Singularities of the renormalization-group flow for random elastic manifolds

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 1, 1999, Pages 32-33

  Gorokhov, D A ^a   Blatter, G ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243802157     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.32     Document Type: Article

References (9)

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2. G. Blatter, M. V. Feigel’man, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994);
3. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995), and references therein.
4. H. Bucheli, O. S. Wagner, V. B. Geshkenbein, A. I. Larkin, and G. Blatter, Phys. Rev. B 57, 7642 (1998).
5. D. S. Fisher, Phys. Rev. Lett. 56, 1964 (1986).
6. L. Balents and D. S. Fisher, Phys. Rev. B 48, 5949 (1993).
7. We start with the correlator (Formula presented) which has zero odd derivatives at the point (Formula presented) From Eq. (2) we see that all odd derivatives remain zero (at least as long as (Formula presented).
8. We want to point out that the result (6) remains true even if (Formula presented) depends on l.
9. We wish to point out that there is no proof that (Formula presented) remains positive for any l under the RG transformation.