Münster 1997 – scientific programme
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TT: Tiefe Temperaturen
TT 17: Korrelierte Systeme II
TT 17.6: Talk
Thursday, March 20, 1997, 16:00–16:15, F3
Exakte Thermodynamik des integrablen t−J Modells und Luttinger-Flüssigkeits-Eigenschaften — •G. Jüttner1, A. Klümper1, and J. Suzuki2 — 1Universität zu Köln, Institut für Theoretische Physik, Zülpicher Str. 77, D-50937 — 2Institute of Physics, University of Tokyo at Komaba
A Trotter-Suzuki mapping is used to calculate the finite-temperature properties of the one-dimensional supersymmetric t−J model. This approach allows for the exact calculation of various thermodynamical properties by means of the quantum transfer matrix (QTM). The free energy and other interesting quantities are obtained such as the specific heat and compressibility. For the largest eigenvalue of the QTM leading to the free energy a set of just two non-linear integral equations is presented. These equations are studied analytically and numerically for different particle densities and temperatures. The structure of the specific heat is discussed in terms of the elementary charge as well as spin excitations. Special emphasis is placed on the study of the low-temperature behavior confirming scaling predictions by conformal field theory and Luttinger liquid theory. To our knowledge this is the first complete investigation of a strongly correlated electron system on a lattice at finite temperature.