Speaker
Tilman Enss
(Heidelberg University)
Description
We study critical phenomena in one-dimensional systems with long-range (LR) interactions, with a focus on the crossover to short-range universality. Employing functional renormalization group calculations and large-scale Monte Carlo simulations of self-avoiding Lévy flights on a 1D lattice, we determine the anomalous dimension η, the correlation length exponent ν, and the susceptibility exponent γ over a broad range of the LR decay parameter σ. Our results provide strong numerical evidence in favor of Sak's scenario: we locate the crossover at σ* = 1 and show that critical exponents vary continuously across this point, while significant corrections to scaling are present.
| Affiliation | Heidelberg University |
|---|---|
| Career status | Senior |
Author
Tilman Enss
(Heidelberg University)