S=2 Quantum Spin Chain with the Biquadratic Exchange Interaction

Abstract

The $S=2$ quantum spin chain with the single-ion anisotropy $D$ and the biquadratic exchange interaction $J_{\mathrm{BQ}}$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that the intermediate-$D$ phase corresponding to the symmetry protected topological (SPT) phase appears in a wide region of the ground state phase diagram. We also obtain the phase diagram at the half of the saturation magnetization which includes the SPT plateau phase.

arXiv commentto be published in J. Phys. Soc. Jpn

References in corpus (29)

• Entanglement spectrum of a topological phase in one dimension
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Symmetry protection of topological order in one-dimensional quantum spin systems
• The phase diagram of the anisotropic spin-2 XXZ model: an infinite system DMRG study
• Haldane Gap and Hidden Order in the S=2 Antiferromagnetic Quantum Spin Chain
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Twist Boundary Conditions of Quantum Spin Chains near the Gaussian Fixed Points
• $SU(2)/Z_2$ symmetry of the BKT transition and twisted boundary conditio n
• The bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect
• Haldane, Large-D and Intermediate-D States in an S=2 Quantum Spin Chain with On-Site and XXZ Anisotropies
• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Parity quantum numbers in the Density Matrix Renormalization Group
• Magnetization-plateau state of the S=3/2 spin chain with single ion anisotropy
• Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection
• Absence of string order in the anisotropic S=2 Heisenberg antiferromagnet
• Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy
• Haldane Topological Orders in Motzkin Spin Chains
• Anomalous magnetization of $S$=2 ferromagnetic-antiferromagnetic alternating chain with Ising anisotropy
• Symmetry-protected topological order in magnetization plateau states of quantum spin chains
• How to distinguish the Haldane/Large-D state and the intermediate-D state in an S=2 quantum spin chain with the XXZ and on-site anisotropies
• All spin-1 topological phases in a single spin-2 chain
• Entanglement properties of the Haldane phases: A finite system-size approach
• Long-range magnetic order and interchain interactions in the $S=2$ chain system MnCl${}_3$(bpy)
• Magnetization plateau of the $S=2$ antiferromagnetic Heisenberg chain with anisotropies
• Antiferromagnetic Ordering in MnF(salen)
• Edge Modes in the Intermediate-D and Large-D Phases of the S=2 Quantum Spin Chain with XXZ and On-Site Anisotropies
• Symmetry-protected intermediate trivial phases in quantum spin chains
• Ground-State Phase Diagram of the Bond-Alternating $S=2$ Quantum Spin Chain with the $XXZ$ and On-Site Anisotropies -- Symmetry Protected Topological Phase versus Trivial Phase

Cited by in corpus (1)

• Translational Symmetry Broken Magnetization Plateau of the $S=2$ Antiferromagnetic Chain with Anisotropies