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- Seitenbereich
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0778 - 0804
- Schlagwort(e)
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<KWD>Incommensurate Phases
Charge Density Waves
Infinite Dimensions
- Zusammenfsg.
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The phase diagram of the model of spinless fermions with repulsive nearest neighbour interaction is calculated analytically on a hypercubic lattice in infinite dimensions (<I>d</I> → ∞). In spite of its simplicity the model displays a rich phase diagram depending on the doping δ, the interaction <I>U</I> and the temperature <I>T</I>. 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 <I>U</I><sub>IPL</sub> = 0.572 < <I>U</I><sub>IPH</sub> = 1.914 < <I>U</I><sub>IP/PS</sub> = 4.212 which distinguish four intervals of <I>U</I>. These imply four different types of phase diagrams. In all the three phase diagrams with <I>U</I> below <I>U</I><sub>IP/PS</sub> the IP appears. We propose a <I>new</I> general ansatz for the order parameter of this phase. A competition between the IP, the PS-AB/IP and the PS-AB/HOM is found. The relevance of our findings for the phase scenario of the Hubbard model is shown.
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