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Research talks;Mathematical Physics

We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S= 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy at low temperatures. The proof combines a bosonic representation of the model introduced by Holstein and Primakoff with probabilistic estimates, localization bounds and functional inequalities.
Joint work with Michele Correggi and Alessandro Giuliani
We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S= 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy at low temperatures. The proof combines a bosonic representation of the model introduced by Holstein and Primakoff with probabilistic estimates, localization bounds and functional ...

82D05 ; 82D40 ; 82D45 ; 82B10

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- 290 p.

Heidelbergter Taschenbücher , 0019

Localisation : Ouvrage RdC (SOMM)

effet thermoélectrique # ferromagnétisme # galvanomagnétisme # mécanique statistique # métaux # physique # théorie électronique des métaux # électromagnétisme

78A55 ; 82-XX ; 82D35 ; 82D40 ; 82D45

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