Some properties of frustrated spin systems: extensions and applications of Lieb-Schupp approach

J. Wojtkiewicz ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 44, issue 4, 501-507

Abstract: Lieb and Schupp have obtained a number of ground-state properties for frustrated Heisenberg models. The basic tool used was certain version of “spin-reflection positivity” method. One group of these results is related to singlet nature of ground state. It needs an assumption of reflection symmetry present in the system. In this paper, it is shown that analogous results hold also for other symmetries (inversion etc.). The second Lieb-Schupp result is matrix inequality, which imply inequalities between ground-state energies of certain systems. In the paper, the Lieb-Schupp inequality is applied to relate ground-state energies of various systems: spin chains, ladders and multidimensional lattices. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Date: 2005
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2005-00150-3 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:44:y:2005:i:4:p:501-507

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2005-00150-3

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().