On the emptiness formation probability of the open XXZ spin-$\tf{1}{2}$ chain

Abstract

This paper is devoted to the study of the emptiness formation probability $τ\pa{m}$ of the open XXZ chain. We derive a closed form for $τ\pa{m}$ at $Δ=\tf{1}{2}$ when the boundary field vanishes. Moreover we obtain its leading asymptotics for an arbitrary boundary field at the free fermion point. Finally, we compute the first term of the asymptotics of $\ln\pa{τ\pa{m}}$ in the whole massless regime $-1<\Delta <1$.

18 pages

References in corpus (1)

• Correlation functions of the open XXZ chain I

Cited by in corpus (4)

• Correlation functions of the open XXZ chain I
• Correlation functions of the open XXZ chain II
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• Finite size corrections to scaling of the formation probabilities and the Casimir effect in the conformal field theories