Spin-split masses and a critical behavior of almost localized narrow-band and heavy-fermion systems

Spałek, J.

doi:10.1016/j.physb.2006.01.418

Cited by 12 publications

(6 citation statements)

References 26 publications

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“…1-3). Similar properties can be obtained within the periodic Anderson model in the strong correlation limit [57]. Analogical conclusions can be obtained also for orbitally degenerate systems [58].…”

Section: Hubbard Model: Weak To Moderate Correlationssupporting

confidence: 80%

Fifty years of Hubbard and Anderson lattice models: from magnetism to unconventional superconductivity - A brief overview

Spałek

2014

Philosophical Magazine

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We briefly overview the importance of Hubbard and Anderson-lattice models as applied to explanation of high-temperature and heavy-fermion superconductivity. Application of the models during the last two decades provided an explanation of the paired states in correlated fermion systems and thus extended essentially their earlier usage to the description of itinerant magnetism, fluctuating valence, and the metal-insulator transition. In second part, we also present some of the new results concerning the unconventional superconductivity and obtained very recently in our group. A comparison with experiment is also discussed, but the main emphasis is put on rationalization of the superconducting properties of those materials within the real-space pairing mechanism based on either kinetic exchange and/or Kondo-type interaction combined with the electron correlation effects.

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Section: Hubbard Model: Weak To Moderate Correlationssupporting

confidence: 80%

Fifty years of Hubbard and Anderson lattice models: from magnetism to unconventional superconductivity - A brief overview

Spałek

2014

Philosophical Magazine

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“…Generally, a strong spin dependence of the effective mass is expected in heavy fermion systems. 68,74 In other systems, where spin-splitting zeros have already been reported, such finite values of the amplitude had been reported. In Sr 2 RuO 4 it has been argued that the washed-out spin- Field angle θ (°) S1 S2 zeros are due to a different warping for the spin-up and down-parts of the cylindrical Fermi surfaces.…”

Section: Quantum Oscillationsmentioning

confidence: 59%

“…Generally, in heavy fermion systems the effective mass of the quasiparticles is expected to be spin dependent 68,69 and such a spin dependence has been experimentally observed. 70,71 72 In addition, also the effective g factor can be field dependent.…”

Section: Quantum Oscillationsmentioning

confidence: 99%

Fermi-surface selective determination of the g -factor anisotropy in URu2Si2

et al. 2019

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The g-factor anisotropy of the heavy quasiparticles in the hidden order state of URu2Si2 has been determined from the superconducting upper critical field and microscopically from Shubnikov-de Haas (SdH) oscillations. We present a detailed analysis of the g-factor for the α, β and γ Fermisurface pockets. Our results suggest a strong g-factor anisotropy between the c axis and the basal plane for all observed Fermi surface pockets. The observed anisotropy of the g-factor from the quantum oscillations is in good agreement with the anisotropy of the superconducting upper critical field at low temperatures, which is strongly limited by the paramagnetic pair breaking along the easy magnetization axis c. However, the anisotropy of the initial slope of the upper critical field near Tc cannot be explained by the anisotropy of the effective masses and Fermi velocities derived from quantum oscillations.

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“…Finally, one can extend our analysis to nonzero temperatures in a straightforward manner, starting from the free-energy functional (9). This should be carried out separately and the results can be compared with GA results providing the first-order line ending in a classical critical point, as well as the reentrant metallic behavior [19,20,27].…”

Section: Discussionmentioning

confidence: 99%

“…We observe the two important features. First, the quasiparticle mass is spin-independent in this halffilled band case, unlike in the non-half-filled case [19,20]. Also, the mass enhancement due to the correlations increases in SGA relatively slowly compared to that in the parametrized GA approach [21] as R → R c − 0.…”

Section: R(amentioning

confidence: 99%

Extended Hubbard model with renormalized Wannier wave functions in the correlated state III: Statistically consistent Gutzwiller approximation and the metallization of atomic solid hydrogen

Kądzielawa,

Spałek,

Kurzyk

et al. 2013

Preprint

Self Cite

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to modeling correlated electronic states and the metal-insulator transition by applying the so-called statistically consistent Gutzwiller approximation (SGA) to carry out self-consistent calculations of the renormalized single-particle Wannier functions in the correlated state. The transition to the Mott-Hubbard insulating state at temperature T = 0 is of weak first order even if antiferromagnetism is disregarded. The magnitude of the introduced self-consistent magnetic correlation field is calculated and shown to lead to a small magnetic moment in the magnetically uniform state. Realistic value of the applied magnetic field has a minor influence on the metallic-state characteristics near the Mott-Hubbard lcalization threshold. The whole analysis has been carried out for an extended Hubbard model on a simple cubic (SC) lattice and the evolution of physical properties is analyzed as a function of the lattice parameter for the renormalized 1s-type Wannier functions. Quantum critical scaling of the selected physical properties is analyzed as a function of the lattice constant R → Rc = 4.1a0, where Rc is the critical value for metal-insulator transition and a0 = 0.53Å is the Bohr radius. A critical pressure for metallization of solid atomic hydrogen is estimated and is ∼ 10 2 GP a.

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Spin-split masses and a critical behavior of almost localized narrow-band and heavy-fermion systems

Cited by 12 publications

References 26 publications

Fifty years of Hubbard and Anderson lattice models: from magnetism to unconventional superconductivity - A brief overview

Fifty years of Hubbard and Anderson lattice models: from magnetism to unconventional superconductivity - A brief overview

Fermi-surface selective determination of the g -factor anisotropy in URu2Si2

Extended Hubbard model with renormalized Wannier wave functions in the correlated state III: Statistically consistent Gutzwiller approximation and the metallization of atomic solid hydrogen

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