Physics – Mathematical Physics
Scientific paper
2010-08-22
Ann. Henri Poincare 11 (2010), 1453-1485
Physics
Mathematical Physics
26 pages, 6 figures
Scientific paper
10.1007/s00023-010-0067-y
Quasi one-dimensional systems are systems of particles in domains which are of infinite extent in one direction and of uniformly bounded size in all other directions, e.g. on a cylinder of infinite length. The main result proven here is that for such particle systems with Coulomb interactions and neutralizing background, the so-called "jellium", at any temperature and at any finite-strip width there is translation symmetry breaking. This extends the previous result on Laughlin states in thin, two-dimensional strips by Jansen, Lieb and Seiler (2009). The structural argument which is used here bypasses the question of whether the translation symmetry breaking is manifest already at the level of the one particle density function. It is akin to that employed by Aizenman and Martin (1980) for a similar statement concerning symmetry breaking at all temperatures in strictly one-dimensional Coulomb systems. The extension is enabled through bounds which establish tightness of finite-volume charge fluctuations.
Aizenman Michael
Jansen Sabine
Jung Paul
No associations
LandOfFree
Symmetry breaking in quasi-1D Coulomb systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Symmetry breaking in quasi-1D Coulomb systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry breaking in quasi-1D Coulomb systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-165723