Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange

Abstract

We investigate the competition between different orders in the two-leg spin ladder with a ring-exchange interaction by means of a bosonic approach. The latter is defined in terms of spin-1 hardcore bosons which treat the Néel and vector chirality order parameters on an equal footing. A semiclassical approach of the resulting model describes the phases of the two-leg spin ladder with a ring-exchange. In particular, we derive the low-energy effective actions which govern the physical properties of the rung-singlet and dominant vector chirality phases. As a by-product of our approach, we reveal the mutual induction phenomenon between spin and chirality with, for instance, the emergence of a vector-chirality phase from the application of a magnetic field in bilayer systems coupled by four-spin exchange interactions.

15 pages, 9 figures

References in corpus (16)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Octupolar order in the multiple spin exchange model on a triangular lattice
• An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
• Exotic Gapless Mott Insulators of Bosons on Multi-Leg Ladders
• Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
• Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Edge states of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• On the spin-liquid phase of one dimensional spin-1 bosons
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin 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
• Circulating Current States in Bilayer Fermionic and Bosonic Systems