Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated Side Chains

Abstract

A mixed Heisenberg spin chain with frustrated side chains is investigated by numerical and perturbational calculations. A frustration-induced quantum partially polarized ferrimagnetic phase and a nonmagnetic spin quadrupolar phase are found adjacent to the conventional Lieb-Mattis type ferrimagnetic phase or the nonmagnetic singlet cluster solid phases. The partially polarized ferrimagnetic phase has an incommensurate spin structure. Similar structures are commonly found in other frustration-induced partially polarized ferrimagnetic phases. Numerical results also suggest a series of almost critical nonmagnetic ground states in a highly frustrated regime if the side chain spins weakly couple to the main chain.

10 pages, 18 figures

References in corpus (24)

• Nematic order in square lattice frustrated ferromagnets
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin nematics in the bilinear-biquadratic S=1 spin chain
• Confirmation of a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest-neighbor interactions in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain
• Strongly reduced gap in the zigzag spin chain with a ferromagnetic interchain coupling
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Twist Boundary Conditions of Quantum Spin Chains near the Gaussian Fixed Points
• Thermodynamics of the (1,1/2) Ferrimagnet in Finite Magnetic Fields
• Zero temperature phase transitions in quantum Heisenberg ferromagnets
• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Fractional S^z excitation and its bound state around the 1/3 plateau of the S=1/2 Ising-like zigzag XXZ chain
• Magnetic and Critical Properties of Alternating Spin Heisenberg Chain in a Magnetic Field
• Phase diagram of a frustrated mixed-spin ladder with diagonal exchange bonds
• Frustrated quantum Heisenberg ferrimagnetic chains
• Ferromagnetic Luttinger Liquids
• Non-Linear Sigma Model for Inhomogeneous Spin Chains
• Ferrimagnetic States in S=1/2 Frustrated Heisenberg Chains with Period 3 Exchange Modulation
• Phase Diagrams of Mixed Spin Chains with Period 4 by the Nonlinear $\sigma$ Model
• Two-Dimensional Quantum Spin Systems with Ladder and Plaquette Structure
• Exotic Ground State Phases of $S=1/2$ Heisenberg $\Delta$-Chain with Ferromagnetic Main Chain
• Disordered ground states in a quantum frustrated spin chain with side chains
• Phase Diagram of the 1/2-1/2-1-1 Spin Chain by the Nonlinear Sigma Model
• Spin-Gap States of a Periodic Mixed Spin Chain

Cited by in corpus (20)

• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Collapse of Ferrimagnetism in Two-Dimensional Heisenberg Antiferromagnet due to Frustration
• Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets
• Diamond chains with multiple-spin exchange interactions
• Haldane Phases and Ferrimagnetic Phases with Spontaneous Translational Symmetry Breakdown in Distorted Mixed Diamond Chains with Spins 1 and 1/2
• Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice
• Finite Temperature Properties of the Mixed Diamond Chain with Spins 1 and 1/2
• Frustration-Induced Ferrimagnetism in S=1/2 Heisenberg Spin Chain
• Variety of order-by-disorder phases in the asymmetric $J_1-J_2$ zigzag ladder: From the delta chain to the $J_1-J_2$ chain
• Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices
• Topological Phases of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain with Frustrated Next-Nearest-Neighbour Interaction
• Frustrated spin ladder with alternating spin-1 and spin-1/2 rungs
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
• Nontrivial ferrimagnetism of the Heisenberg model on the Union Jack strip lattice
• Partial Ferrimagnetism in S=1/2 Heisenberg Ladders with a Ferromagnetic Leg, an Antiferromagnetic Leg, and Antiferromagnetic Rungs
• Characterization of Topological Phases of Spin-1/2 Frustrated Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chains by Entanglement Spectrum
• Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration
• Anomalous fractional quantization in the kagomelike Heisenberg ladder: Emergence of the effective spin-1 chain
• Scaling Property of the F-AF Spin Chain Near the Exactly Solvable Point
• Topological Phases of Spin-1/2 Ferromagnetic--Antiferromagnetic Alternating Heisenberg Chains with Alternating Next-Nearest-Neighbour Interaction