Ground State Phase Diagram of Frustrated S = 1 XXZ chains: Chiral Ordered Phases

1999/10/11 by T. Hikihara, Toshiya Hikihara, Makoto Kaburagi +5 · 5 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Density matrix renormalization group #Gapless playback #Ground state #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Renormalization group #Spin (aerodynamics) #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1143/jpsj.69.259

13 pages, 9 figures, to appear in J. Phys. Soc. Jpn

arxiv created 1999/10/11 · openalex publication_date 2000/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The ground-state phase diagram of frustrated S=1 XXZ spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied using the infinite-system density-matrix renormalization-group method. We find six different phases, namely, the Haldane, gapped chiral, gapless chiral, double Haldane, N'eel, and double N'eel (uudd) phases. The gapped and gapless chiral phases are characterized by the spontaneous breaking of parity, in which the long-range order parameter is a chirality, κ_l = S_l^xS_l+1^y-S_l^yS_l+1^x, whereas the spin correlation decays either exponentially or algebraically. These chiral ordered phases appear in a broad region in the phase diagram for Δ < 0.95, where Δ is an exchange-anisotropy parameter. The critical properties of phase transitions are also studied.

Citations

• Variational and density-matrix renormalization-group studies of the frustrated antiferromagnetic Heisenberg S=1 quantum spin chain
• Density-matrix algorithms for quantum renormalization groups
• Properties of the chiral spin liquid state in generalized spin ladders
• Phase transitions induced by easy-plane anisotropy in the classical Heisenberg antiferromagnet on a triangular lattice: A Monte Carlo simulation
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

Cited by

• The density-matrix renormalization group
• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin- (1)/(2) AF-Heisenberg chain in an uniform magnetic field
• Vector Chiral Phases in the Frustrated 2DXYModel and Quantum Spin Chains
• Magnetic phase diagram of the spin-12antiferromagnetic zigzag ladder
• 1D frustrated ferromagnetic model with added Dzyaloshinskii-Moriya interaction