Emptiness Formation Probability for the Anisotropic XY Spin Chain in a Magnetic Field
arXiv:cond-mat/0307001 · doi:10.1016/j.physleta.2003.07.009
Abstract
We study an asymptotic behavior of the probability of formation of a ferromagnetic string (referred to as EFP) of length "n" in a ground state of the one-dimensional anisotropic XY model in a transversal magnetic field as n goes to infinity. We find that it is exponential everywhere in the phase diagram of the XY model except at the critical lines where the spectrum is gapless. One of those lines corresponds to the isotropic XY model where EFP decays in a Gaussian way, as was shown in cond-mat/0106062. The other line is at the critical value of the magnetic field. There, we show that EFP is still exponential but acquires a non-trivial power-law prefactor with a universal exponent.
arXiv comment15 pages, 3 figures, elsart document class
References in corpus (9)
- Spin chains and combinatorics
- The Importance of being Odd
- Correlation Function of the Spin-1/2 XXX Antiferromagnet
- Emptiness Formation Probability for the One-Dimensional Isotropic XY Model
- Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain
- Emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at Delta=1/2
- Correlation functions of the XXZ spin-1/2 Heisenberg chain at the free fermion point from their multiple integral representations
- Asymptotic Behavior of the Emptiness Formation Probability in the Critical Phase of XXZ Spin Chain
- On the probability of ferromagnetic strings in antiferromagnetic spin chains
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