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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2016

Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime

Maxime Dugave
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Frank Göhmann
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Junji Suzuki
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Résumé

We analyse the long-time large-distance asymptotics of the longitudinal correlation functions of the Heisenberg-Ising chain in the easy-axis regime. We show that in this regime the leading asymptotics of the dynamical two-point functions is entirely determined by the two-spinon contribution to their form factor expansion. Its explicit form is obtained from a saddle-point analysis of the corresponding double integral. It describes the propagation of a wave front with velocity $v_{c_1}$ which is found to be the maximal possible group velocity. Like in wave propagation in dispersive media the wave front is preceded by a precursor running ahead with velocity $v_{c_2}$. As a special case we obtain the explicit form of the asymptotics of the auto-correlation function.

Dates et versions

hal-01413200 , version 1 (09-12-2016)

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Maxime Dugave, Frank Göhmann, Karol K. Kozlowski, Junji Suzuki. Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime. Journal of Physics A: Mathematical and Theoretical, 2016, 49 (7), ⟨10.1088/1751-8113/49/7/07LT01⟩. ⟨hal-01413200⟩
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