Zero and Finite Temperature Phase Diagram of the Spinless Fermion Model in Infinite Dimensions

Physics – Condensed Matter

Scientific paper

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26 pages, latex, uuencoded compressed postscript files, 11 figures included; accepted by Annalen der Physik, Heidelberg; key w

Scientific paper

10.1002/andp.19955070805

The phase diagram of the model of spinless fermions with repulsive nearest neighbour interaction is calculated analytically on a hypercubic lattice in infinite dimensions $(d\to \infty)$. In spite of its simplicity the model displays a rich phase diagram depending on the doping $\delta$, the interaction $U$ and the temperature $T$. The system can be in the homogeneous phase (HOM), the nonsegregated AB charge density wave (AB-CDW), the AB phase separation region (PS-AB/HOM; coexistence of AB-CDW and HOM), the incommensurate phase (IP) or the IP phase separation region (PS-AB/IP; coexistence of AB-CDW and IP). We identify three important values of the interaction $U_{IPL}=0.572< U_{IPH}=1.914

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