Specific heat and high-temperature series of lattice models: Interpolation scheme and examples on quantum spin systems in one and two dimensions

@article{Bernu2001SpecificHA,
  title={Specific heat and high-temperature series of lattice models: Interpolation scheme and examples on quantum spin systems in one and two dimensions},
  author={B. Bernu and G. Misguich},
  journal={Physical Review B},
  year={2001},
  volume={63},
  pages={134409}
}
  • B. Bernu, G. Misguich
  • Published 2001
  • Physics
  • Physical Review B
  • We have developed a method for evaluating the specific heat of lattice spin systems. It is based on the knowledge of high-temperature series expansions, the total entropy of the system, and the low-temperature expected behavior of the specific heat as well as the ground-state energy. By the choice of an appropriate variable (entropy as a function of energy), a stable interpolation scheme between low and high temperature is performed. Contrary to previous methods, the constraint that the total… CONTINUE READING
    51 Citations

    Figures and Tables from this paper

    Matrix product state techniques for two-dimensional systems at finite temperature
    • 12
    • Highly Influenced
    • PDF

    References

    SHOWING 1-10 OF 26 REFERENCES
    Quantum spin ladders at T=0 and at high temperatures studied by series expansions.
    • 35
    • PDF
    Ground-state correlations of quantum antiferromagnets: A Green-function Monte Carlo study.
    • 122
    • Highly Influential
    Finite-lattice expansion for quantum spin chains.
    • 3
    Eur. Phys. J. B Phys. Rev. Lett
    • Eur. Phys. J. B Phys. Rev. Lett
    • 1998
    Statistical Mechanics of the Anisotropic Linear Heisenberg Model
    • 463
    A 7, L171 ͑1974͒. 12 H.W. Blöte, Physica B & C 79, 427 ͑1975͒. 13 M
    • 3562 ͑1991͒. 15 In particular, they prevent the heat capacity from diverging in an unphysical way at low temperature, as it is often the case in the standard Padé approach where spurious poles can appear on the real axis