Vector-spin-chirality order in a dimerized frustrated spin-12chain

2013/08/31 by Hiroshi Ueda, Shigeki Onoda · 11 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Magnetic field #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Zeeman effect #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.89.024407

published in Physical Review B 89(2) (American Physical Society) · 15 pages, 10 figures

arxiv created 2013/12/07 · openalex publication_date 2014/01/10 · arxiv updated 2014/01/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A frustrated spin-1/2 XXZ chain model comprising a ferromagnetic nearest-neighbor coupling with the bond alternation, J₁(1\ifmmode±\else\textpm\fi\ensuremathδ)<0, and an antiferromagnetic second-neighbor exchange coupling J₂>0 is studied at zero and weak magnetic fields by means of density-matrix renormalization-group calculations of order parameters, correlation functions, and the entanglement entropy, as well as an Abelian bosonization analysis. At zero magnetic field, the bond alternation \ensuremathδ>0 suppresses the gapless phase characterized by a vector-chiral (VC) long-range order (LRO) and a quasi-LRO of an incommensurate spin spiral, whereas this phase occupies a large region in the space of J₁/J₂ and the easy-plane exchange anisotropy for \ensuremathδ=0 [S. Furukawa et al., Phys. Rev. Lett. 105, 257205 (2010)]. Then, four gapped phases are found to appear as the exchange anisotropy varies from the SU(2)-symmetric case to the U(1)-symmetric case: the Haldane dimer (D₊) phase with the same sign of the x,y- and z-component dimer order parameters, two VC dimer (VCD₊/VCD_\ensuremath-) phases with the sign of the z-component dimer order parameter being unaltered/reversed, and the even-parity dimer (D_\ensuremath-) phase. At small magnetic fields, a field-induced ring-exchange interaction, which is proportional to a staggered scalar chirality and a magnetic flux penetrating the associated triangle, drives a transition from the D_\ensuremath- phase into a VC-Neel-dimer (VCND) phase, but not from the D₊ phase. This VCND phase is stable up to the large magnetic field at which the Zeeman term closes the spin gap. A possible relevance to Rb₂Cu₂Mo₃O₁₂ is discussed.

Citations

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