Frustrated antiferromagnetic quantum spin chains for spin length S > 1

Abstract

We investigate frustrated antiferromagnetic Heisenberg quantum spin chains at T=0 for S=3/2 and S=2 using the DMRG method. We localize disorder and Lifshitz points, confirming that quantum disorder points can be seen as quantum remnants of classical phase transitions. Both in the S=3/2 and the S=2 chain, we observe the disappearance of effectively free S=1/2 and S=1 end spins respectively. The frustrated spin chain is therefore a suitable system for clearly showing the existence of free end spins S'=[S/2] also in half-integer antiferromagnetic spin chains with S>1/2. We suggest that the first order transition found for S=1 in our previous work is present in all frustrated spin chains with S>1/2, characterized by the disappearance of effectively free end spins with S'=[S/2].

6 pages, 8 ps figures, uses RevTeX, submitted to PRB

References in corpus (1)

• Absence of string order in the anisotropic S=2 Heisenberg antiferromagnet

Cited by in corpus (24)

• Ground State Phase Diagrams of Frustrated Spin-S XXZ Chains: Chiral Ordered Phases
• Frustrated trimer chain model and Cu3Cl6(H2O)2 2H8C4SO2 in a magnetic field
• Frustrated three-leg spin tubes: from spin 1/2 with chirality to spin 3/2
• The Density Matrix Renormalization Group for finite Fermi systems
• Spinon confinement and the Haldane gap in SU(n) spin chains
• Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
• Density-Matrix Renormalization-Group Analysis of Quantum Critical Points: I. Quantum Spin Chains
• Commensurate and incommensurate correlations in Haldane gap antiferromagnets
• Floating, critical and dimerized phases in a frustrated spin-3/2 chain
• Spin gap of the three-leg S=3/2 Heisenberg tube
• Experimental confirmation of spin gap in antiferromagnetic alternating spin-3/2 chain substances RCrGeO5 (R = Y or 154Sm) by inelastic neutron scattering experiments
• From SU(2)${}_5$ to SU(2)${}_3$ Wess-Zumino-Witten transitions in a frustrated spin-5/2 chain
• Spin 3/2 dimer model
• Incommensurability Effects in Odd Length J_1-J_2 Quantum Spin Chains: On-site magnetization and Entanglement
• Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization
• Sequential quantum phase transitions in $J_1$-$J_2$ Heisenberg chains with integer spins ($S>1$): Quantized Berry phase and valence-bond solids
• Rigorous decoupling between edge states in frustrated spin chains and ladders
• Bound states and deconfined spinons in the dynamical structure factor of the $J_1-J_2$ spin-1 chain
• Néel and disordered phases of coupled Heisenberg chains with $S=1/2$ to S=4
• Topological Phases in Half-Integer Higher Spin $J_1$-$J_2$ Heisenberg Chains
• Realization of Wess-Zumino-Witten transitions with levels $k=6$ and $k=4$ in a frustrated spin-3 chain
• Onsager's regression hypothesis adjusted to quantum systems
• Competition between dimerization and vector chirality in the spin-$3/2$ $J_1$-$J_2$ Heisenberg chain with uniaxial single-ion anisotropy
• Excitations and dynamical structure factor of $J_1-J_2$ spin-$3/2$ and spin-$5/2$ Heisenberg spin chains