1996/08/22 by Michael Lässig, Michael Lassig, Lassig, Michael +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum chaos and dynamical systems #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9608099
4 pages, revtex, no figures
arxiv created 1996/08/22 · openalex publication_date 1996/08/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The strong-coupling regime of Kardar-Parisi-Zhang surface growth driven by short-ranged noise has an upper critical dimension d_> less or equal to four (where the dynamic exponent z takes the value z (d_>) = 2). To derive this, we use the mapping onto directed polymers with quenched disorder. Two such polymers coupled by a small contact attraction are shown to form a bound state at all temperatures below the roughening temperature of a single polymer. Comparing the singularities of the localization length at and below the critical temperature yields d_> ≤ 4.