A large variety of materials can be approximately described by means of spin-1/2 Heisenberg ladders. Here, the Density Matrix Renormalization Group algorithm together with a previously established numerical self-consistent mean-field approximation is used to investigate the magnetic properties of spin ladders coupled in a second dimension. The full ground-state phase diagram including spin-gapped, antiferromagnetic, ferrimagnetic, and fully polarized phases is presented as a function of interladder and intraladder coupling and magnetic field. Measurement of the dependence of magnetization on applied magnetic field is shown to enable location of a material on the phase diagram and determination of the Hamiltonian parameters. These results provide a practical route toward identifying and characterizing magnetic materials composed of coupled spin ladders.

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• Antiferromagnetism
• Magnetism
• Phase diagrams
• 1-dimensional systems
• Magnetization measurements
• Mean field theory
• Spin ladders
• Tensor network methods