Gap generation in the XXZ model in a transverse magnetic field

Dmitriev, D. V.; Krivnov, V. Y.; Ovchinnikov, A. A.

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Gap generation in the XXZ model in a transverse magnetic field

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Ovchinnikov, A. A.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Dmitriev, D. V., Krivnov, V. Y., & Ovchinnikov, A. A. (2002). Gap generation in the XXZ model in a transverse magnetic field. Physical Review B, 65(17): 172409. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000065000017172409000001&idtype=cvips&gifs=yes.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-3792-7

Abstract

The ground-state phase diagram of the one-dimensional XXZ model in a transverse magnetic field is obtained. It consists of the gapped phases with different types of long-range order (LRO) and critical lines at which the gap and the LRO vanish. Using scaling estimations and a mean-field approach as well as numerical results we found critical indices of the gap and the LRO in the vicinity of critical lines.