Effects of a space modulation on the behavior of a 1D alternating Heisenberg spin-1/2 model

Abstract

The effects of a magnetic field ($h$) and a space modulation ($\delta$) on the magnetic properties of a one dimensional antiferromagnetic-ferromagnetic Heisenberg spin-1/2 model have been studied by means of numerical exact diagonalization of finite size systems, nonlinear sigma model and bosonization approach. The space modulation is considered on the antiferromagnetic couplings. At $\delta =0$, the model is mapped to a gapless Lüttinger liquid phase by increasing the magnetic field. However, the space modulation induces a new gap in the spectrum of the system and the system experiences different quantum phases which are separated by four critical fields. By opening the new gap a magnetization plateau appears at $1/2M_{sat}$. The effects of the space modulation are reflected in the emergence of a plateau in other physical functions such as the F-dimer and the bond dimer order parameters, and the pair-wise entanglement.

19 pages, 9 figures, Accepted by Journal of Phys.: Condens. Matter

References in corpus (12)

• Quantum spin correlations in an organometallic alternating sign chain
• Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Magnetization plateau in the S=1/2 spin ladder with alternating rung exchange
• Field-induced gap in ordered Heisenberg antiferromagnets
• Scaling behavior of the energy gap of spin-1/2 AF-Heisenberg chain in both uniform and staggered fields
• Alternating Heisenberg Spin-1/2 Chains in a Transverse Magnetic Field
• Spin structure factors and valence-bond-solid states of the trimerized Heisenberg chains in a magnetic field
• Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets
• Magnetic phase diagram of the dimerized spin $S=1/2$ ladder
• Thermodynamic properties of tetrameric bond-alternating spin chains

Cited by in corpus (6)

• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Magnetic properties of the spin $S=1/2$ Heisenberg chain with hexamer modulation of exchange
• Inducing critical phenomena in spin chains through sparse alternating fields
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Zero-temperature study of a tetrameric spin-$1/2$ chain in a transverse magnetic field
• Quantum-classical equivalence and ground-state factorization