2009/02/06 by L. Tincani, R. M. Noack, D. Baeriswyl · 2 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Coupling (piping) #Hubbard model #Ion #Ionic bonding #Ising model #Materials science #Mathematics #Mean field theory #Mott insulator #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization group #Scaling #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.79.165109
13 pages, 12 figures
arxiv created 2009/02/06 · openalex publication_date 2009/04/17 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the neutral-to-ionic insulator-insulator transition in one-dimensional materials by treating a strong-coupling effective model based on the ionic Hubbard model using the density-matrix renormalization group and finite-size scaling. The effective model, formulated in a spin-one representation, contains a single parameter. We carry out an extensive finite-size scaling analysis of the relevant gaps and susceptibilities to characterize the two zero-temperature transitions. We find that the transition from the ionic band-insulating phase to an intermediate spontaneously dimerized phase is Ising, and the transition from the dimerized phase to the Mott-insulating phase is Kosterlitz-Thouless, in agreement with the field-theory-based predictions.