# 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} }

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

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#### References

SHOWING 1-10 OF 26 REFERENCES

Quantum spin ladders at T=0 and at high temperatures studied by series expansions.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1996

35- PDF

Ground-state correlations of quantum antiferromagnets: A Green-function Monte Carlo study.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1990

122 Highly Influential

Order versus disorder in the quantum Heisenberg antiferromagnet on the kagomé lattice using exact spectra analysis

- Physics
- 1997

177- PDF

Finite temperature properties of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice.

- Physics, Medicine
- Physical review letters
- 1993

101- PDF

Finite-lattice expansion for quantum spin chains.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1990

3

Eur. Phys. J. B Phys. Rev. Lett

- Eur. Phys. J. B Phys. Rev. Lett
- 1998

Thermodynamic properties of the two-dimensional spin-1/2 Heisenberg antiferromagnet at finite temperature: A finite-cluster-expansion approach.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1992

5

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