Field-Induced Quantum Spin Nematic Liquid Phase in the S=1 Antiferromagnetic Heisenberg Chain with Additional Interactions

Abstract

The magnetization process of the S = 1 antiferromagnetic chain with the single-ion anisotropy D and the biquadratic interaction is investigated using the numerical diagonalization. Both interactions stabilize the 2-magnon Tomonaga-Luttinger liquid (TLL) phase in the magnetization process. Based on several excitation gaps calculated by the numerical diagonalization, some phase diagrams of the magnetization process are presented. These phase diagrams reveal that the spin nematic dominant TLL phase appears at higher magnetizations for sufficiently large negative D.

Magnetization process of antiferromagnetic quantum spin chains with the biquadratic exchange interaction

“…Indeed it was confirmed for the S = 1 chain by the previous works. [5][6][7] However, the present numerical diagonalization studies on the S = 3/2 and S = 2 chains do not indicate the appearance of the spin nematic phase. In order to investigate what happen in the S = 3/2 and S = 2 chains, we perform the numerical diagonalization for the finite-size cluster.…”

“…In this paper, we consider the effect of the biquadratic exchange interaction on the magnetization process of the antiferromagnetic quantum spin chains. The several previous theoretical works [5][6][7] indicated that it would yield the field-induced spin nematic liquid phase in the S = 1 antiferromagnetic chain. As the next step, we focus on the S = 3/2 and S = 2 chains here.…”

“…5 It was also supported by the numerical diagonalization and the conformal field theory analysis. 6,7 In the present work, the magnetization processes of the S = 3/2 and S = 2 antiferromagnetic chains with the biquadratic exchange interaction are investigated using the numerical diagonalization of finite-size clusters. In the magnetization process of the one-dimensional quantum spin chains without the biquadratic exchange interaction, the system exhibits the gapless Tomonaga-Luttinger liquid phase.…”

Spin Nematic Liquids of the S = 1 Spin Ladder in Magnetic Field

“…[1][2][3][4] Recently another mechanism of the spin nematic liquid based on the anisotropy was proposed and it was predicted to occur in the spin ladder and the bond-alternating chain, using the numerical diagonalization analyses. [5][6][7][8][9][10] . In this paper, we propose the spin nematic liquid phase in the distorted diamond chain based on the same mechanism.…”