40 citations · 76 across the 5 of their papers we have counts for
10 papers · 1 filter
Replica-symmetry breaking: discrete and continuous schemes in the Sherrington-Kirkpatrick model
V Janis, A. Klic, M. Ringel
We study hierarchies of replica-symmetry-breaking solutions of the Sherrington-Kirkpatrick model. Stationarity equations for order parameters of solutions with an arbitrary number…
The Parisi formula completed
V. Janis
The Parisi formula for the free energy of the Sherrington-Kirkpatrick model is completed to a closed-form generating functional. We first find an integral representation for a solu…
Hierarchical solutions of the Sherrington-Kirkpatrick model: Exact asymptotic behavior near the critical temperature
V. Janis, A. Klic
We analyze the replica-symmetry-breaking construction in the Sherrington-Kirkpatrick model of a spin glass. We present a general scheme for deriving an exact asymptotic behavior ne…
Incompleteness of the Thouless, Anderson, and Palmer mean-field description of the spin-glass phase
V. Janis
We analyze the low-temperature behavior of mean-field equations of Thouless, Anderson, and Palmer (TAP). We demonstrate that degeneracy in free energy makes the low-temperature TAP…
Mean-field theories for disordered electrons: Diffusion pole and Anderson localization
V. Janis, J. Kolorenc
We discuss conditions to be put on mean-field-like theories to be able to describe fundamental physical phenomena in disordered electron systems. In particular, we investigate opti…
Absence of the diffusion pole in the Anderson insulator
V. Janis, J. Kolorenc
We discuss conditions for the existence of the diffusion pole and its consequences in disordered noninteracting electron systems. Using only nonperturbative and exact arguments we…