Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1997-10-27
Physics
Condensed Matter
Strongly Correlated Electrons
Revtex, 10 pages, 6 figures (postscript)
Scientific paper
10.1103/PhysRevB.57.7740
By combining conventional finite-temperature many-body perturbation theory with cluster expansions, we develop a systematic method to carry out high order arbitrary temperature perturbative calculations on the computer. The method is well suited to studying the thermodynamic properties of quantum disordered and quantum critical phases at finite temperatures. As an application, we calculate the magnetic susceptibility, internal energy and specific heat of the bilayer Heisenberg model. It is shown that for a wide range of coupling constants these expansions show excellent convergence at all temperatures. Comparing the direct series (without extrapolations) for the bulk susceptibility to Quantum Monte Carlo simulations we find an almost perfect agreement between the two methods even at the quantum critical coupling separating the dimerized and antiferromagnetic phases. The convergence fails only at very low temperatures, which are also difficult to reach by Quantum Monte Carlo simulations.
Elstner Norbert
Singh Rajiv R. P.
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