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IEEE International Magnetic Conference - Short Papers (INTERMAG Short Papers)

Field-Induced Spin Nematic Phase of a Magnet on the Shastry-Sutherland Lattice with the Anisotropic Ferromagnetic Interaction

Tôru Sakai

Published May 1, 2023• 0 citations
Publisher

Abstract

A spin-1/2 magnetic system with the ferromagnetic and antiferromagnetic interactions on the Shastry-Sutherland lattice is investigated using the numerical diagonalization of finite-size clusters. The easy-axis anisotropy is introduced at the ferromagnetic bond of the present system and the magnetization process in the external magnetic field parallel to the axis is studied. As a result, the field-induced two-magnon bound phase is found at higher magnetization region than half the saturation. Base on the analogy to the previous study on the spin ladder system, the spin nematic order perpendicular to the external field would be expected to appear in this two-magnon bound phase.

DOI
10.1109/intermagshortpapers58606.2023.10228221

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•Sep 28, 2017•0 citations
A spin-1/2 magnetic system with the ferromagnetic and antiferromagnetic interactions on the Shastry-Sutherland lattice is investigated using the numerical diagonalization of finite-size clusters. The easy-axis anisotropy is introduced at the ferromagnetic bond of the present system and the magnetization process in the external magnetic field parallel to the axis is studied. As a result, the field-induced two-magnon bound phase is found at higher magnetization region than half the saturation. Base on the analogy to the previous study on the spin ladder system, the spin nematic order perpendicular to the external field would be expected to appear in this two-magnon bound phase.
The magnetization process of the S = 1/2 two-dimensional magnet where ferromagnetic dimers connected by the antiferromagnetic bond on the Shastry-Sutherland lattice is investigated using the numerical diagonalization of a finite-size cluster. We introduce the easy-axis anisotropy at the intradimer ferromagnetic interaction and consider the external magnetic field along the easy axis. It is found that the two-magnon bound state appears at higher magnetization regions for sufficiently large anisotropy. Base on the previous studies of several one-dimensional systems and the present calculation of the spin correlation function, the spin nematic order perpendicular to the external field is expected to occur in this two-magnon bound phase.
The magnetization process of the S = 1/2 Kondo necklace spin chain with the anisotropic ferromagnetic interaction is investigated using the numerical diagonalization of finite-size systems. As a result, it is found that the two-magnon bound state appears in the field-induced Tomonaga-Luttinger liquid phase for sufficiently large anisotropy. The critical exponent analysis indicates that the spin nematic correlation is dominant at higher magnetization region in the two-magnon bound phase. The phase diagram with respect to the anisotropy and the magnetization is presented.
The S=12S=\frac{1}{2}S=21​ quantum spin ladder system with the anisotropic ferromagnetic exchange interaction on the rung under magnetic field is investigated using the numerical diagonalization and the density matrix renormalization group (DMRG) analyses. It is found that the nematic-spin-correlation-dominant Tomonaga-Luttinger liquid (TLL) appears in some high magnetic field. It is included in the TLL phase where the two-magnon bound state is realized. For some suitable parameters, after the field-induced phase transition from this two-magnon-bound TLL phase to the single-magnon TLL one, the re-entrant transition to the two-magnon-bound TLL phase occurs, which is confirmed by the magnetization curves by the DMRG. Several phase diagrams on the plane of the coupling anisotropy versus the magnetization and the magnetic field are presented. The present result is a proposal of the candidate system which exhibits the spin nematic phase without the biquadratic interaction or the frustration.
The magnetization process of the S=1S=1S=1 spin ladder system is investigated using the numerical exact diagonalization of finite-size clusters. The field-induced spin nematic liquid phase was predicted to appear by our previous work. Several ground-state phase diagrams in the plane of the single-ion anisotropy and the external magnetic field are obtained in the present study.
The spin nematic phase, which is a kind of multipole phases, has attracted a lot of interest in the field of the strongly correlated electron systems, as well as the quantum spin liquid phase. Using the numerical exact diagonalization, the density matrix renormalization group (DMRG) calculation, and the finite-size scaling analysis, it is found that some spin nematic and spin liquid phases appear in the anisotropic and/or frustrated quantum spin systems. In our previous work, quasi-one-dimensional quantum spin systems with the easy-axis anisotropy in magnetic field are theoretically investigated using the numerical exact diagonalization, the density matrix renormalization group (DMRG) and the finite-size scaling analysis[1]. It was found that a field-induced nematic phase appears at some critical field in the anisotropic spin ladder and the mixed spin chain. The nematic phase is characterized by the power-law decay in the correlation function of the second-order spin moment. In addition at some higher critical field a quantum phase transition can occur to the conventional field-induced Tomonaga-Luttinger liquid. Several typical magnetization curves calculated by DMRG are presented. We will also propose an experiment to observe these field-induced transitions by NMR measurements. The field-induced incommensurate order observed in azurite, which is modeled by the distorted diamond chain, by the recent NMR measurement will be also discussed. Recently the field-induced nematic phase was observed on the frustrated spin ladder system[2,3]. So we study on a frustrated spin ladder system[4], using the numerical diagonalization and DMRG. As a result, it is found that several exotic quantum phases, including the spin-nematic liquid phase. We also report some exact eigen states of the present model. [1] T. Sakai, T. Tonegawa and K. Okamoto, Physica Status Solidi B 247 (2010) 583.[2] N. Buttgen et al., Phys. Rev B 90, (2014) 134401.[3] K. Nawa et al., J. Phys. Soc. Jpn., 82 (2013) 094709.[4] T. Hikihara, T. Tonegawa, K. Okamoto and T. Sakai, J. Phys. Soc. Jpn. 86 (2017) 054709.