Phase diagram of the frustrated spin ladder

Abstract

We re-visit the phase diagram of the frustrated spin-1/2 ladder with two competing inter-chain antiferromagnetic exchanges, rung coupling J_\perp and diagonal coupling J_\times. We suggest, based on the accurate renormalization group analysis of the low-energy Hamiltonian of the ladder, that marginal inter-chain current-current interaction plays central role in destabilizing previously predicted intermediate columnar dimer phase in the vicinity of classical degeneracy line J_\perp = 2J_\times. Following this insight we then suggest that changing these competing inter-chain exchanges from the previously considered antiferromagnetic to the ferromagnetic ones eliminates the issue of the marginal interactions altogether and dramatically expands the region of stability of the columnar dimer phase. This analytical prediction is convincingly confirmed by the numerical density matrix renormalization group and exact diagonalization calculations as well as by the perturbative calculation in the strong rung-coupling limit. The phase diagram for ferromagnetic J_\perp and J_\times is determined.

12 pages, 12 figures, 1 Table. v2: version to appear in Phys. Rev. B

References in corpus (9)

• New Trends in Density Matrix Renormalization
• Confinement of fractional quantum number particles in a condensed matter system
• Wigner crystal physics in quantum wires
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders
• Condensation of magnons and spinons in a frustrated ladder
• Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
• Search for quantum dimer phases and transitions in a frustrated spin ladder

Cited by in corpus (36)

• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Chiral Spin Liquids in Arrays of Spin Chains
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
• Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• Second-order quantum corrections for the frustrated, spatially anisotropic, spin-1/2 Heisenberg antiferromagnet on a square lattice
• Spin liquid versus dimer phases in an anisotropic J1-J2 frustrated square antiferromagnet
• Amplitude Mode in Quantum Magnets via Dimensional Crossover
• Emergent quasi-one-dimensionality in a kagomé magnet: A simple route to complexity
• The incarnation of the Nersesyan-Tsvelik model in (NO)[Cu(NO3)3]
• On the dimerized phase in the cross-coupled antiferromagnetic spin ladder
• Intrinsic Jump Character of the First-Order Quantum Phase Transitions
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• Competing phases in spin ladders with ring exchange and frustration
• Topological Phases of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain with Frustrated Next-Nearest-Neighbour Interaction
• Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings
• Symmetry-protected topological phases in two-leg SU(N) spin ladder with unequal spins
• Ground-state phase diagram of the frustrated spin-1/2 two-leg honeycomb ladder
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• Constructing Landau framework for topological order: Quantum chains and ladders
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• The antiferromagnetic cross-coupled spin ladder: quantum fidelity and tensor networks approach
• Abundant quadrupolar or nematic phases driven by the Heisenberg interactions in a spin-1 dimer system forming a bilayer
• Coexistence of spontaneous dimerization and magnetic order in a transverse-field Ising ladder with four-spin interactions
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Phase diagram of a frustrated asymmetric ferromagnetic spin ladder
• Mixed-spin Heisenberg ladders in a magnetic field
• Quantum order by disorder in Frustrated Spin Nanotubes
• Modified Spin Wave Analysis of Low Temperature Properties of Spin-1/2 Frustrated Ferromagnetic Ladder
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Plaquette Order in a Dimerized Frustrated Spin-Ladder
• The behavior of the entanglement entropy in interacting quasi-1D systems and its consequences for their efficient numerical study
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
• Asymptotic freedom, lost: Complex conformal field theory in the two-dimensional $O(N>2)$ nonlinear sigma model and its realization in Heisenberg spin chains