Condensed Matter Physics, 2013, vol. 16, No. 1, 13601
DOI:10.5488/CMP.16.13601           arXiv:1303.5537

Title: Ground state of a spin-1/2 Heisenberg-Ising two-leg ladder with XYZ intra-rung coupling
  T. Verkholyak (Institute for Condensed Matter Physics, NAS of Ukraine, 1 Svientsitskii Street, 79011 Lviv, Ukraine)
  J. Strečka (Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic)

The quantum spin-1/2 two-leg ladder with an anisotropic XYZ Heisenberg intra-rung interaction and Ising inter-rung interactions is treated by means of a rigorous approach based on the unitary transformation. The particular case of the considered model with X-X intra-rung interaction resembles a quantum compass ladder with additional frustrating diagonal Ising interactions. Using an appropriately chosen unitary transformation, the model under investigation may be reduced to a transverse Ising chain with composite spins, and one may subsequently find the ground state quite rigorously. We obtain a ground-state phase diagram and analyze the interplay of the competition between several factors: the XYZ anisotropy in the Heisenberg intra-rung coupling, the Ising interaction along the legs, and the frustrating diagonal Ising interaction. The investigated model shows extraordinarily diverse ground-state phase diagrams including several unusual quantum ordered phases, two different disordered quantum paramagnetic phases, as well as discontinuous or continuous quantum phase transitions between those phases.

Key words: quantum spin ladder; exact results; ground state; quantum phase transitions
PACS: 05.30.Rf; 75.10.Jm

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