Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange

Abstract

We study the spin-1/2 two-leg Heisenberg ladder with four-spin ring exchanges under a magnetic field. We introduce an exact duality transformation which is an extension of the spin-chirality duality developed previously and yields a new self-dual surface in the parameter space. We then determine the magnetic phase diagram using the numerical approaches of the density-matrix renormalization-group and exact diagonalization methods. We demonstrate the appearance of a magnetization plateau and the Tomonaga-Luttinger liquid with dominant vector-chirality quasi-long-range order for a wide parameter regime of strong ring exchange. A "nematic" phase, in which magnons form bound pairs and the magnon-pairing correlation functions dominate, is also identified.

arXiv comment18pages, 7 figures

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Cited by in corpus (14)

• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Topological Order Parameters of the Spin-1/2 Dimerized Heisenberg Ladder in Magnetic Field
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
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• Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction