6533b7d7fe1ef96bd1268448
RESEARCH PRODUCT
On form-factor expansions for the XXZ chain in the massive regime
Maxime DugaveJunji SuzukiKarol K. KozlowskiFrank Göhmannsubject
Statistics and ProbabilityPhysicsStatistical Mechanics (cond-mat.stat-mech)Nonlinear Sciences - Exactly Solvable and Integrable SystemsForm factor (quantum field theory)FOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)IntegerChain (algebraic topology)Correlation functionExcited stateThermodynamic limitCondensed Matter::Strongly Correlated ElectronsLimit (mathematics)Exactly Solvable and Integrable Systems (nlin.SI)Statistics Probability and UncertaintyCondensed Matter - Statistical MechanicsMathematical PhysicsMathematical physicsSpin-½description
We study the large-volume-$L$ limit of form factors of the longitudinal spin operators for the XXZ spin-$1/2$ chain in the massive regime. We find that the individual form factors decay as $L^{-n}$, $n$ being an even integer counting the number of physical excitations -- the holes -- that constitute the excited state. Our expression allows us to derive the form-factor expansion of two-point spin-spin correlation functions in the thermodynamic limit $L\rightarrow +\infty$. The staggered magnetisation appears naturally as the first term in this expansion. We show that all other contributions to the two-point correlation function are exponentially small in the large-distance regime.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-12-28 |