liquid coherence energy, we find: criterion (i) remains stable, while (ii) deviates from k_{F} ∝ m*T/k_{F}. Published data on the hole doped t-J model are examined in this light.
EN
Prior theories of metal-insulator transitions by Spałek et al. were extended to include quartic terms in the temperature and by introducing two different density of state functions. The effects of these extensions on low-temperature metal-insulator transitions and on reentrant metallic behavior in solids have been investigated.
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