Density of States near the Anderson Transition in a Four-dimensional Space. Renormalizable Models

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dc.creatorSuslov, I. M.
dc.date1999-12-07
dc.date.accessioned2026-07-07T03:15:27Z
dc.date.available2026-07-07T03:15:27Z
dc.descriptionAsymptotically exact results are obtained for the average Green function and density of states of a disordered system for a renormalizable class of models (as opposed to the lattice models examined previously [Zh. Eksp. Teor. Fiz. 106 (1994) 560-584]). For N\sim 1 (where N is an order of the perturbation theory), only the parquet terms corresponding to the highest powers of large logarithms are retained. For large N, this approximation is inadequate because of the fast growth with N of the coefficients for the lower powers of the logarithms. The latter coefficients are calculated in the leading order in N from the Callan-Symanzik equation with results of the Lipatov method using as boundary conditions. For calculating the self-energy at finite momentum, a modification of the parquet approximation is used, that allows the calculations to be done in an arbitrary finite logarithmic approximation but in the leading order in N. It is shown that the phase transition point shifts in the complex plane, thereby insuring regularity of the density of states for all energies. The "spurious" pole is avoided in such a way that effective interaction remains logarithmically weak.
dc.description17 pages, PDF
dc.identifierhttps://arxiv.org/abs/cond-mat/9912116
dc.identifierhttp://arxiv.org/abs/cond-mat/9912116
dc.identifierZh.Eksp.Teor.Fiz. 111 (1997) 220-249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/30029
dc.subjectDisordered Systems and Neural Networks
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleDensity of States near the Anderson Transition in a Four-dimensional Space. Renormalizable Models
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