Search for quantum dimer phases and transitions in a frustrated spin ladder

Abstract

A two-leg spin-1/2 ladder with diagonal interactions is investigated numerically. We focus our attention on the possibility of columnar dimer phase, which was recently predicted based on a reformulated bosonization theory. By using density matrix renormalization group technique and exact diagonalization method, we calculate columnar dimer order parameter, spin correlation on a rung, string order parameters, and scaled excitation gaps. Carefully using various finite-size scaling techniques, our results show no support for the existence of columnar dimer phase in the spin ladder under consideration.

5 pages, 4 figures. To be published in Phys. Rev. B

References in corpus (5)

• Dimerization in a half-filled one-dimensional extended Hubbard model
• Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
• Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
• Comment on ``Ground State Phase Diagram of a Half-Filled One-Dimensional Extended Hubbard Model''

Cited by in corpus (4)

• Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Effect of temperature on quantum criticality in the frustrated two-leg Heisenberg ladder
• Energy-level ordering and ground-state quantum numbers for frustrated two-leg spin-1/2 ladder model