Magnetic susceptibility of the Hubbard model in the strong-correlation limit

Zhao, Bao-Hua; Nie, Hui-Quan; Zhang, Kaiyi; Chao, K. A.; Micnas, R.

doi:10.1103/physrevb.36.2321

Cited by 22 publications

(12 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Most calculations for a number of lattices yield the value of δ c which is close to 0.3. In particular, the Gutzwiller method (Fazekas et al, 1990), t/U expansion (Zhao et al, 1987), density matrix renormalization group approach and Quantum Monte-Carlo (QMC) method (Liang and Pang, 1995)…”

Section: A Electron Spectrum and Strong Itinerant Ferromagnetism In T...mentioning

confidence: 99%

Half-metallic ferromagnets: From band structure to many-body effects

et al. 2008

View full text Add to dashboard Cite

A review of new developments in theoretical and experimental electronic structure investigations of half-metallic ferromagnets (HMF) is presented. Being semiconductors for one spin projection and metals for another ones, these substances are promising magnetic materials for applications in spintronics (i.e., spin-dependent electronics). Classification of HMF by the peculiarities of their electronic structure and chemical bonding is discussed. Effects of electron-magnon interaction in HMF and their manifestations in magnetic, spectral, thermodynamic, and transport properties are considered. Especial attention is paid to appearance of non-quasiparticle states in the energy gap, which provide an instructive example of essentially many-body features in the electronic structure. State-of-art electronic calculations for correlated $d$-systems is discussed, and results for specific HMF (Heusler alloys, zinc-blende structure compounds, CrO$_{2},$ Fe$_{3}$O$_{4}$) are reviewed.Comment: to be published in Reviews of Modern Physics, vol 80, issue

show abstract

Section: A Electron Spectrum and Strong Itinerant Ferromagnetism In T...mentioning

confidence: 99%

Half-metallic ferromagnets: From band structure to many-body effects

et al. 2008

View full text Add to dashboard Cite

show abstract

“…Next, the region of stability of the saturated ferromagnetic was investigated within various approximations in numerous works (see, e.g., Refs. [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Density-of-states picture and stability of ferromagnetism in the highly correlated Hubbard model

Irkhin

Zarubin

2004

Phys. Rev. B

View full text Add to dashboard Cite

The problem of stability of saturated and nonsaturated ferromagnetism in the Hubbard model is considered in terms of the one-particle Green's functions. Approximations by Edwards and Hertz and some versions of the self-consistent approximations based on the 1 / z expansion are considered. The account of longitudinal fluctuations turns out to be essential for description of the nonsaturated state. The corresponding pictures of density of states are obtained. "Kondo" density-of-states singularities owing to spin-flip processes are analyzed. The critical electron concentrations for instabilities of saturated ferromagnetism and paramagnetic state are calculated for various lattices. Drawbacks of various approximations are discussed. A comparison with the results of previous works is performed.

show abstract

“…Imposing the constraints (2.4) by using Eq. (2.7), we easily obtain 21) whereN is the total number of particles and β = 1/T is the inverse temperature.…”

Section: Tracementioning

confidence: 99%

“…On the other hand, the perturbation expansion around the atomic limit, [16][17][18][19][20][21][22][23][24] which is expected to provide a reliable starting point in the strong correlation limit, also presents its own difficulties in spite of recent progress. 25,26 It is not completely clear how to handle the degeneracy of the ground-state in the atomic limit.…”

Section: Introductionmentioning

confidence: 99%

A new approach to strongly correlated fermion systems: the spin–particle–hole coherent-state path integral

Dupuis

2001

Nuclear Physics B

View full text Add to dashboard Cite

We describe a new path integral approach to strongly correlated fermion systems, considering the Hubbard model as a specific example. Our approach is based on the introduction of spinparticle-hole coherent states which generalize the spin-1 2 coherent states by allowing the creation of a hole or an additional particle. The action of the fermion system S[γ * , γ; Ω] can be expressed as a function of two Grassmann variables (γ ↑ ,γ ↓ ) describing particles propagating in the lower and upper Hubbard bands, and a unit vector field Ω whose dynamics arises from spin fluctuations. In the strong correlation limit, S[γ * , γ; Ω] can be truncated to quartic order in the fermionic fields and used as the starting point of a strong-coupling diagrammatic expansion in t/U (t being the intersite hopping amplitude and U the on-site Coulomb repulsion). We discuss possible applications of this formalism and its connection to the t-J model and the spin-fermion model.

show abstract

Magnetic susceptibility of the Hubbard model in the strong-correlation limit

Cited by 22 publications

References 8 publications

Half-metallic ferromagnets: From band structure to many-body effects

Half-metallic ferromagnets: From band structure to many-body effects

Density-of-states picture and stability of ferromagnetism in the highly correlated Hubbard model

A new approach to strongly correlated fermion systems: the spin–particle–hole coherent-state path integral

Contact Info

Product

Resources

About