Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
arXiv:0708.2338 · doi:10.1143/JPSJ.77.014709
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.
18pages, 7 figures
References in corpus (6)
- Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
- Multi-magnon bound states in the frustrated ferromagnetic 1D chain
- Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
- Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
- Octupolar order in the multiple spin exchange model on a triangular lattice
- Spin coupling in zigzag Wigner crystals
Cited by in corpus (9)
- 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
- Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
- Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
- Dynamics in two-leg spin ladder with a four-spin cyclic interaction
- Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange
- Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
- Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction