RIGOROUS BOUNDS ON THE FREE-ENERGY OF ELECTRON-PHONON MODELS

Citation
H. Deraedt et al., RIGOROUS BOUNDS ON THE FREE-ENERGY OF ELECTRON-PHONON MODELS, International journal of modern physics b, 11(13), 1997, pp. 1591-1605
Citations number
23
Categorie Soggetti
Physics, Condensed Matter","Physycs, Mathematical","Physics, Applied
ISSN journal
02179792
Volume
11
Issue
13
Year of publication
1997
Pages
1591 - 1605
Database
ISI
SICI code
0217-9792(1997)11:13<1591:RBOTFO>2.0.ZU;2-D
Abstract
We present a collection of rigorous upper and lower bounds to the free energy of electron-phonon models with linear electron-phonon interact ion. These bounds are used to compare different variational approaches . It is shown rigorously that the ground states corresponding to the s harpest bounds do not exhibit Off-Diagonal Long-Range Order in the two -particle density matrix.