Abstract
Using a position-space renormalization group (RG) we analyse the competition for an interface between the boundary defect and an additional line of defect bonds in the two-dimensional Abraham model. The RG phase diagram, obtained over the whole range of temperatures and pinning parameters, indicate that beside the continuous wetting transition this model exhibits a finite-temperature interface depinning transition of the first order in agreement with recently obtained exact results.
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References
Abraham, D.B.: Phase transitions and critical phenomena. Domb, C., Lebowitz, J.L. (eds.). New York: Academic Press 1986
Forgacs, G., Švrakić, N.M., Privman, V.: Phys. Rev. B38, 8996 (1988)
Chalker, J.T.: J. Phys. A: Math. Gen.14, 2431 (1981)
Forgacs, G., Nieuwenhuizen, Th.M.: J. Phys. A: Math. Gen.21, 3871 (1988)
Abraham, D.B.: Phys. Rev. Lett.44, 1165 (1980)
Mihajlović, D.N.: J. Phys. A: Math. Gen.21, 2971 (1988)
Abraham, D.B.: J. Phys. A: Math. Gen.14, L369 (1981)
Bariev, R.Z.: Sov. Phys.-J.E.T.P.50, 613 (1979)
McCoy, B.M., Perk, J.H.H.: Phys. Rev. Lett.44, 840 (1980)
Švrakić, N.M.: J. Phys. A: Math. Gen.16, L171 (1983)
Mihajlović, D.N., Švrakić, N.M.: Z. Phys. B-Condensed Matter52, 243 (1983)
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Mihajlović, D.N. First-order depinning transition in two-dimensional abraham model: RG approach. Z. Physik B - Condensed Matter 76, 375–379 (1989). https://doi.org/10.1007/BF01321916
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DOI: https://doi.org/10.1007/BF01321916