Ground-State Phase Diagram of Frustrated Antiferromagnetic S = 1 Chain with Uniaxial Single-Ion-Type Anisotropy

2002/01/01 by Toshiya Hikihara · 1 citation
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Iron-based superconductors research #Physics of Superconductivity and Magnetism #cond-mat.stat-mech

paper · pdf · doi:10.1143/jpsj.71.319

published as J. Phys. Soc. Jpn. 71 (2002) 319 · 12 pages, 7 figures

openalex publication_date 2002/01/01 · arxiv created 2002/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The ground-state phase diagram of a frustrated S=1 Heisenberg spin chain with uniaxial single-ion-type anisotropy is studied using the infinite-system density-matrix renormalization-group method. Particular attention is paid to "chiral" phases, in which the long-range order parameter is a vector chirality. It is found that, in addition to the Haldane, large-D (LD), and double-Haldane phases, the phase diagram includes three different chiral phases, i.e., the gapless chiral, chiral-Haldane, and chiral-LD phases. These chiral phases are distinguished from each other by the energy gap and the string long-range order.

Citations

• Incommensurate Spin Correlations in Spin-1/2Frustrated Two-Leg Heisenberg Ladders
• Variational and density-matrix renormalization-group studies of the frustrated antiferromagnetic Heisenberg S=1 quantum spin chain
• Density-matrix algorithms for quantum renormalization groups
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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• New trends in density matrix renormalization