Bond-order wave phase, spin solitons and thermodynamics of a frustrated linear spin-1/2 Heisenberg antiferromagnet

Abstract

The linear spin-1/2 Heisenberg antiferromagnet with exchanges $J_1$, $J_2$ between first and second neighbors has a bond-order wave (BOW) phase that starts at the fluid-dimer transition at $J_2/J_1=0.2411$ and is particularly simple at $J_2/J_1=1/2$. The BOW phase has a doubly degenerate singlet ground state, broken inversion symmetry and a finite energy gap $E_m$ to the lowest triplet state. The interval $0.4<J_2/J_1<1.0$ has large $E_m$ and small finite size corrections. Exact solutions are presented up to $N=28$ spins with either periodic or open boundary conditions and for thermodynamics up to $N=18$. The elementary excitations of the BOW phase with large $E_m$ are topological spin-1/2 solitons that separate BOWs with opposite phase in a regular array of spins. The molar spin susceptibility ${\chi }_M(T)$ is exponentially small for $T\ll E_m$ and increases nearly linearly with $T$ to a broad maximum. $J_1$, $J_2$ spin chains approximate the magnetic properties of the BOW phase of Hubbard-type models and provide a starting point for modeling alkali-TCNQ salts.

arXiv comment10 pages, 12 figures

References in corpus (14)

• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Thermodynamics of Spin S = 1/2 Antiferromagnetic Uniform and Alternating-Exchange Heisenberg Chains
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• Tricritical Behavior in the Extended Hubbard Chains
• Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
• Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain
• Mechanism of CDW-SDW Transition in One Dimension
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Dimerization in a half-filled one-dimensional extended Hubbard model
• The Hubbard chain at finite temperatures: ab initio calculations of Tomonaga-Luttinger liquid properties
• Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model
• The Half-Filled One-Dimensional Extended Hubbard Model: Phase diagram and Thermodynamics
• Tuning the bond order wave (BOW) phase of half-filled extended Hubbard models

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• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
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