The effect of long range interactions on the stability of classical and quantum solids
| dc.creator | Chowdhury, Debanjan | |
| dc.creator | Dutta, Amit | |
| dc.date | 2008-01-01 | |
| dc.date.accessioned | 2026-07-07T08:52:05Z | |
| dc.date.available | 2026-07-07T08:52:05Z | |
| dc.description | We generalise the celebrated Peierls' argument to study the stability of a long-range interacting classical solid. Long-range interaction implies that all the atomic oscillators are coupled to each other via a harmonic potential, though the coupling strength decays as a power-law $1/x^α$, where $x$ is the distance between the oscillators. We show that for the range parameter $α<2$, the long-range interaction dominates and the one-dimensional system retains a crystalline order even at a finite temperature whereas for $α\geq2$, the long-range crystalline order vanishes even at an infinitesimally small temperature. We also study the effect of quantum fluctuations on the melting behaviour of a one-dimensional solid at T=0, extending Peierls' arguments to the case of quantum oscillators. | |
| dc.description | 7 pages REVTEX (including 1 ps figure) | |
| dc.identifier | https://arxiv.org/abs/0801.0299 | |
| dc.identifier | http://arxiv.org/abs/0801.0299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145158 | |
| dc.subject | Statistical Mechanics | |
| dc.title | The effect of long range interactions on the stability of classical and quantum solids | |
| dc.type | text |