arXiv:cond-mat/0412067 · Journal of the Physical Society of Japan

One-dimensionalS=1 Spin–Orbital Model with Uniaxial Single-Ion Anisotropy

Satoshi Miyashita, Norio Kawakami

Published Feb 15, 2005• 4 citations

Abstract

We investigate ground-state properties of a one-dimensional S=1 spin-orbital model with or without uniaxial single-ion anisotropy. By means of the density matrix renormalization group method, we compute the ground-state energy, the magnetization curves and the correlation functions. We discuss how the ground-state properties depend on the two exchange couplings for orbital and spin sectors. The phase diagram obtained is compared with that for the S=1/2 model. We also address the effect of uniaxial single-ion anisotropy.

DOI: 10.1143/jpsj.74.758

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arXiv:cond-mat/0412067 · Journal of the Physical Society of Japan

One-dimensionalS=1 Spin–Orbital Model with Uniaxial Single-Ion Anisotropy

Satoshi Miyashita, Norio Kawakami

Published Feb 15, 2005• 4 citations

arXiv HTML PDF

Abstract

DOI: 10.1143/jpsj.74.758

Related papers

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0.0\lesssim\alpha \leq 1.0

We investigate ground-state properties and quantum phase transitions in the one-dimensional

S=1

spin-orbital model relevant to cubic vanadates. Using the density-matrix renormalization group, we compute the ground-state energy, the magnetization, and the correlation functions for different values of the Hund's coupling

{J}_{H}

and the external magnetic field. It is found that the magnetization jumps at a certain critical field, which is a hallmark of the field-induced first-order phase transition. The phase transition driven by

{J}_{H}

is also of first order. We also consider how the lattice-induced ferro-type interaction between orbitals modifies the phase diagram, and discuss the results in a context of the first-order phase transition observed in

{\mathrm{YVO}}_{3}

at 77 K.

One-dimensional

S=1

\mathrm{XXZ}

chains with uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite-size systems. The numerical data are analyzed using conformal field theory, the level spectroscopy, phenomenological renormalization-group, and finite-size scaling method. We thus present a quantitatively reliable ground-state phase diagram of this model. The ground states of this model contain the Haldane phase, large-D phase, N\'eel phase, two

\mathrm{XY}

phases, and the ferromagnetic phase. There are four different types of transitions between these phases: the Brezinskii-Kosterlitz-Thouless-type transitions, the Gaussian-type transitions, the Ising-type transitions, and the first-order transitions. The locations of these critical lines are accurately determined.