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#### One-Dimensional Anisotropic Heisenberg Model in the Transverse Magnetic Field

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##### Citation

Dmitriev, D. V., Krivnov, V. Y., Ovchinnikov, A. A., & Langari, A. (2002). One-Dimensional
Anisotropic Heisenberg Model in the Transverse Magnetic Field.* Journal of Experimental and Theoretical
Physics,* *95*(3), 538-549. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JTPHES000095000003000538000001&idtype=cvips&gifs=Yes.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-3887-A

##### 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. (C) 2002 MAIK "Nauka/Interperiodica".