The properties of one-dimensional spin-S (S⩾1) antiferromagnetic Ising chain with single-ion anisotropy

Chen, X.Y.; Jiang, Qing; Shen, Wen Zhong; Zhong, Chonggui

doi:10.1016/s0304-8853(02)01499-3

Cited by 35 publications

(16 citation statements)

References 23 publications

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“…For the 1D spin system with the translational symmetry of the ground state, Oshikawa et al have derived a necessary condition pðSÀmÞ ¼ integer for the occurrence of plateaus by employing a generalization of the Lieb-SchultzMattis theorem [15], where p is the spatial periodicity of the magnetic ground state, S is the magnitude of spin and m is the magnetization per site. Moreover, 2S þ1 magnetization plateaus have also been found in many theoretical studies, when the magnetic field increases from zero to its saturation values h s [16][17][18].…”

Section: Introductionsupporting

confidence: 55%

“…Thus the width of the intermediate plateaus is h s =J 1 Àh c =J 1 ¼ J 2 =J 1 S imp ÀS, increasing with the increase of quantum spin number of the impurity. For a homogeneous system with spin S, it has been verified that positive anisotropy is a necessary condition for the appearance of the 2S þ 1 plateaus [16]. Furthermore, magnetic anisotropy closely related with the spin-orbit coupling effects usually presents in realistic materials.…”

Section: Numerical Results and Discussionmentioning

confidence: 97%

“…Meanwhile, some quasi-classical spin models using Ising spin instead of the Heisenberg operators also lead to the analogous pictures of magnetization plateaus. Particularly, those can be rigorously solved by analytical methods, such as the bound-alternating chains, decorated Ising chain and other quasi 1D models, which employ the transfer-matrix method, presenting us rich magnetization images for arbitrary finite temperature and arbitrary values of exchange coupling, the single-ion anisotropy and external magnetic field [6,7,16,22], as well as demonstrating the simplicity of transfer-matrix technique in dealing with the 1D classical models compared with those quantum means-bosonization technique, density matrix renormalization group method, field theory, etc.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetization plateaus in a doping finite Ising chain

2013

Journal of Magnetism and Magnetic Materials

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Section: Introductionsupporting

confidence: 55%

Section: Numerical Results and Discussionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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Magnetization plateaus in a doping finite Ising chain

2013

Journal of Magnetism and Magnetic Materials

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“…Anghel's rules (5) are determinate when species are merged but some are indeterminate -even with amendments ( 16) -without implied assumptions or additional input when species are split [9][10][11].…”

Section: A Rulesmentioning

confidence: 99%

Generalized Pauli principle for particles with distinguishable traits

et al. 2012

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The s = 3 2Ising spin chain with uniform nearest-neighbor coupling, quadratic single-site potential, and magnetic field is shown to be equivalent to a system of 17 species of particles with internal structure. The same set of particles (with different energies) is shown to generate the spectrum of the s = 1 2Ising chain with dimerized nearest-neighbor coupling. The particles are free of interaction energies even at high densities. The mutual exclusion statistics of particles from all species is determined by their internal structure and encoded in a generalized Pauli principle. The exact statistical mechanical analysis can be performed for thermodynamically open or closed systems and with arbitrary energies assigned to all particle species. Special circumstances make it possible to merge two or more species into a single species. All traits that distinguish the original species become ignorable. The particles from the merged species are effectively indistinguishable and obey modified exclusion statistics. Different mergers may yield the same end product, implying that the inverse process (splitting any species into subspecies) is not unique. In a macroscopic system of two merged species at thermal equilibrium, the concentrations of the original species satisfy a functional relation governed by their mutual statistical interaction. That relation is derivable from an extremum principle. In the Ising context the system is open and the particle energies depend on the Hamiltonian parameters. Simple models of polymerization and solitonic paramagnetism each represent a closed system of two species that can transform into each other. Here they represent distinguishable traits with different energies of the same physical particle.

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“…However, recently pure and mixed spin Ising systems in one dimension show the magnetic plateaus [15][16][17], i.e. quantization of the magnetization at the very low temperature or ground state of the system due to magnetic excitations, leading to the qualitatively same structures of the magnetization profiles of the Heisenberg and other systems.…”

mentioning

confidence: 99%

The low temperature magnetic properties of the ferrimagnetic mixed spin Ising systems in the magnetic field

Ekiz

2007

Physics Letters A

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The properties of one-dimensional spin-S (S⩾1) antiferromagnetic Ising chain with single-ion anisotropy

Cited by 35 publications

References 23 publications

Magnetization plateaus in a doping finite Ising chain

Magnetization plateaus in a doping finite Ising chain

Generalized Pauli principle for particles with distinguishable traits

The low temperature magnetic properties of the ferrimagnetic mixed spin Ising systems in the magnetic field

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