Low-temperature properties of an almost-localized Fermi liquid

Spa⌈ek, J.; Kokowski, Michał; Honig, J.M.

doi:10.1103/physrevb.39.4175

Cited by 30 publications

(15 citation statements)

References 25 publications

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“…This quantity is given by where it is established below that x(T) = xo (T*)/Φ(η). On putting these results together one finds that [19]: Equation (19) which is a generalization of Eq. (8) looks deceptively simple.…”

Section: A T a R E P O R T E D B Y T H E P U R D U E G R O U P ; A mentioning

confidence: 99%

“…(19) and the resulting full functional is subjected to the constraint OF/Oη = O. One then obtains for small m the following expression for the optimized double occupancy and for the corresponding band narrowing factor One should note that ηoft and ΦO o p td e p e n d o n m 2 a n d t h a t t h e s e q u a n t i t i e s a p p e a r in every term of Eq.…”

Section: In Which μ * H = μ H ( T * H * ) = μ ( T * ) + δ µ ( T *mentioning

confidence: 99%

“…We must now minimize the full functional, Eq. (19), with respect to ii, in the limit of small in. The procedure is similar to that discussed in conjunction with Eqs.…”

Section: Ii) the Fermi-dirac Distributions Function Becomes Wherein Hmentioning

confidence: 99%

“…One then obtains for small m the following expression for the optimized double occupancy and for the corresponding band narrowing factor One should note that ηoft and ΦO o p td e p e n d o n m 2 a n d t h a t t h e s e q u a n t i t i e s a p p e a r in every term of Eq. (19). For this reason the susceptibility must be determined by use of Eq.…”

Section: In Which μ * H = μ H ( T * H * ) = μ ( T * ) + δ µ ( T *mentioning

confidence: 99%

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Electron Correlation Phenomena in Selected Transition Metal Oxides

Honig

1994

Acta Phys. Pol. A

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The theory of electron correlation phenomena is reviewed and used to interpret the transport, thermal, or magnetic properties of V203, LaNiO3 and Fe304 systems, each of which to a greater or lesser degree displays correlation effects. A rationale is provided for interpreting the various types of phase transitions encountered in the vanadium sesquioxide and magnetite host systems and to show why these are altered by small compositional variations.

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Section: A T a R E P O R T E D B Y T H E P U R D U E G R O U P ; A mentioning

confidence: 99%

Section: In Which μ * H = μ H ( T * H * ) = μ ( T * ) + δ µ ( T *mentioning

confidence: 99%

“…We must now minimize the full functional, Eq. (19), with respect to ii, in the limit of small in. The procedure is similar to that discussed in conjunction with Eqs.…”

Section: Ii) the Fermi-dirac Distributions Function Becomes Wherein Hmentioning

confidence: 99%

Section: In Which μ * H = μ H ( T * H * ) = μ ( T * ) + δ µ ( T *mentioning

confidence: 99%

See 2 more Smart Citations

Electron Correlation Phenomena in Selected Transition Metal Oxides

Honig

1994

Acta Phys. Pol. A

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“…The basic ideas outlined above are very simple and lead to a semiquantitative understanding of the observations. However, a full exploration of all consequences [19] becomes rather complicated, and has therefore not been taken up here. Lastly, under appropriate conditions the electron assemblies in these systems can be made to exhibit critical phenomena, both of the classical type for fluids and of effects driven by quantum fluctuations.…”

Section: +mentioning

confidence: 99%

Manifestation of Electron Correlations in the V₂O₃and NiS₂Systems

Honig

2007

Acta Phys. Pol. A

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The experimental manifestation of electron correlation effects in the V 2 O 3 and NiS 2 systems are reviewed, and recent elementary theories for interpreting the many different types of metal-insulator transitions based on these theories are provided. Research on the critical phenomena displayed by the interacting electrons in these systems is also reviewed.PACS numbers: 71.30.+h, 71.28.+d, 72.80.Ga Introductory commentsAmong his many scientific achievements Józef Spa lek has contributed greatly to our understanding of the experimental manifestations of electron correlation effects in solids. This has been very useful in the proper characterization of a several different metal-insulator transitions that were very puzzling at the time they were being investigated in our laboratory. It therefore seemed appropriate to selectively highlight in this article some of the key experiments, as well as their theoretical interpretation by Spa lek and collaborators.One of the hallmarks of Spa lek's work is the basic simplicity of the fundamental concepts, although the mathematical elaboration of the fine details inevitably becomes rather cumbersome. In the present, rather personalized, article we emphasize the elementary steps needed for a rationalization of selected data. The reader is urged to consult the references cited below as well as several review articles [1] for a much more balanced and complete exposition of the subject matter. Experimental dataWe begin with a brief review of experimental resistivity measurements on systems that manifest a variety of metal-insulator transitions: V 2 O 3 , Cr-and Ti-doped V 2 O 3 , nonstoichiometric V 2 O 3 , and the NiS 2 −NiSe 2 system. Work on the vanadium sesquioxide system was initiated by Foëx [2] who was the first to report a discontinuous change in electrical properties in V 2 O 3 . A highly cited set (437)

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Magnetic properties of almost localized fermions revisited: spin dependent masses and quantum critical behavior

Spałek¹

2006

Physica Status Solidi (b)

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The magnetic properties of almost localized (heavy) quasiparticles have been a subject of renewed interest in recent years. This is caused by the discovery of spin dependent masses predicted by us some time ago, as well as quantum critical behavior at the metal -insulator boundary. We discuss those phenomena, as well as metamagnetic behavior. These phenomena are discussed by regarding Gutzwiller approach (in the slave-boson version) as the mean-field approach to the correlated electron systems.

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Low-temperature properties of an almost-localized Fermi liquid

Cited by 30 publications

References 25 publications

Electron Correlation Phenomena in Selected Transition Metal Oxides

Electron Correlation Phenomena in Selected Transition Metal Oxides

Manifestation of Electron Correlations in the V₂O₃and NiS₂Systems

Magnetic properties of almost localized fermions revisited: spin dependent masses and quantum critical behavior

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Low-temperature properties of an almost-localized Fermi liquid

Cited by 30 publications

References 25 publications

Electron Correlation Phenomena in Selected Transition Metal Oxides

Electron Correlation Phenomena in Selected Transition Metal Oxides

Manifestation of Electron Correlations in the V2O3and NiS2Systems

Magnetic properties of almost localized fermions revisited: spin dependent masses and quantum critical behavior

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Product

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Manifestation of Electron Correlations in the V₂O₃and NiS₂Systems