Melting of Ferromagnetic Order on a Trellis Ladder

Abstract

The ground state properties of a frustrated spin-1/2 system is studied on a trellis ladder which is composed of two zigzag ladders interacting through rung interactions. The presence of rung interaction between the zigzag ladders induces a non-magnetic ground state, although, each of zigzag ladders has ferromagnetic order in weak antiferromagnetic leg interaction limit. The rung interaction also generates rung dimers and opens spin gap which increases rapidly with rung interaction strength. The correlation between spins decreases exponentially with the distance between them.

References in corpus (23)

• The density-matrix renormalization group
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• New Trends in Density Matrix Renormalization
• NaV_2O_5 as a quarter-filled ladder compound
• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Evidence of a bond-nematic phase in LiCuVO4
• Exchange interactions and magnetic properties of the layered vanadates CaV2O5, MgV2O5, CaV3O7 and CaV4O9
• Quantum spin liquid in frustrated one dimensional LiCuSbO4
• Nearly critical ground state of LaCuO2.5
• Spin dynamics of SrCu${}_2$O${}_3$ and the Heisenberg ladder
• Magnetic properties of a S=1/2 zigzag spin chain compound (N_2H_5)CuCl_3
• Electronic structure and exchange interactions of the ladder vanadates CaV2O5 and MgV2O5
• Influence of an inter-chain coupling on spiral ground-state correlations in frustrated spin-1/2 J1-J2 Heisenberg chains
• Modified DMRG algorithm for the zigzag spin-1/2 chain with frustrated antiferromagnetic exchange: Comparison with field theory at large $J_2/J_1$
• Bond-order wave phase, spin solitons and thermodynamics of a frustrated linear spin-1/2 Heisenberg antiferromagnet
• Quantum Monte Carlo Simulation of the Trellis Lattice Heisenberg Model for SrCu${}_2$O${}_3$ and CaV${}_2$O${}_5$
• Numerical study of incommensurate and decoupled phases of spin-1/2 chains with isotropic exchange J1, J2 between first and second neighbors
• Phase Diagram of the S = 1/2 Frustrated Coupled Ladder System
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• Ground-state phase diagram of the frustrated spin-1/2 two-leg honeycomb ladder

Cited by in corpus (2)

• Quantum phase diagram of a frustrated spin-1/2 system on a Trellis Ladder
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice