Attractive smooth electron-electron interaction generated by phonons in the Fr\"olich Hamiltonian model can be stabilized by the addition of smooth repulsive interaction (like a screened Coulomb repulsion). The thermodynamic limit can be shown to exist in the low densit high temperature regimes. The case of non smoth interactions can also be treated in two-dimensional systems and stability achieved by the addition of a hard core interaction of arbitrarily small radius
Statistical Mechanics of the electron--phonon system / Gallavotti, Giovanni; J., Ginibre; G., Velo. - In: LETTERE AL NUOVO CIMENTO. - ISSN 0024-1318. - STAMPA. - 4:(1970), pp. 1293-1297. [10.1007/BF02753769]
Statistical Mechanics of the electron--phonon system
GALLAVOTTI, Giovanni;
1970
Abstract
Attractive smooth electron-electron interaction generated by phonons in the Fr\"olich Hamiltonian model can be stabilized by the addition of smooth repulsive interaction (like a screened Coulomb repulsion). The thermodynamic limit can be shown to exist in the low densit high temperature regimes. The case of non smoth interactions can also be treated in two-dimensional systems and stability achieved by the addition of a hard core interaction of arbitrarily small radiusI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
