Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder

Abstract

We study the ground-state phase diagram of a spin-$\frac{1}{2}$ frustrated XXZ ladder, in which two antiferromagnetic chains are coupled by competing rung and diagonal interactions, $J_{\perp }$ and $J_{\times }$. Previous studies on the isotropic model have revealed that a fluctuation-induced effective dimer attraction between the legs stabilizes the columnar dimer (CD) phase in the highly frustrated regime $J_{\perp }\approx 2J_{\times }$, especially for ferromagnetic $J_{\perp ,\times }<0$. By means of effective field theory and numerical analyses, we extend this analysis to the XXZ model, and obtain a rich phase diagram. The diagram includes four gapped featureless phases with no symmetry breaking: the rung singlet (RS) and Haldane phases as well as their twisted variants, the RS* and Haldane* phases, which are all distinct in the presence of certain symmetries. Significantly, the Haldane-CD transition point in the isotropic model turns out to be a crossing point of two transition lines in the XXZ model, and the stripe Néel and RS* phases appear between these lines. This indicates a nontrivial interplay between the effective dimer attraction and the exchange anisotropy. In the easy-plane regime, the four featureless phases and two critical phases are found to compete in a complex manner depending on the signs of $J_{\perp ,\times }$.

References in corpus (25)

• From density-matrix renormalization group to matrix product states
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• String order and symmetries in quantum spin lattices
• Ordering in spatially anisotropic triangular antiferromagnets
• Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Topological phases in ultracold polar-molecule quantum magnets
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Gapless quantum spin liquid and global phase diagram of the spin-1/2 $J_1$-$J_2$ square antiferromagnetic Heisenberg model
• Gapless spin liquid and valence-bond solid in the $J_1-J_2$ Heisenberg model on the square lattice: insights from singlet and triplet excitations
• Deconfined quantum critical point in one dimension
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
• Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Search for quantum dimer phases and transitions in a frustrated spin ladder
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy
• Resolving the Berezinskii-Kosterlitz-Thouless transition in the 2D XY model with tensor-network based level spectroscopy
• A model of chiral spin liquids with Abelian and non-Abelian topological phases
• Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction

Cited by in corpus (12)

• Entanglement swapping in critical quantum spin chains
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• Finite-size corrections to the energy spectra of gapless one-dimensional systems in the presence of boundaries
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Competition between dimerization and vector chirality in the spin-$3/2$ $J_1$-$J_2$ Heisenberg chain with uniaxial single-ion anisotropy
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Magnetic plateaus and jumps in a spin-1/2 ladder with alternate Ising-Heisenberg rungs: a field dependent study
• Exact quantization of topological order parameter in SU($N$) spin models, $N$-ality transformation and ingappabilities
• Covariance-based method for eigenstate factorization and generalized singlets
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
• Ising spin ladders of orthopyroxene CoGeO${}_3$