Exact results related to the extended Hubbard model with increased interaction range in D > 1 dimensions

Péter Gurin, Z. Gulácsi

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Abstract

Exact results related to extended Hubbard model containing couplings up to next-nearest-neighbour terms were deduced for restricted regions of parameter space in arbitrary D > 1 dimensions at half-filling and T = 0 temperature. Different types of commensurate charge-density waves and spin-density waves, a ferromagnetic domain and a phase separation region were found, the last being for the first time signalled at the level of approximation-free results in dimensions higher than one. In connection with other presented phases we extended their stability domains in comparison with previously published data. The deduced phase diagram is complete in the localized limit. The dependences on the interaction range and dimension were studied. The obtained results emphasize the importance of next-nearest neighbour terms in the development of ordered phases within the studied system.

Original languageEnglish
Pages (from-to)315-327
Number of pages13
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume78
Issue number3
Publication statusPublished - Sep 1998

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ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Physics and Astronomy(all)

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