2,559 research outputs found
Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons
We calculate the exact dynamical magnetic structure factor S(Q,E) in the
ground state of a one-dimensional S=1/2 antiferromagnet with gapless free S=1/2
spinon excitations, the Haldane-Shastry model with inverse-square exchange,
which is in the same low-energy universality class as Bethe's nearest-neighbor
exchange model. Only two-spinon excited states contribute, and S(Q,E) is found
to be a very simple integral over these states.Comment: 11 pages, LaTeX, RevTeX 3.0, cond-mat/930903
Calculation of the singlet-triplet gap of the antiferromagnetic Heisenberg Model on the ladder
The ground state energy and the singlet-triplet energy gap of the
antiferromagnetic Heisenberg model on a ladder is investigated using a mean
field theory and the density matrix renormalization group. Spin wave theory
shows that the corrections to the local magnetization are infinite. This
indicates that no long range order occurs in this system. A flux-phase state is
used to calculate the energy gap as a function of the transverse coupling,
, in the ladder. It is found that the gap is linear in for
and goes to zero for . The mean field theory
agrees well with the numerical results.Comment: 11pages,6 figures (upon request) Revtex 3.0, Report#CRPS-94-0
Electron Spin Resonance of defects in the Haldane System Y(2)BaNiO(5)
We calculate the electron paramagnetic resonance (EPR) spectra of the
antiferromagnetic spin-1 chain compound Y(2)BaNi(1-x)Mg(x)O(5) for different
values of x and temperature T much lower than the Haldane gap (~100K). The
low-energy spectrum of an anisotropic Heisenberg Hamiltonian, with all
parameters determined from experiment, has been solved using DMRG. The observed
EPR spectra are quantitatively reproduced by this model. The presence of
end-chain S=1/2 states is clearly observed as the main peak in the spectrum and
the remaining structure is completely understood.Comment: 5 pages, 4 figures include
Adiabatic Ground-State Properties of Spin Chains with Twisted Boundary Conditions
We study the Heisenberg spin chain with twisted boundary conditions, focusing
on the adiabatic flow of the energy spectrum as a function of the twist angle.
In terms of effective field theory for the nearest-neighbor model, we show that
the period 2 (in unit ) obtained by Sutherland and Shastry arises from
irrelevant perturbations around the massless fixed point, and that this period
may be rather general for one-dimensional interacting lattice models at half
filling. In contrast, the period for the Haldane-Shastry spin model with
interaction has a different and unique origin for the period, namely,
it reflects fractional statistics in Haldane's sense.Comment: 6 pages, revtex, 3 figures available on request, to appear in J.
Phys. Soc. Jp
Exclusion Statistics in Conformal Field Theory Spectra
We propose a new method for investigating the exclusion statistics of
quasi-particles in Conformal Field Theory (CFT) spectra. The method leads to
one-particle distribution functions, which generalize the Fermi-Dirac
distribution. For the simplest invariant CFTs we find a generalization
of Gentile parafermions, and we obtain new distributions for the simplest
-invariant CFTs. In special examples, our approach reproduces
distributions based on `fractional exclusion statistics' in the sense of
Haldane. We comment on applications to fractional quantum Hall effect edge
theories.Comment: 4 pages, 1 figure, LaTeX (uses revtex
Spin Stiffness of Mesoscopic Quantum Antiferromagnets
We study the spin stiffness of a one-dimensional quantum antiferromagnet in
the whole range of system sizes and temperatures . We show that for
integer and half-odd integer spin case the stiffness differs fundamentally in
its and dependence, and that in the latter case the stiffness exhibits
a striking dependence on the parity of the number of sites. Integer spin chains
are treated in terms of the non-linear sigma model, while half-odd integer spin
chains are discussed in a renormalization group approach leading to a Luttinger
liquid with Aharonov-Bohm type boundary conditions.Comment: 12 pages, LaTe
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