50 citations · 232 across the 57 of their papers we have counts for
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Spectral analysis of universal conductance fluctuations
I. M. Suslov
Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such…
Hidden Symmetry in 1D Localization
I. M. Suslov
Resistance ρof an one-dimensional disordered system of length l has the log-normal distribution in the limit of large l. Parameters of this distribution depend on the Fermi level p…
Conductance distribution in 1D systems: dependence on the Fermi level and the ideal leads
I. M. Suslov
The correct definition of the conductance of finite systems implies a connection to the system of the massive ideal leads. Influence of the latter on the properties of the system a…
General form of DMPK equation
I. M. Suslov
The Dorokhov-Mello-Pereyra-Kumar (DMPK) equation, using in the analysis of quasi-one-dimensional systems and describing evolution of diagonal elements of the many-channel transfer…
Conductance distribution near the Anderson transition
I. M. Suslov
Using a modification of the Shapiro approach, we introduce the two-parameter family of conductance distributions W(g), defined by simple differential equations, which are in the on…
Multifractality and quantum diffusion from self-consistent theory of localization
I. M. Suslov
Multifractal properties of wave functions in a disordered system can be derived from self-consistent theory of localization by Vollhardt and Woelfle. A diagrammatic interpretation…
Strict parabolicity of the multifractal spectrum at the Anderson transition
I. M. Suslov
Using the well-known "algebra of multifractality", we derive the functional equation for anomalous dimensions Δ_q, whose solution Δ_q=aq(q-1) corresponds to strict parabolicity of…
How to observe the localization law σ(ω) (-iω) for conductivity?
I. M. Suslov
The Berezinskii localization law σ(ω) (-iω) for frequency-dependent conductivity was never questioned from the theoretical side, but never observed experimentally. In fact, this re…
Interpretation of high-dimensional numerical results for Anderson transition
I. M. Suslov
Existence of the upper critical dimension d_{c2}=4 for the Anderson transition is a rigorous consequence of the Bogoliubov theorem on renormalizability of ϕ^4 theory. For dimension…
Scaling for level statistics from self-consistent theory of localization
I. M. Suslov
Accepting validity of self-consistent theory of localization by Vollhardt and Woelfle, we derive the relations of finite-size scaling for different parameters characterizing the le…
T_c of disordered superconductors near the Anderson transition
I. M. Suslov
According to the Anderson theorem, the critical temperature T_c of a disordered superconductor is determined by the average density of states and does not change at the localizatio…
Reply to comment by P.Markos [arXiv:1205.0689]
I. M. Suslov
We present another interpretation of the data by P.Markos and give a lot of new illustrations for our conception. All existing numerical data look perfectly compatible with predict…
Conductance of Finite Systems and Scaling in Localization Theory
I. M. Suslov
The conductance of finite systems plays a central role in the scaling theory of localization (Abrahams et al, 1979). Usually it is defined by the Landauer-type formulas, which rema…
Possibility of the 2D Anderson Transition and Generalized Lyapunov Exponents
I. M. Suslov
The possible existence of the Anderson transition in 2D systems without interaction and spin-orbit effects (such as the usual Anderson model) becomes recently a subject of controve…
Diffusion Poles and the Anderson Transition
I. M. Suslov
In the recent series of papers (cond-mat/0402471, cond-mat/0403618, cond-mat/0407618, cond-mat/0501586), Janis and Kolorenc discussed the role of the diffision poles in the Anderso…
Anderson Transition and Generalized Lyapunov Exponents (comment on comment by P.Markos, L.Schweitzer and M.Weyrauch, cond-mat/0402068)
I. M. Suslov
The generalized Lyapunov exponents describe the growth of the second moments for a particular solution of the quasi-1D Schroedinger equation with initial conditions on the left end…
Anderson transition: numerical vs analytical results (comment on the review article by P.Markos cond-mat/0609580)
I. M. Suslov
In the recent review article, P.Markos admits that practically all numerical results on the critical behavior near the Anderson transition are in conflict with analytical expectati…
Analytical realization of finite-size scaling for Anderson localization. Does the band of critical states exist for d>2?
I. M. Suslov
An analytical realization is suggested for the finite-size scaling algorithm based on the consideration of auxiliary quasi-1D systems. Comparison of the obtained analytical results…
Analytical realization of finite-size scaling for Anderson localization: Is there transition in the 2D case?
I. M. Suslov
Roughly half of numerical investigations of the Anderson transition are based on consideration of an associated quasi-1D system and postulation of one-parameter scaling for the min…
Symmetry Theory of the Anderson Transition
I. M. Suslov
We prove the Vollhardt and Wolfle hypothesis that the irreducible vertex U_{kk'}(q) appearing in the Bethe--Salpeter equation contains a diffusion pole (with the observable diffusi…
Numerical results for the Anderson transition. Comment
I. M. Suslov
Answer to cond-mat/0106005 and cond-mat/0106006 and additional notes are given concerning to my previous comment (cond-mat/0105324).
Critical indices of Anderson transition: something is wrong with numerical results
I. M. Suslov
Numerical results for Anderson transition are critically discussed. A simple procedure to deal with corrections to scaling is suggested. With real uncertainties taken into account,…
Scaling near the upper critical dimensionality in the localization theory
I. M. Suslov
The phenomenon of upper critical dimensionality d_c2 has been studied from the viewpoint of the scaling concepts. The Thouless number g(L) is not the only essential variable in sca…
Development of (4-epsilon)-dimensional theory for the density of states near the Anderson transition
I. M. Suslov
The density of states for the Schroedinger equation with a Gaussian random potential is determined by the functional integral corresponding to the phi^4 theory with a `wrong' sign…