PHASE TRANSITIONS IN SMALL AND LONG-RANGE INTERACTING SYSTEMS.

Kazumoto Iguchi

We conceptually study the existence of four distinct quantum phases: the Luttinger liquid, the Wigner crystal, the Coulomb plasma and the molecular crystal in one-dimensional many-body systems with long-range interaction. We show that the anomaly of the ground state wavefunction indicates a quantum Kosterlitz–Thouless transition at zero temperature, which separates into two regimes of the Luttinger liquid and the Wigner crystal. We also postulate a scaling theory which discriminate the four phases using the Kosterlitz–Thouless scaling theory.

Carol K. Hall

Alexander Alexandrovich Biryukov, И. В. Дегтярева, Марк Александрович Шлеенков

In this article phase transitions in the modified two-dimensional Ising model with long-range correlations investigated. This model was studied with Monte-Carlo method and Metropolis algorithm. Critical temperature increase is shown in such model.

Ph. Chomaz, Veronique DUFLOT, Francesca Gulminelli

J. D. Gunton