Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains

Abstract

Correlation functions of dimer operators, the product operators of spins on two adjacent sites, are studied in the spin-$\frac{1}{2}$ XXZ chain in the critical regime. The amplitudes of the leading oscillating terms in the dimer correlation functions are determined with high accuracy as functions of the exchange anisotropy parameter and the external magnetic field, through the combined use of bosonization and density-matrix renormalization group methods. In particular, for the antiferromagnetic Heisenberg model with SU(2) symmetry, logarithmic corrections to the dimer correlations due to the marginally-irrelevant operator are studied, and the asymptotic form of the dimer correlation function is obtained. The asymptotic form of the spin-Peierls excitation gap including logarithmic corrections is also derived.

11 pages, 8 figures, 1 table + Supplemental Material (7 pages, 6 tables). v2: accepted version, numerical data for finite magnetic field (Figs. 7, 8 and Tables in Supplemental Material) are modified slightly, some references are added

References in corpus (5)

• Two-magnon excitations in resonant inelastic x-ray scattering from quantum Heisenberg antiferromagnets
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain

Cited by in corpus (11)

• Quantum phase transitions beyond Landau-Ginzburg theory in one-dimensional space revisited
• Electronic structure of above-room-temperature van der Waals ferromagnet Fe${}_3$GaTe${}_2$
• Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
• Polarization amplitude near quantum critical points
• Emergent O(4) symmetry at an one-dimensional deconfined quantum tricritical point
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Entanglement flow in the Kane-Fisher quantum impurity problem
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains
• Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems
• Correlation functions at the topological quantum phase transition in the S=1 XXZ chain with single-ion anisotropy