Infrared singularities in disordered interacting systems

Anton Andreev, Alex Kamenev

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We address the problem of infrared singularities in the perturbation theory for disordered interacting systems in (Formula presented) We show that a typical sufficiently large interacting system exhibits a linear instability in the spin-triplet channel. In the density-density channel, although stability is preserved, a large number of soft modes is accumulated. These phenomena are responsible for the instability of the weak-interacting fixed point. Although generic, the unstable direction and soft modes are highly sample specific and cannot be effectively captured by conventional techniques based on an averaging procedure. Rather, the instability is determined by the largest eigenvalues of the polarization operator. We propose to employ the optimal-fluctuation method for evaluating the probability of such events.

Original languageEnglish (US)
Pages (from-to)5149-5152
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume58
Issue number9
DOIs
StatePublished - 1998

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