Journal of Physics Conference Series

Field-induced incommensurate order and possible supersolid in theS= 1/2 frustrated diamond chain

Tôru Sakai, Kazuki Okamoto, Takashi Tonegawa

Published Jan 1, 2009• 3 citations

Abstract

The magnetization process of the distorted diamond chain is theoretically investigated using the numerical exact diagonalization and the density matrix renormalization group calculation. It is found that for some specified parameters the ground-state critical behavior is dominated by the incommensurate spin correlation parallel to the external magnetic field, around the 2/3 magnetization plateau. In the presence of interchain interaction it should be an incommensurate long-range order which possibly leads to a supersolid if coexisting with the usual transverse antiferromagnetic long-range order.

DOI: 10.1088/1742-6596/145/1/012065

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Journal of Physics Conference Series

Field-induced incommensurate order and possible supersolid in theS= 1/2 frustrated diamond chain

Tôru Sakai, Kazuki Okamoto, Takashi Tonegawa

Published Jan 1, 2009• 3 citations

Publisher

Abstract

DOI: 10.1088/1742-6596/145/1/012065

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We study isotropic antiferromagnetic Heisenberg chains coupled by antiferromagnetic Ising interaction as an effective spin model for the ytterbium aluminum perovskite ${\mathrm{YbAlO}}_{3}$ . Using the density-matrix renormalization group (DMRG) method we calculate the magnetization curve, local spin, central charge, and dynamical spin structure factors in the presence of magnetic field. From the fitting of the experimental magnetization curve, the effective intrachain and interchain couplings are estimated as $J=2.3$ K and ${J}_{\mathrm{ic}}=0.8$ K, respectively. We can quantitatively explain the experimental observations: (i) phase transition from antiferromagnetic to incommensurate order at field 0.35 T, and (ii) quantum critical behaviors at the saturation field of 1.21 T. Furthermore, the low-energy excitations in the experimental inelastic neutron scattering spectra can be well described by our DMRG results of the dynamical structure factors.We study isotropic antiferromagnetic Heisenberg chains coupled by antiferromagnetic Ising interaction as an effective spin model for the ytterbium aluminum perovskite ${\mathrm{YbAlO}}_{3}$. Using the density-matrix renormalization group (DMRG) method we calculate the magnetization curve, local spin, central charge, and dynamical spin structure factors in the presence of magnetic field. From the fitting of the experimental magnetization curve, the effective intrachain and interchain couplings are estimated as $J=2.3$ K and ${J}_{\mathrm{ic}}=0.8$ K, respectively. We can quantitatively explain the experimental observations: (i) phase transition from antiferromagnetic to incommensurate order at field 0.35 T, and (ii) quantum critical behaviors at the saturation field of 1.21 T. Furthermore, the low-energy excitations in the experimental inelastic neutron scattering spectra can be well described by our DMRG results of the dynamical structure factors.

arXiv:1905.01204Physical review. B./Physical review. BJun 17, 201910 citations

We investigate the critical properties of the

S=1∕2

bond-alternating spin chain with a next-nearest-neighbor interaction in magnetic fields. By the numerical calculation and the exact solution based on the effective Hamiltonian, we show that there is a parameter region where the longitudinal incommensurate spin correlation becomes dominant around the half-magnetization of the saturation. Possible interpretations of our results are discussed. We next investigate the effects of the interchain interaction $({J}^{\ensuremath{'}})$. The staggered susceptibility and the uniform magnetization are calculated by combining the density-matrix renormalization group method with the interchain mean-field theory. For the parameters where the dominant longitudinal incommensurate spin correlation appears in the case ${J}^{\ensuremath{'}}=0$, the staggered long-range order does not emerge up to a certain critical value of ${J}^{\ensuremath{'}}$ around the half-magnetization of the saturation. We calculate the static structure factor in such a parameter region. The size dependence of the static structure factor at

k=2{k}_{F}

implies that the system has a tendency to form an incommensurate long-range order around the half-magnetization of the saturation. We discuss the recent experimental results for the NMR relaxation rate in magnetic fields performed for pentafluorophenyl nitronyl nitroxide.

We study isotropic antiferromagnetic Heisenberg chains coupled by antiferromagnetic Ising interaction as an effective spin model for the ytterbium aluminum perovskite

{\mathrm{YbAlO}}_{3}

. Using the density-matrix renormalization group (DMRG) method we calculate the magnetization curve, local spin, central charge, and dynamical spin structure factors in the presence of magnetic field. From the fitting of the experimental magnetization curve, the effective intrachain and interchain couplings are estimated as

J=2.3

K and

{J}_{\mathrm{ic}}=0.8

K, respectively. We can quantitatively explain the experimental observations: (i) phase transition from antiferromagnetic to incommensurate order at field 0.35 T, and (ii) quantum critical behaviors at the saturation field of 1.21 T. Furthermore, the low-energy excitations in the experimental inelastic neutron scattering spectra can be well described by our DMRG results of the dynamical structure factors.