6533b853fe1ef96bd12ac26a

RESEARCH PRODUCT

Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain

Frank GöhmannKarol K. KozlowskiMaxime Dugave

subject

High Energy Physics - TheoryStatistics and ProbabilityPhysicsField (physics)Statistical Mechanics (cond-mat.stat-mech)Mathematical analysisFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Quantum transfer matrixMagnetic fieldChain (algebraic topology)High Energy Physics - Theory (hep-th)Transversal (combinatorics)Point (geometry)Statistics Probability and UncertaintyLarge distanceSaturation (magnetic)Condensed Matter - Statistical MechanicsMathematical Physics

description

We derive the low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain by summing up the asymptotically dominant terms of their expansion into form factors of the quantum transfer matrix. Our asymptotic formulae are numerically efficient and match well with known results for vanishing magnetic field and for short distances and magnetic fields below the saturation field.

https://dx.doi.org/10.48550/arxiv.1401.4132