46 research outputs found
Generalized Exclusion Statistics in the Kondo Problem
We consider the generalized exclusion statistics in the Kondo problem. The
thermodynamic Bethe ansatz equations have been used for a multicomponent system
of particles obeying the generalized exclusion principle. We have found a
relation between the derivative of the phase shift of the scattering matrix for
Fermi particles and for particles characterized by generalized exclusion
statistics. We show that the statistical matrix in the Kondo problem has a
universal form in high and low temperature limits.Comment: 15 pages Sabj-class: Strongly Correlated Electron
Structure of Multi-Meron Knot Action
We consider the structure of multi-meron knot action in the Yang-Mills theory
and in the CP^1 Ginzburg-Landau model. Self-dual equations have been obtained
without identifying orientations in the space-time and in the color space. The
dependence of the energy bounds on topological parameters of coherent states in
planar systems is also discussed. In particular, it is shown that a
characteristic size of a knot in the Faddeev-Niemi model is determined by the
Hopf invariant.Comment: 7 pages, Latex2
Nonlocal Edge State Transport in Topological Insulators
We use the N-terminal scheme for studying the edge state transportin in
two-dimensional topological insulators. We find the universal nonlocal response
in the ballistic transport approach. This macroscopic exhibition of the
topological order offers different areas for applications.Comment: Updated to published versio
Topological phase states of the SU(3) QCD
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013).We consider the topologically nontrivial phase states and the corresponding
topological defects in the SU(3) d-dimensional quantum chromodynamics (QCD). The
homotopy groups for topological classes of such defects are calculated explicitly. We have
shown that the three nontrivial groups are π3SU(3) = Z, π5SU(3) = Z, and π6SU(3) = Z6 if
3 ≤ d ≤ 6. The latter result means that we are dealing exactly with six topologically different
phase states. The topological invariants for d=3,5,6 are described in detail.This work was supported in part by the RFBR Grant No. 13-02-12110.Peer Reviewe