A spin-

Honecker, A.; Kaulke, M.; Schotte, K. D.

doi:10.1007/s100510051143

Cited by 39 publications

(67 citation statements)

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“…Other situations can be analyzed as well, but may lead to somewhat different physics (compare e.g. [24] for the example of N = 3 antiferromagnetically coupled ferromagnetic chains). This paper is organized as follows: In section II we first review some aspects of the formulation of a single XXZ-chain as a bosonic c = 1 conformal field theory.…”

Section: Introductionmentioning

confidence: 99%

Magnetization plateaux inN-leg spin ladders

1998

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In this paper we continue and extend a systematic study of plateaux in magnetization curves of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical formulation of a single XXZ-chain in the presence of a magnetic field, which is then used for an Abelian bosonization analysis of N weakly coupled chains. Predictions for the universality classes of the phase transitions at the plateaux boundaries are obtained in addition to a quantization condition for the value of the magnetization on a plateau. These results are complemented by and checked against strong-coupling expansions. Finally, we analyze the strongcoupling effective Hamiltonian for an odd number N of cylindrically coupled chains numerically. For N = 3 we explicitly observe a spin-gap with a massive spinon-type fundamental excitation and obtain indications that this gap probably survives the limit N → ∞.

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Section: Introductionmentioning

confidence: 99%

Magnetization plateaux inN-leg spin ladders

1998

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“…In addition some theoretical and/or numerical analyses predicted that a magnetization plateau appears in various other systems; the polymerized chains [13][14][15][16][17][18][19][20][21][22][23], the S = 3/2 chain [24][25][26][27], the frustrated spin ladder [28][29][30][31][32], several generalized spin ladders [33][34][35][36][37][38], distorted diamond type spin chain [39][40][41] and some layered sytems [42,43]. Using the Lieb-Schultz-Mattis theorem [44], a general necessary condition for the presence of the plateau was derived [24] as…”

Section: Introductionmentioning

confidence: 99%

Quantum magnetization plateaux of an anisotropic ferrimagnetic spin chain

Sakai¹,

Okamoto

2002

Phys. Rev. B

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The magnetization curve of the (S, s) = (1, 1/2) ferrimagnetic alternating spin chain with the single-ion anisotropy D is investigated with the numerical exact diagonalization of finite clusters and size-scaling analyses. The system has a plateau at 1/3 of the saturation moment, which corresponds to the spontaneous magnetization for D = 0. Varying D in the 1/3-magnetized ground state under the external field along the axis of D, a quantum phase transition is revealed to occur at the critical value D/J = 1.114 ± 0.001 where the plateau vanishes. Except for the critical point, the plateau is always opening, but the mechanism is different between D < Dc and D > Dc. The change of mechanisms is an evidence to clarify that the plateau originates from the quantization of magnetization.

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“…The L and E bands reflect the fact that the Hamiltonian can be approximated by an interaction between the two sublattice spin vectors. The L band then corresponds to maximal sublattice spins, while the E band appears with one sublattice spin decreased by one [7,8]. For the states of the L band the shift quantum number q [9] toggles between q 0 and q N=2 as function of S; the E band embraces the lowest states with q Þ 0, N=2.…”

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confidence: 99%

Elementary Excitations in the Cyclic Molecular NanomagnetCr8

et al. 2003

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Combining recent and new inelastic neutron scattering data for the molecular cyclic cluster Cr8 produces a deep understanding of the low lying excitations in bipartite antiferromagnetic Heisenberg rings. The existence of the L band, the lowest rotational band, and the E band, essentially spin wave excitations, is confirmed spectroscopically. The different significance of these excitations and their physical nature is clearly established by high-energy and Q-dependence data.

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A spin-

Cited by 39 publications

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Magnetization plateaux inN-leg spin ladders

Magnetization plateaux inN-leg spin ladders

Quantum magnetization plateaux of an anisotropic ferrimagnetic spin chain

Elementary Excitations in the Cyclic Molecular NanomagnetCr8

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