Rung-singlet phase of the S=1/2 two-leg spin-ladder with four-spin cyclic exchange

Abstract

Using continuous unitary transformations (CUT) we calculate the one-triplet gap for the antiferromagnetic S=1/2 two-leg spin ladder with additional four-spin exchange interactions in a high order series expansion about the limit of isolated rungs. By applying a novel extrapolation technique we calculate the transition line between the rung-singlet phase and a spontaneously dimerized phase with dimers on the legs. Using this efficient extrapolation technique we are able to analyze the crossover from strong rung coupling to weakly coupled chains.

4 pages, 4 figures included, submitted to Phys Rev B

References in corpus (3)

• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Perturbation theories for the S=1/2 spin ladder with four-spin ring exchange
• Charge order induced sharp Raman peak in Sr_14Cu_24O_41

Cited by in corpus (24)

• Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
• Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
• Flow Equations and Normal Ordering. A Survey
• High Order Perturbation Theory for Spectral Densities of Multi-Particle Excitations: S=1/2 Two-Leg Heisenberg Ladder
• Dimerization transitions in spin-1 chains
• Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder
• Quantum phase transitions in multileg spin ladders with ring exchange
• Spectral properties of the dimerized and frustrated $S=1/2$ chain
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Raman Response of Magnetic Excitations in Cuprate Ladders and Planes
• Staggered dimer order in S=1/2 quantum spin ladder system with four spin exchange
• Neutron scattering from a coordination polymer quantum paramagnet
• 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
• Finite Temperature Dynamics of the Spin 1/2 Bond Alternating Heisenberg Antiferromagnetic Chain
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Competing phases in spin ladders with ring exchange and frustration
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Ground-state phase diagram of the frustrated spin-1/2 two-leg honeycomb ladder
• Doped two-leg ladder with ring exchange
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
• Vertex corrections in the dynamic structure factor in spin ladders
• Dynamics in two-leg spin ladder with a four-spin cyclic interaction
• Two-Dimensionality of Magnetic Excitations on the Trellis Lattice: (La,Sr,Ca)${}_{14}$Cu${}_{24}$O${}_{41}$ and SrCu${}_2$O${}_3$