Peierls instability with electron-electron interaction: the commensurate case
| dc.creator | Mastropietro, Vieri | |
| dc.date | 2001-11-09 | |
| dc.date.accessioned | 2026-07-07T02:43:26Z | |
| dc.date.available | 2026-07-07T02:43:26Z | |
| dc.description | We consider a quantum many-body model describing a system of electrons interacting with themselves and hopping from one ion to another of a one dimensional lattice. We show that the ground state energy of such system, as a functional of the ionic configurations, has local minima in correspondence of configurations described by smooth ${π\over p_F}$ periodic functions, if the interaction is repulsive and large enough and $p_F$ is the Fermi momentum of the electrons. This means physically that a $d=1$ metal develop a periodic distortion of its reticular structure (Peierls instability). The minima are found solving the Eulero-Lagrange equations of the energy by a contraction method. | |
| dc.description | 35 pages, to appear CPAA | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0111164 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0111164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/18501 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Peierls instability with electron-electron interaction: the commensurate case | |
| dc.type | text |