https://doi.org/10.1007/s100510070206
High temperature expansion for frustrated and unfrustrated S=1/2 spin chains
1
Institut für Theoretische Physik, Universität zu
Köln, Zülpicher Str. 77, 50937 Köln, Germany
2
Physikalisches Institut,
Universität Bonn,
Nußallee 12, 53115 Bonn, Germany
Corresponding authors: a ab@thp.uni-koeln.de - b norbert@brahms.physik.uni-bonn.de - c gu@thp.uni-koeln.de
Received:
24
February
2000
Revised:
5
April
2000
Published online: 15 August 2000
A computer aided high temperature expansion of the magnetic susceptibility and the magnetic specific heat is presented and demonstrated for frustrated and unfrustrated spin chains. The results are analytic in nature since the calculations are performed in the integer domain. They are provided in the form of polynomials allowing quick and easy fits. Various representations of the results are discussed. Combining high temperature expansion coefficients and dispersion data yields very good agreement already in low order of the expansion which makes this approach very promising for the application to other problems, for instance in higher dimensions.
PACS: 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 75.40.Cx – Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.) / 75.10.Jm – Quantized spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000