Twisted Order Parameter applied to Dimerized Ladders

Abstract

We apply the twisted order parameter (TOP) for dimerized quantum spin ladders to locate the critical phases that separate gapped phases representing quantum spin liquids of various types. Using the DMRG, method we find that the TOP is a good order parameter for these systems regardless the number of legs. As a check, we reproduce with DMRG and periodic boundary conditions the computations previously done with Quantum Montecarlo for one-dimensional S=1/2, S=1, S=3/2 and S=2 Heisenberg chains with alternating bonds.

Revtex4 file, color figures

References in corpus (17)

• 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
• Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
• Quantum Criticality in Dimerized Spin Ladders
• 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
• Spin-Peierls instability in the three-leg Heisenberg ladder
• Excitation spectrum and ground state properties of the S=1/2 Heisenberg ladder with staggered dimerization
• Critical Lines and Massive Phases in Quantum Spin Ladders with Dimerization
• Novel Order Parameter to Characterize Valence-Bond-Solid States
• Quantum phase transitions of spin chiral nanotubes

Cited by in corpus (8)

• 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
• String and conventional order parameters in the solvable modulated quantum chain
• Constructing Landau framework for topological order: Quantum chains and ladders
• VBS State Induced by Impurity Frustration in Cr8Ni
• Brane order and quantum magnetism in modulated anisotropic ladders
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit