Scalar chiral ground states of spin ladders with four-spin exchanges

Abstract

We show that scalar chiral order can be induced by four-spin exchanges in the two-leg spin ladder, using the spin-chirality duality transformation and matrix-product ansatz. Scalar-chiral-ordered states are found to be exact ground states in a family of spin ladder models. In this scalar chiral phase, there is a finite energy gap above the doubly degenerate ground states and a $Z_2\times Z_2\times Z_2$ symmetry is fully broken. It is also shown that the SU(4)-symmetric model, which is self-dual under the duality transformation, is on a multicritical point surrounded by the staggered dimer phase, the staggered scalar chiral phase, and the gapless phase.

8 pages, 2 figures, to appear in Phys. Rev. B

References in corpus (1)

• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange

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