Critical Lines and Massive Phases in Quantum Spin Ladders with Dimerization

Abstract

We determine the existence of critical lines in dimerized quantum spin ladders in their phase diagram of coupling constants using the finite-size DMRG algorithm. We consider both staggered and columnar dimerization patterns, and antiferromagnetic and ferromagnetic inter-leg couplings. The existence of critical phases depends on the precise combination of these patterns. The nature of the massive phases separating the critical lines are characterized with generalized string order parameters that determine their valence bond solid (VBS) content.

9 pages 10 figures

References in corpus (11)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• New Trends in Density Matrix Renormalization
• Implementation of Spin Hamiltonians in Optical Lattices
• Phase Diagram of the 2-Leg Heisenberg Ladder with Alternating Dimerization
• DMRG study of the Bond Alternating \textbf{S}=1/2 Heisenberg ladder with Ferro-Antiferromagnetic couplings
• Ising-model description of the SU(2)_1 quantum critical point in a dimerized two-leg spin-1/2 ladder
• Excitation spectrum and ground state properties of the S=1/2 Heisenberg ladder with staggered dimerization

Cited by in corpus (12)

• Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection
• Numerical study of critical properties and hidden orders in dimerized spin ladders
• Berry phase investigation of spin-S ladders
• Spin 3/2 dimer model
• String and conventional order parameters in the solvable modulated quantum chain
• Twisted Order Parameter applied to Dimerized Ladders
• Constructing Landau framework for topological order: Quantum chains and ladders
• VBS State Induced by Impurity Frustration in Cr8Ni
• Competition between dimerization and vector chirality in the spin-$3/2$ $J_1$-$J_2$ Heisenberg chain with uniaxial single-ion anisotropy
• Brane order and quantum magnetism in modulated anisotropic ladders
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Plaquette Order in a Dimerized Frustrated Spin-Ladder