Abstract
The one-dimensional spin-1/2 XXZ model in a transverse magnetic field is studied. It is shown that the field induces a gap in the spectrum of the model with the easy-plane anisotropy. Using conformal invariance, the field dependence of the gap is found at small fields. The ground state phase diagram is obtained. It contains four phases with the long-range order of different types and a disordered phase. These phases are separated by critical lines, where the gap and the long-range order vanish. Using scaling estimates, the mean-field approach, and numerical calculations in the vicinity of all critical lines, we find the critical exponents of the gap and the long-range order. It is shown that the transition line between the ordered and disordered phases belongs to the universality class of the transverse Ising model.
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From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 3, 2002, pp. 624–635.
Original English Text Copyright © 2002 by Dmitriev, Krivnov, Ovchinnikov, Langari.
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Dmitriev, D.V., Krivnov, V.Y., Ovchinnikov, A.A. et al. One-dimensional anisotropic Heisenberg model in the transverse magnetic field. J. Exp. Theor. Phys. 95, 538–549 (2002). https://doi.org/10.1134/1.1513828
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DOI: https://doi.org/10.1134/1.1513828