The emptiness formation probability correlation in homogeneous and dimerized XX chains

Details The emptiness formation probability correlation in homogeneous and dimerized XX chains The emptiness formation probability correlation in homogeneous and dimerized XX chains

2009-04-22

arxiv.org/abs/0904.3519v2

Condensed Matter Physics 12, 369 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

Fixed some typos, added two references and remarks on finite-size effects. To be published in Cond. Mat. Phys

Scientific paper

We review some known properties of the "emptiness formation probability" correlation which we have calculated numerically for spin-1/2 XX chains with constant (homogeneous) or alternating (dimerized) nearest-neighbor coupling and an external field (in $z$ direction) for arbitrary temperature. The long-distance asymptotic behavior of this correlation is known to be Gaussian at zero temperature and exponential at finite temperature for the homogeneous chain. By simple analytical arguments the exponential behavior at finite temperature extends to the dimerized system. Numerical results for the dimerized chain confirm the exponential decay at finite temperature and show Gaussian decay at zero temperature.

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