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Monomial Relization of Crystal Bases for Special Linear Lie Algebras
We give a new realization of crystal bases for finite dimensional irreducible
modules over special linear Lie algebras using the monomials introduced by H.
Nakajima. We also discuss the connection between this monomial realization and
the tableau realization given by Kashiwara and Nakashima.Comment: 15 page
Young Wall Realization of Crystal Bases for Classical Lie Algebras
In this paper, we give a new realization of crystal bases for finite
dimensional irreducible modules over classical Lie algebras. The basis vectors
are parameterized by certain Young walls lying between highest weight and
lowest weight vectors.Comment: 27page
NMR study on the stability of the magnetic ground state in MnCrO
The canting angles and fluctuation of the magnetic ion spins of spinel oxide
MnCrO were studied by nuclear magnetic resonance (NMR) at low
temperatures, which has a collinear ferrimagnetic order below and a
ferrimagnetic spiral order below . Contrary to previous reports,
only one spin canting angle of Cr ions was observed. The spin canting angles of
Mn and Cr ions in the ferrimagnetic spiral obtained at a liquid-He temperature
were 43\,^{\circ} and 110\,^{\circ}, respectively. The nuclear spin-spin
relaxation was determined by the Suhl-Nakamura interaction at low temperatures
but the relaxation rate increases rapidly as the temperature
approaches . This indicates that the fluctuation of the spiral component
becomes faster as the temperature increases but not fast enough to leave an
averaged hyperfine field to nuclei in the time scale of nuclear spin precession
in the ferrimagnetic phase, which is on the order of s. The spiral
volume fraction measured for various temperatures reveals that the collinear
and the spiral ferrimagnetic phases are mixed below the transition temperature
of the spiral order. The temperature hysteresis in the volume fraction implies
that this transition has first-order characteristics.Comment: 13 pages, 5 figure
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