Exact dimer phase with anisotropic interaction for one dimensional magnets

Understand

We report the exact dimer phase, in which the ground states are described by product of singlet dimer, in the extended XYZ model by generalizing the isotropic Majumdar-Ghosh model to the fully anisotropic region.

• We demonstrate that this phase can be realized even in models when antiferromagnetic interaction along one of the three directions.
• This model also supports three different ferromagnetic (FM) phases, denoted as $x$-FM, $y$-FM and $z$-FM, polarized along the three directions.
• The boundaries between the exact dimer phase and FM phases are infinite-fold degenerate.