Effect of coulomb long range interactions on the Mott transition.pdfVIP

Effect of coulomb long range interactions on the Mott Transition R. Chitra and G. Kotliar Serin Physics Laboratory, Rutgers University, Piscataway, NJ 08855, USA (February 1, 2008) 9 We reconsider the Mott transition problem in the presence of long range Coulomb interactions. 9 Using an extended DMFT, that sums an important class of diagrams absent in ordinary DMFT, we 9 show that in the presence of Coulomb the Mott transition in two and three dimensions is discontin- 1 uous as envisioned by Mott. r PACS numbers: 71.30+h a M The study of Metal Insulator transitions [1] (MIT) seen a kink in the free energy, the transition is discontinuous in a host of interacting electronic systems, has been one and first order. For an illuminating discussion of these 1 1 of the most challenging problems in solid state physics. ideas see Ref. [6]. These transitions can result from simple band structure ] or from electronic correlations. The former occurs even In contrast, various studies of the Hubbard model l [3,5,7] indicate that the transition is continuous. The e in nearly non-interacting systems if the conduction and - Hubbard model for interacting electrons has long been r valence bands split as some parameter like composition t