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Finite size emptiness formation probability of the XXZ spin chain at $\Delta=-1/2$

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arxiv 1110.2404 v1 pith:6MAD7HQU submitted 2011-10-11 math-ph cond-mat.stat-mechmath.COmath.MP

Luigi Cantini This is my paper · ORCID
classification math-phcond-mat.stat-mechmath.COmath.MP
keywords chaindeltaspinemptinessfiniteformationprobabilityassociated
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abstract

In this paper we compute the Emptiness Formation Probability of a (twisted-) periodic XXZ spin chain of finite length at $\Delta=-1/2$, thus proving the formulae conjectured by Razumov and Stroganov \cite{raz-strog1, raz-strog2}. The result is obtained by exploiting the fact that the ground state of the inhomogeneous XXZ spin chain at $\Delta=-1/2$ satisfies a set of qKZ equations associated to $\displaystyle{U_q(\hat{sl_2})}$.

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  1. Emptiness formation probability and Painlev\'e V equation in the XY spin chain

    cond-mat.stat-mech 2019-09 conditional novelty 6.0 of 10

    The emptiness formation probability of the XY chain, in the double-scaling limit near its critical lines, is governed by a Painleve V tau function; the result is exact at the Ising point and numerically supported elsewhere.

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