Collective Excitations and Magnetic Ordering in Materials with Singlet Crystal-Field Ground State

Wang, Yung‐Li; Cooper, Bernard R.

doi:10.1103/physrev.172.539

Cited by 252 publications

(78 citation statements)

References 23 publications

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“…(34) for the linear chain transverse Ising model which predicted a value for the phase transition point of λ c = 1.206. a from Ref. [47] b from Ref. [29] c from Refs.…”

Section: Resultsmentioning

confidence: 99%

“…We work in the thermodynamic limit where N → ∞. We note that this model has an exact solution in one dimension [46]; and approximate techniques, such as the random phase approximation (RPA) [47] and exact cumulant series expansions [48,49], have also been applied to it for lattices of higher spatial dimensionality. For λ ≥ 0, we note furthermore that the model contains two distinct phases, with a critical coupling strength λ c depending on lattice type and dimensionality.…”

Section: Introductionmentioning

confidence: 99%

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AB INITIO TREATMENTS OF THE ISING MODEL IN A TRANSVERSE FIELD

Bishop

Farnell

Ristig

2000

Int. J. Mod. Phys. B

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In this article, new results are presented for the zero-temperature ground-state properties of the spin-half transverse Ising model on various lattices using three different approximate techniques.These are, respectively, the coupled cluster method, the correlated basis function method, and the variational quantum Monte Carlo method. The methods, at different levels of approximation, are used to study the ground-state properties of these systems, and the results are found to be in excellent agreement both with each other and with results of exact calculations for the linear chain and results of exact cumulant series expansions for lattices of higher spatial dimension.The different techniques used are compared and contrasted in the light of these results, and the constructions of the approximate ground-state wave functions are especially discussed.

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“…(34) for the linear chain transverse Ising model which predicted a value for the phase transition point of λ c = 1.206. a from Ref. [47] b from Ref. [29] c from Refs.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

AB INITIO TREATMENTS OF THE ISING MODEL IN A TRANSVERSE FIELD

Bishop

Farnell

Ristig

2000

Int. J. Mod. Phys. B

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“…Such a jump is three orders of magnitude smaller than the experimentally measured jump at the 17.5 K transition. 3 Corrections to the molecular-field approximation 44,45 do not significantly modify the jump ∆C. Consequently, it has been concluded that spontaneous ordering of local moments on uranium sites cannot explain the phenomenology of the antiferromagnetic transition in URu 2 Si 2 .…”

Section: 45mentioning

confidence: 98%

Interplay between spin-density wave and induced local moments inURu2Si2

Минеев

Zhitomirsky

2005

Phys. Rev. B

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Theoretical model for magnetic ordering in the heavy-fermion metal URu2Si2 is suggested. The 17.5 K transition in this material is ascribed to formation of a spin-density wave, which develops due to a partial nesting between electron and hole parts of the Fermi surface and has a negligibly small form-factor. Staggered field in the SDW state induces tiny antiferromagnetic order in the subsystem of localized singlet-singlet levels. Unlike the other models our scenario is based on coexistence of two orderings with the same antiferromagnetic dipole symmetry. The topology of the pressure phase diagram for such a two order parameter model is studied in the framework of the Landau theory. The field dependences of the staggered magnetization and the magnon gap are derived from the microscopic theory and found to be in good quantitative agreement with experiment.

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“…The Ising model in a transverse field allows several applications in solid state physics. Thus a magnetic system with a singlet crystal field ground state discussed by Wang & Cooper (1968) is described by Eq. (1), where Ω plays the role of the crystal field.…”

Section: Introductionmentioning

confidence: 99%