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High-Density Expansion for the Spinless Fermion Model II: Second and Third Order in 1/z
Linköping University, Department of Physics, Chemistry and Biology. Linköping University, The Institute of Technology. A. Mickiewicz University, Poznań, Poland.
Linköping University, Department of Physics, Chemistry and Biology. Linköping University, The Institute of Technology.
Linköping University, Department of Physics, Chemistry and Biology. Linköping University, The Institute of Technology.
1988 (English)In: International Journal of Modern Physics B, ISSN 0217-9792, Vol. 2, no 03-04, 521-536 p.Article in journal (Refereed) Published
Abstract [en]

The selfconsistent high-density expansion for thermodynamic quantities of the quantum spin-polarized fermion lattice gas, derived in the preceding paper, is extended to higher orders. The (1/z)2terms in the free energy are evaluated by summing two-loop diagrams and the corresponding equation for critical temperature in the classical limit is discussed. Ground state phase diagram of the system for arbitrary electron density is derived in the first and second order of the expansion. Properties of the half-filled, one-dimensional spinless fermion model at T = 0, obtained here in the first three orders in 1/z, are compared with the results of exact calculations and of other approximate methods. This provides a test for the unrenormalized high-density expansion method.

Place, publisher, year, edition, pages
World Scientific Publishing , 1988. Vol. 2, no 03-04, 521-536 p.
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-105954DOI: 10.1142/S0217979288000354OAI: oai:DiVA.org:liu-105954DiVA: diva2:712588
Available from: 2014-04-15 Created: 2014-04-15 Last updated: 2017-12-05Bibliographically approved

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Münger, Peter

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