TY - JOUR
T1 - Infrared singularities in disordered interacting systems
AU - Andreev, Anton
AU - Kamenev, Alex
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevB.58.5149
DO - 10.1103/PhysRevB.58.5149
M3 - Article
AN - SCOPUS:0343039909
SN - 1098-0121
VL - 58
SP - 5149
EP - 5152
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 9
ER -