Exact thermodynamics and Luttinger liquid properties of the integrable t J model
Abstract
A TrotterSuzuki mapping is used to calculate the finitetemperature properties of the onedimensional 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 nonlinear 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 lowtemperature 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.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(96)00627X
 arXiv:
 arXiv:condmat/9611058
 Bibcode:
 1997NuPhB.487..650J
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Theory
 EPrint:
 27 pages, Latex, 9 PostScript figures, uses graphicx and amsmath