Influence of thermal fluctuations on quantum phase transitions in one-dimensional disordered systems: Charge density waves and Luttinger liquids
| dc.creator | Glatz, Andreas | |
| dc.creator | Nattermann, Thomas | |
| dc.date | 2003-10-17 | |
| dc.date.accessioned | 2026-07-07T09:46:13Z | |
| dc.date.available | 2026-07-07T09:46:13Z | |
| dc.description | The low temperature phase diagram of 1D weakly disordered quantum systems like charge or spin density waves and Luttinger liquids is studied by a \emph{full finite temperature} renormalization group (RG) calculation. For vanishing quantum fluctuations this approach is amended by an \emph{exact} solution in the case of strong disorder and by a mapping onto the \emph{Burgers equation with noise} in the case of weak disorder, respectively. At \emph{zero} temperature we reproduce the quantum phase transition between a pinned (localized) and an unpinned (delocalized) phase for weak and strong quantum fluctuations, respectively, as found previously by Fukuyama or Giamarchi and Schulz. At \emph{finite} temperatures the localization transition is suppressed: the random potential is wiped out by thermal fluctuations on length scales larger than the thermal de Broglie wave length of the phason excitations. The existence of a zero temperature transition is reflected in a rich cross-over phase diagram of the correlation functions. In particular we find four different scaling regions: a \emph{classical disordered}, a \emph{quantum disordered}, a \emph{quantum critical} and a \emph{thermal} region. The results can be transferred directly to the discussion of the influence of disorder in superfluids. Finally we extend the RG calculation to the treatment of a commensurate lattice potential. Applications to related systems are discussed as well. | |
| dc.description | 19 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0310432 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0310432 | |
| dc.identifier | Phys. Rev. B 69, 115118 (2004) | |
| dc.identifier | doi:10.1103/PhysRevB.69.115118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163455 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Influence of thermal fluctuations on quantum phase transitions in one-dimensional disordered systems: Charge density waves and Luttinger liquids | |
| dc.type | text |