Abstract | ||
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The transition of molecular crystals into a polar state is modeled by a one-dimensional Ising Hamiltonian in multipole expansion and a suitable order parameter. Two symmetry breakings are necessary for the transition: the translational and the spin flip invariance-the former being broken by geometric constraints, the latter by the interaction of the first non-zero multipole with the next order multipole. Two different behaviors of the thermal average of the order parameter as a function of position are found. The free energy per lattice site converges to a finite value in the thermodynamic limit showing the consistency of the model in a macroscopic representation. |
Year | DOI | Venue |
---|---|---|
2016 | 10.3390/sym8030010 | SYMMETRY-BASEL |
Keywords | Field | DocType |
Ising model,polarity,symmetry breaking,multipole expansion | Multipole expansion,Explicit symmetry breaking,Symmetry breaking,Hamiltonian (quantum mechanics),Lattice (order),Thermodynamic limit,Distributed multipole analysis,Ising model,Condensed matter physics,Physics | Journal |
Volume | Issue | ISSN |
8 | 3.0 | 2073-8994 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Luigi Cannavacciuolo | 1 | 0 | 0.34 |
Jürg Hulliger | 2 | 0 | 0.34 |