String correlation functions of the spin-1/2 Heisenberg XXZ chain

Abstract

We calculate certain string correlation functions, originally introduced as order parameters in integer spin chains, for the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit. For small distances, we obtain exact results from Bethe Ansatz and exact diagonalization, whereas in the large-distance limit, field-theoretical arguments yield an asymptotic algebraic decay. We also make contact with two-point spin-correlation functions in the asymptotic limit.

arXiv comment23 pages, 4 figures. An incomplete discussion on the limit to the spin-spin correlation function is corrected on page 12

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• Full counting statistics in the spin-1/2 Heisenberg XXZ chain
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• Intrinsic Jump Character of the First-Order Quantum Phase Transitions
• Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy and Full Counting Statistics
• Full counting statistics and symmetry resolved entanglement for free conformal theories with interface defects
• String correlation functions of the spin-1/2 Heisenberg XXZ chain
• Constructing Landau framework for topological order: Quantum chains and ladders
• Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium
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• Measuring full counting statistics in a trapped-ion quantum simulator
• Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method