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arXiv:1105.3527 · Physical Review B

Combined analytical and numerical approach to study magnetization plateaux in doped quasi-one-dimensional antiferromagnets

Carlos Alberto Lamas, Sylvain Capponi, Pierre Pujol

Published Sep 21, 2011• 15 citations
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Abstract

We investigate the magnetic properties of quasi-one-dimensional quantum spin-$S$ antiferromagnets. We use a combination of analytical and numerical techniques to study the presence of plateaux in the magnetization curve. The analytical technique consists in a path integral formulation in terms of coherent states. This technique can be extended to the presence of doping and has the advantage of a much better control for large spins than the usual bosonization technique. We discuss the appearance of doping-dependent plateaux in the magnetization curves for spin-$S$ chains and ladders. The analytical results are complemented by a density matrix renormalization group (DMRG) study for a trimerized spin-$1/2$ and anisotropic spin-$3/2$ doped chains.

DOI
10.1103/physrevb.84.115125

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In this paper, we investigate the properties of frustrated three-leg spin-SSS tubes under a magnetic field. We concentrate on two kind of geometries for these tubes, one of which is relevant for the compound [(CuCl2tachH)3Cl]Cl2[{({\mathrm{CuCl}}_{2}\mathrm{tachH})}_{3}\mathrm{Cl}]{\mathrm{Cl}}_{2}[(CuCl2​tachH)3​Cl]Cl2​. We perform an analytical large-SSS path-integral approach to determine the phase diagrams, which exhibit several magnetization plateaux. Moreover, by combining the field-theory approach with a strong-coupling one, we also investigate the issue of gapless nonmagnetic excitations on some plateaux, dubbed chirality degrees of freedom for both tubes: on increasing the intertriangle exchange couplings, a gapless chiral phase transforms into a gapped ``ferrochiral'' state, possibly through intermediate ``spin-imbalanced'' states. All these predictions are confirmed numerically using large-scale density-matrix renormalization-group simulations for the S=3/2S=3/2S=3/2 case.
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We report results of theoretical investigations on the effect of doping and quenched disorder on the occurrence of plateaux in the magnetization curve of 1D systems with periodic modulations in the couplings.For single q-merized Hubbard chains, doping is shown to affect the position at which plateaux appear, leading to the emergence of plateaux at irrational values of the magnetization.For random bond antiferromagnetic Heisenberg chains with periodically modulated bond distributions, disorder generically removes the plateau structure, except in the case of discrete probability distributions.In the latter case, wide plateaux emerge at values of the magnetization dependent on the strength of disorder.
We investigate the spin-1/2 J_{1}-J_{2} triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting field-coupling phase diagram reveals that quantum fluctuations stabilize coplanar order across the entire parameter range, giving rise to a characteristic sequence of magnetization plateaux. Near the quantum-spin-liquid window 0.06≲J_{2}/J_{1}≲0.16, which extends to magnetic field B∼J_{1}, we identify overlapping m=1/3 and m=1/2 plateaux-a distinctive hallmark of the system's proximity to the low-field spin-liquid regime. The excellent quantitative agreement between DMRG and self-consistent one-loop spin-wave calculations demonstrates that semiclassical approaches can reliably capture and parameterize the plateau phases of triangular quantum antiferromagnets.