406 citations · 1.6k across the 15 of their papers we have counts for
15 papers
Derivation of the free energy, entropy and specific heat for planar Ising models: Application to Archimedean lattices and their duals
Laurent Pierre, Bernard Bernu, Laura Messio
The 2d ferromagnetic Ising model was solved by Onsager on the square lattice in 1944, and an explicit expression of the free energy density is presently available for some othe…
High temperature series expansions of S = 1/2 Heisenberg spin models: algorithm to include the magnetic field with optimized complexity
Laurent Pierre, Bernard Bernu, Laura Messio
This work presents an algorithm for calculating high temperature series expansions (HTSE) of Heisenberg spin models with spin in the thermodynamic limit. This algorithm acc…
Finite-temperature phase transitions in three-dimensional Heisenberg magnets from high-temperature series expansions
M. G. Gonzalez, B. Bernu, L. Pierre +1
Many frustrated spin models on three-dimensional (3D) lattices are currently being investigated, both experimentally and theoretically, and develop new types of long-range orders i…
Ground-state and thermodynamic properties of the spin- Heisenberg model on the anisotropic triangular lattice
Matías G. Gonzalez, Bernard Bernu, Laurent Pierre +1
The spin- triangular lattice antiferromagnetic Heisenberg model has been for a long time the prototypical model of magnetic frustration. However, only very recently this m…
Logarithmic divergent specific heat from high-temperature series expansions: application to the two-dimensional XXZ Heisenberg model
M. G. Gonzalez, B. Bernu, L. Pierre +1
We present an interpolation method for the specific heat , when there is a phase transition with a logarithmic singularity in at a critical temperature . The m…
Effect of perturbations on the kagome antiferromagnet at all temperatures
Bernard Bernu, Laurent Pierre, Karim Essafi +1
The ground state of the kagome Heisenberg antiferromagnet is now recognized as a spin liquid, but its precise nature remains unsettled, even if more and more clues point to…