An overview on the phase diagram of the frustrated two-leg ladder model

Abstract

Using Density-Matrix Renormalization Group, we investigate the general phase diagram of the frustrated two-leg ladder with Heisenberg interactions along legs, rungs and diagonals. We confirm that all antiferromagnetic gapped states belong to the same universality class as the Haldane phase. In a three-dimensional phase diagram, we determine a continuous surface with singularities in the string-order parameter or its first derivative, corresponding to a transition between two Haldane phases with different topological order. Some parts of this transition surface are critical with zero gap and vanishing string-order parameter. In the complementary parts, the transition is first order with finite gap and string order. The boundary of this surface with the ferromagnetic region is a critical end line, when the surface is critical and a triple line anywhere else. Part of this boundary coincides with the exactly soluble model proposed by D.V. Dmitriev, V. Ya Krivnov and A.A. Ovchinnikov [Phys. Rev. B 56, 5985 (1997)].

RevTex, 19 pages with 24 figures

References in corpus (3)

• Exact ground states for a class of one-dimensional frustrated quantum spin models
• Phase Diagram of the 2-Leg Heisenberg Ladder with Alternating Dimerization
• Exactly solvable spin ladder model with degenerate ferromagnetic and singlet states

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