Physics – Condensed Matter – Superconductivity
Scientific paper
2007-05-11
Physics
Condensed Matter
Superconductivity
31 pages, new references
Scientific paper
10.1103/PhysRevB.77.064504
Functional renormalization yields a simple unified description of bosons at zero temperature, in arbitrary space dimension $d$ and for $M$ complex fields. We concentrate on nonrelativistic bosons and an action with a linear time derivative. The ordered phase can be associated with a nonzero density of (quasi) particles $n$. The behavior of observables and correlation functions in the ordered phase depends crucially on the momentum $k_{ph}$, which is characteristic for a given experiment. For the dilute regime $k_{ph}\gtrsim n^{1/d}$ the quantum phase transition is simple, with the same ``mean field'' critical exponents for all $d$ and $M$. On the other hand, the dense regime $k_{ph}\ll n^{1/d}$ reveals a rather rich spectrum of features, depending on $d$ and $M$. In this regime one observes for $d\leq 3$ a crossover to a relativistic action with second time derivatives. This admits order for $d>1$, whereas $d=1$ shows a behavior similar to the low temperature phase of the classical two-dimensional $O(2M)$-models.
No associations
LandOfFree
Functional renormalization for quantum phase transitions with non-relativistic bosons 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 Functional renormalization for quantum phase transitions with non-relativistic bosons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functional renormalization for quantum phase transitions with non-relativistic bosons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-411594