Multiple magnetization plateaus induced by farther neighbor interaction in an $S=1$ two-leg Heisenberg spin ladder

Abstract

We study the magnetization process of the $S=1$ Heisenberg model on a two-leg ladder with farther neighbor spin-exchange interaction. We consider the interaction that couples up to the next-nearest neighbor rungs and find an exactly solvable regime where the ground states become product states. The next-nearest neighbor interaction tends to stabilize magnetization plateaus at multiples of 1/6. In most of the exactly solvable regime, a single magnetization curve shows two series of plateaus with different periodicities.

8 pages, 5 figures

References in corpus (4)

• The density-matrix renormalization group in the age of matrix product states
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
• Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
• Exact magnetization plateaus and phase transitions in spin-S Heisenberg antiferromagnets in arbitrary dimensions

Cited by in corpus (2)

• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain