We investigate ground state properties of a one-dimensional quantum chiral XY -model in a magnetic field. Numerical calculations are carried out by using a method of density matrix renormalization group. We also analyze behaviors of perturbation series for the ground state energy. For a special case that the natural cantedness is π⁄2, a value of the critical magnetic field for saturation of magnetization is shown to be given exactly in terms of the smallest zero of the Bessel function J0(x ). We obtain the ground state phase diagram.We investigate ground state properties of a one-dimensional quantum chiral XY -model in a magnetic field. Numerical calculations are carried out by using a method of density matrix renormalization group. We also analyze behaviors of perturbation series for the ground state energy. For a special case that the natural cantedness is π⁄2, a value of the critical magnetic field for saturation of magnetization is shown to be given exactly in terms of the smallest zero of the Bessel function J0(x ). We obtain the ground state phase diagram.

Interdisciplinary Information SciencesJan 1, 20005 citations

Disorder-induced order in quantum XY chains

Armand Niederberger, Marek M. Rams, Jacek Dziarmaga +3 more

We observe signatures of disorder-induced order in one-dimensional $\mathit{XY}$ spin chains with an external site-dependent uniaxial random field within the $\mathit{XY}$ plane. We numerically investigate signatures of a quantum phase transition at $T=0$ , in particular, an upsurge of the magnetization in the direction orthogonal to the external magnetic field and the scaling of the block entropy with the amplitude of this field. Also, we discuss possible realizations of this effect in ultracold atomic experiments.We observe signatures of disorder-induced order in one-dimensional $\mathit{XY}$ spin chains with an external site-dependent uniaxial random field within the $\mathit{XY}$ plane. We numerically investigate signatures of a quantum phase transition at $T=0$, in particular, an upsurge of the magnetization in the direction orthogonal to the external magnetic field and the scaling of the block entropy with the amplitude of this field. Also, we discuss possible realizations of this effect in ultracold atomic experiments.

arXiv:1004.1975Physical Review AJul 23, 201035 citations

Finite Temperature Properties of One-Dimensional Chiral XY-model

Tsuyoshi Horiguchi, Yoshihiko Fukui

Science Reports of the Research Institutes, Tohoku University, Series A: Physics, Chemistry, and MetallurgyMar 20, 19950 citations

We observe signatures of disorder-induced order in one-dimensional

\mathit{XY}

spin chains with an external site-dependent uniaxial random field within the

\mathit{XY}

plane. We numerically investigate signatures of a quantum phase transition at

T=0

, in particular, an upsurge of the magnetization in the direction orthogonal to the external magnetic field and the scaling of the block entropy with the amplitude of this field. Also, we discuss possible realizations of this effect in ultracold atomic experiments.