On the probability of ferromagnetic strings in antiferromagnetic spin chains

DOI10.1016/S0550-3213(02)00899-4zbMath1001.82023arXivcond-mat/0206353OpenAlexW3104718109MaRDI QIDQ1847528

Alexander G. Abanov, Vladimir E. Korepin

Publication date: 26 November 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0206353

zbMATH Keywords

extrapolationexternal magnetic fieldbosonization

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (12)

Emptiness formation in polytropic quantum liquids ⋮ Boundary emptiness formation probabilities in the six-vertex model at $\mathbf{\Delta }=-\frac{\mathbf{1}}{\mathbf{2}}$ ⋮ Exact correlations in topological quantum chains ⋮ Emptiness formation probability for the anisotropic \(XY\) spin chain in a magnetic field ⋮ Emptiness and depletion formation probability in spin models with inverse square interaction ⋮ Void formation in diffusive lattice gases ⋮ Emptiness formation probability, Toeplitz determinants, and conformal field theory ⋮ Finite size corrections to scaling of the formation probabilities and the Casimir effect in the conformal field theories ⋮ Real-time dynamics in a strongly interacting bosonic hopping model: global quenches and mapping to the XX chain ⋮ Entanglement entropy of excited states ⋮ Asymptotic behavior of the emptiness formation probability in the critical phase of \(XXZ\) spin chain ⋮ Emptiness formation probability and Painlevé V equation in the XY spin chain

Cites Work

• Low energy effective Hamiltonian for the \(XXZ\) spin chain
• Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain
• Correlation function of the spin-\(\frac 12 XXX\) antiferromagnet
• Thermodynamics of One-Dimensional Solvable Models
• Quantum correlations and number theory
• Emptiness formation probability of theXXZspin-  Heisenberg chain at
• Spin chains and combinatorics
• Emptiness Formation Probability for the One-Dimensional IsotropicXYModel
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