Gap-behavior in the vicinity of a saturation transverse field

S. Mahdavifar ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 59, issue 3, 285-289

Abstract: We have studied the behavior of the energy gap of the 1D AF spin- $\frac{1}{2}$ XXZ model in a transverse magnetic field (h) using the exact diagonalization technique. The ground state phase diagram consists of two spin-flop and paramagnetic phases. Using a modified finite-size scaling approach, we have computed the critical exponent of the energy gap in the vicinity of the critical transverse field h c (Δ). Our numerical results confirm that the continuous phase transition from the spin-flop phase to the paramagnetic one is in the universality class of the Ising model in the transverse field (ITF). By applying conformal estimates of a small perturbation (h≪1), we have also justified our numerical results. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 75.10.Jm Quantized spin models; 75.10.Pq Spin chain models (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00289-9

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