A Cluster-Bethe-Lattice approach to spin-waves in dilute ferromagnets

Salzberg, J.B.; Falicov, L. M.; Silva, C.E.T. Gonçalves da

doi:10.1016/0038-1098(76)91244-8

Cited by 15 publications

(3 citation statements)

References 12 publications

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“…In dynamical mean field theory [11], the BL density of states with infinite connectivity is used as an initial guess for the density of states in higher dimensions. BLs are models for strongly correlated systems [12], alloys [13] and disordered systems [14]. The present study addresses antiferromagnetic (AF) Heisenberg exchange J > 0 in the BL with b = Z = 3…”

Section: Introductionmentioning

confidence: 99%

Density matrix renormalization group algorithm for Bethe lattices of spin-12or spin-1 sites with Heisenberg antiferromagnetic exchange

2012

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An efficient density matrix renormalization group (DMRG) algorithm is presented for the Bethe lattice with connectivity Z = 3 and antiferromagnetic exchange between nearest neighbor spins s = 1/2 or 1 sites in successive generations g. The algorithm is accurate for s = 1 sites. The ground states are magnetic with spin S(g) = 2 g s, staggered magnetization that persists for large g > 20 and short-range spin correlation functions that decrease exponentially. A finite energy gap to S > S(g) leads to a magnetization plateau in the extended lattice. Closely similar DMRG results for s = 1/2 and 1 are interpreted in terms of an analytical three-site model.

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Section: Introductionmentioning

confidence: 99%

Density matrix renormalization group algorithm for Bethe lattices of spin-12or spin-1 sites with Heisenberg antiferromagnetic exchange

2012

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“…Indeed, for d → ∞ the percolation threshold n c → 1 d that does not coincide with the Bethe expression n B c = 1 2d−1 which is an asymptotic of the percolation threshold at large d. Nevertheless as we can see from the Table I the results for the percolation threshold obtained from (3.19) are better for d = 2 and d = 3 than the ones obtained within the Bethe-lattice approach. One can find some results of the latter approach for the theory of dilute ferromagnets in [10,11,12].…”

Section: Low Concentration Of Nonmagnetic Impuritiesmentioning

confidence: 99%

Magnetic Properties of Dilute Alloys: Equations for Magnetization and Its Structural Fluctuations

Vakarchuk

Tkachuk

Kuliy

1998

phys. stat. sol. (b)

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The dilute Heisenberg ferromagnet is studied taking into account fluctuations of magnetization caused by disorder. A self-consistent system of equations for magnetization and its mean quadratic fluctuations are derived within the configurationally averaged two-time temperature Green's function method. This system of equations is analyzed at low concentration of nonmagnetic impurities. Mean relative quadratic fluctuations of magnetization are revealed to be proportional to the square of concentration of impurities.

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“…The cluster-Bethe lattice (CBL) method, in a one-particle Green's function formalism, has been used in the study.of several properties of solids, such as electronic density of states in crystalline and amorphous solids [l, 21 and in alloys [3,4], spin-wave spectra in dilute ferromagnets [5], and point defects in crystalline solids [6, '71. It consists in dividing the system under consideration in two parts: a cluster, where one tries to represent the relevant features as realistically as possible, and the rest of the solid, which is simulated by the topological structure called "Bethe lattice" (BL).…”

Section: Introductionmentioning

confidence: 99%

A Cluster‐Bethe Lattice Treatment for the F‐Center in Alkali Halides

Queiroz

Koiller

Maffeo

et al. 1978

Physica Status Solidi (b)

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The electronic structure of the F-center in alkali halides with the NaCl structul'e is studied using the cluster-Bethe lattice method. The central cluster is taken as constituted by the vacancy and the nearest and second neighbours to it, respectively cations and anions. The optical transitions are calculated and compared to experimental data on the location of the peak of the F-absorption band. The agreement obtained indicates that this method may be used to study properties of this defect in alkali halides.La structure blectronique du centre F dans des halogenures d'alcalins du type NaCl a btk btudibe en utilisant la mbthode "Cluster Bethe Lattice". Le complexe central est constitub par la lacune et ses premiers et seconds voisins, cations et anions, respectivement. Les transitions optiques ont 6th calculbes et les rbsultats comparbs avec ceux de I'expbrience concernant le maximum de la bande d'absorption. L'accord obtenu indique que cette mbthode peut &re utilide dans I'btude des propribtbs de ce dbfaut dans les halogenures d'alcalins.

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A Cluster-Bethe-Lattice approach to spin-waves in dilute ferromagnets

Cited by 15 publications

References 12 publications

Density matrix renormalization group algorithm for Bethe lattices of spin-12or spin-1 sites with Heisenberg antiferromagnetic exchange

Density matrix renormalization group algorithm for Bethe lattices of spin-12or spin-1 sites with Heisenberg antiferromagnetic exchange

Magnetic Properties of Dilute Alloys: Equations for Magnetization and Its Structural Fluctuations

A Cluster‐Bethe Lattice Treatment for the F‐Center in Alkali Halides

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