808 research outputs found
Probing a ferromagnetic critical regime using nonlinear susceptibility
The second order para-ferromagnetic phase transition in a series of amorphous
alloys (Fe{_5}Co{_{50}}Ni{_{17-x}}Cr{_x}B{_{16}}Si{_{12}}) is investigated
using nonlinear susceptibility. A simple molecular field treatment for the
critical region shows that the third order suceptibility (chi{_3}) diverges on
both sides of the transition temperature, and changes sign at T{_C}. This
critical behaviour is observed experimentally in this series of amorphous
ferromagnets, and the related assymptotic critical exponents are calculated. It
is shown that using the proper scaling equations, all the exponents necessary
for a complete characterization of the phase transition can be determined using
linear and nonlinear susceptiblity measurements alone. Using meticulous
nonlinear susceptibility measurements, it is shown that at times chi{_3} can be
more sensitive than the linear susceptibility (chi{_1}) in unravelling the
magnetism of ferromagnetic spin systems. A new technique for accurately
determining T{_C} is discussed, which makes use of the functional form of
chi{_3} in the critical region.Comment: 11 Figures, Submitted to Physical Review
Algebraic approach to quantum black holes: logarithmic corrections to black hole entropy
The algebraic approach to black hole quantization requires the horizon area
eigenvalues to be equally spaced. As shown previously, for a neutral
non-rotating black hole, such eigenvalues must be -fold degenerate if
one constructs the black hole stationary states by means of a pair of creation
operators subject to a specific algebra. We show that the algebra of these two
building blocks exhibits symmetry, where the area
operator generates the U(1) symmetry. The three generators of the SU(2)
symmetry represent a {\it global} quantum number (hyperspin) of the black hole,
and we show that this hyperspin must be zero. As a result, the degeneracy of
the -th area eigenvalue is reduced to for large , and
therefore, the logarithmic correction term should be added to the
Bekenstein-Hawking entropy. We also provide a heuristic approach explaining
this result, and an evidence for the existence of {\it two} building blocks.Comment: 15 pages, Revtex, to appear in Phys. Rev.
Extended electronic states in disordered 1-d lattices: an example
We discuss a very simple model of a 1-d disordered lattice, in which {\em
all} the electronic eigenstates are extended. The nature of these states is
examined from several viewpoints, and it is found that the eigenfunctions are
not Bloch functions although they extend throughout the chain. Some typical
wavefunctions are plotted. This problem originated in our earlier study of
extended states in the quasiperiodic copper-mean lattice [ Sil, Karmakar,
Moitra and Chakrabarti, Phys. Rev. B (1993) ]. In the present investigation
extended states are found to arise from a different kind of correlation than
that of the well-known dimer-type.Comment: 9 pages, 1 figure available on request, LaTex version 2.09,
SINP-SSMP93-0
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