Gap-behavior in the vicinity of a saturation transverse field |
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Authors: | S Mahdavifar |
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Institution: | (1) Institute for Advanced Studies in Basic Sciences, Zanjan, 45195-1159, Iran |
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Abstract: | We have studied the behavior of the energy gap of the 1D AF
spin-
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 hc(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. |
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Keywords: | PACS" target="_blank">PACS 75 10 Jm Quantized spin models 75 10 Pq Spin chain models |
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