12 research outputs found
Saturated Ferromagnetism from Statistical Transmutation in Two Dimensions
The total spin of the ground state is calculated in the U -> infinity Hubbard
model with uniform magnetic flux perpendicular to a square lattice, in the
absence of Zeeman coupling. It is found that the saturated ferromagnetism
emerges in a rather wide region in the space of the flux density \phi and the
electron density n_e. In particular, the saturated ferromagnetism at \phi = n_e
is induced by the formation of a spin-1/2 boson, which is a composite of an
electron and the unit flux quantum.Comment: 4 pages, 3 figures; final versio
Exact Dynamics of the SU(K) Haldane-Shastry Model
The dynamical structure factor of the SU(K) (K=2,3,4)
Haldane-Shastry model is derived exactly at zero temperature for arbitrary size
of the system. The result is interpreted in terms of free quasi-particles which
are generalization of spinons in the SU(2) case; the excited states relevant to
consist of K quasi-particles each of which is characterized by a
set of K-1 quantum numbers. Near the boundaries of the region where
is nonzero, shows the power-law singularity. It is
found that the divergent singularity occurs only in the lowest edges starting
from toward positive and negative q. The analytic result
is checked numerically for finite systems via exact diagonalization and
recursion methods.Comment: 35 pages, 3 figures, youngtab.sty (version 1.1
Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field
The dynamical spin structure factor S^{zz}(Q,omega) in the small momentum
region is derived analytically for the one-dimensional supersymmetric t-J model
with 1/r^2 interaction. Strong spin-charge separation is found in the spin
dynamics. The structure factor S^{zz}(Q,omega) with a given spin polarization
does not depend on the electron density in the small momentum region. In the
thermodynamic limit, only two spinons and one antispinon (magnon) contribute to
S^{zz}(Q,omega). These results are derived via solution of the SU(2,1)
Sutherland model in the strong coupling limit.Comment: 20 pages, 8 figures. Accepted for publication in J.Phys.
Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction
The electron addition spectrum A^+(k,omega) is obtained analytically for the
one-dimensional (1D) supersymmetric t-J model with 1/r^2 interaction. The
result is obtained first for a small-sized system and its validity is checked
against the numerical calculation. Then the general expression is found which
is valid for arbitrary size of the system. The thermodynamic limit of
A^+(k,omega) has a simple analytic form with contributions from one spinon, one
holon and one antiholon all of which obey fractional statistics. The upper edge
of A^+(k,omega) in the (k,omega) plane includes a delta-function peak which
reduces to that of the single-electron band in the low-density limit.Comment: 5 pages, 1 figure, accepted for publication in Phys. Rev. Let
Exact dynamical structure factor of the degenerate Haldane-Shastry model
The dynamical structure factor of the K-component (K = 2,3,4)
spin chain with the 1/r^2 exchange is derived exactly at zero temperature for
arbitrary size of the system. The result is interpreted in terms of a free
quasi-particle picture which is generalization of the spinon picture in the
SU(2) case; the excited states consist of K quasi-particles each of which is
characterized by a set of K-1 quantum numbers. Divergent singularities of
at the spectral edges are derived analytically. The analytic
result is checked numerically for finite systems.Comment: 4 pages, 1 figure, accepted for publication in Phys. Rev. Let
Exact electron addition spectrum in 1D supersymmetric t-J model with 1/r2 interaction
Arikawa, M. ; Yamamoto, T. ; Saiga, Y. ; Kuramoto, Y