Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-07-19
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, 14 figures
Scientific paper
10.1103/PhysRevB.77.024407
The thermodynamics of low dimensional spin-1/2 Heisenberg ferromagnets (HFM) in an external magnetic field is investigated within a second-order two-time Green function formalism in the wide temperature and field range. A crucial point of the proposed scheme is a proper account of the analytical properties for the approximate transverse commutator Green function obtained as a result of the decoupling procedure. A good quantitative description of the correlation functions, magnetization, susceptibility, and heat capacity of the HFM on a chain, square and triangular lattices is found for both infinite and finite-sized systems. The dependences of the thermodynamic functions of 2D HFM on the cluster size are studied. The obtained results agree well with the corresponding data found by Bethe ansatz, exact diagonalization, high temperature series expansions, and quantum Monte Carlo simulations.
Antsygina T. N.
Chishko K. A.
Poltavskaya M. I.
Poltavsky I. I.
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