Although they describe properties of 2D Hall systems in the fractional quantum regime well, composite fermions suffer from the unexplained character of the localized magnetic field flux-tubes attached to each particle in order to reproduce the Laughlin correlations via Aharonov-Bohm phase shifts. The identification of the cyclotron trajectories of 2D charged particles as accessible classical trajectories within the braid group approach at the magnetic field presence, allows, however, for the avoidance of the construction with fluxes. We introduce cyclotron braid subgroups for charged 2D systems at the fractional Landau-level filling associated in a more natural way with composite fermions without invoking field flux-tubes. The Aharonov-Bohm phase shifts caused by fluxes are replaced with the phase gain due to multi-loop cyclotron trajectories unavoidably occurring at the fractional filling of 1/p (p is an odd integer). Another approach to composite particles, using so-called vortices, is also discussed from the point of view of the cyclotron braid group description (for both odd and even p integers).
In this paper the electrostrictive properties above T(εmax), represented by the field-related M and polarization-related Q coefficients, have been reported for Pb(Zr(1-x)Ti(x))O(3) ceramics with x = 0.03-0.10. Among M(11)(T) and Q(11)(T) dependences, those found for Pb(Zr(0.94)Ti(0.06))O(3) have been clearly distinguished. In this case, the Q(11)(T) dependence is linear in the whole temperature range above T(εmax). Experimental and theoretical analysis of the M(11)(T) dependences has shown that the phase transition to the ferroelectric phase in Pb(Zr(0.94)Ti(0.06))O(3) ceramics seems to be of the displacive type.
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