String order in spin liquid phases of spin ladders

2001/02/26 by Gábor Fáth, G. Fath, Örs Legeza +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Atomic orbital #Combinatorics #Condensed matter physics #Diagonal #Electron #Geometry #Mathematics #Order (exchange) #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Quantum spin liquid #Spin (aerodynamics) #Spin polarization #String (physics) #Theoretical physics #Thermodynamics #Topology (electrical circuits) #Valence bond theory #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.63.134403

published as Physical Review B 63, 134403 (2001)

openalex publication_date 2001/02/26 · arxiv created 2003/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Two-leg spin ladders have a rich phase diagram if rung, diagonal, and plaquette couplings are allowed for. Among the possible phases there are two Haldane-type spin liquid phases without local order parameter, which differ, however, in the topology of the short range valence bonds. We show that these phases can be distinguished numerically by two different string order parameters. We also point out that long-range string and dimer orders can coexist.

Citations

• Equivalence of the antiferromagnetic Heisenberg ladder to a singleS=1 chain
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

Cited by

• Energy-level ordering and ground-state quantum numbers for a frustrated two-leg spin-1∕2ladder
• Staggered dimer order and criticality in anS=12quantum spin ladder system with four-spin exchange