Frustrated plane-polarized dipoles in one dimension

We investigate the zero-temperature quantum phases of a quasi-one-dimensional zigzag chain of dipoles that are polarized in a plane by an external electric field. Since the Hamiltonian contains nearest-neighbor (NN) and next-nearest-neighbor (NNN) hopping and interaction terms, this model allows frustration which induces phases that can be interesting and unusual. By using the density matrix renormalization group (DMRG) algorithm, we produce a complex phase diagram. This is an extension of an earlier work by Wang et. al. [Phys. Rev. A 96, 043615 (2017)].