We construct the Drinfeld twists (factorizing F -matrices) for the supersymmetric t-J model. Working in the basis provided by the F -matrix (i.e. the so-called F -basis), we obtain completely symmetric representations of the monodromy matrix and the pseudo-particle creation operators of the model. These enable us to resolve the hierarchy of the nested Bethe vectors for the gl(2|1) invariant t-J...

Abstract. The dynamical spin structure factor S(Q, ω) in the small momentum region is derived analytically for the one-dimensional supersymmetric t-J model with 1/r interaction. Strong spin-charge separation is found in the spin dynamics. The structure factor S(Q,ω) with a given spin polarization does not depend on the electron density in the small momentum region. In the thermodynamic limit, o...

An integrable version of the supersymmetric t-J model which is quantum group invariant as well as periodic is introduced and analysed in detail. The model is solved through the algebraic nested Bethe ansatz method. ∗e-mail: [email protected]

We generalize the Franke-Härdle (1992) spectral density bootstrap to the multivariate case. The extension is non-trivial and facilitates use of the Franke-Härdle bootstrap in frequency-domain econometric work, which often centers on cross-variable dynamic interactions. We document the bootstrap’s good finite-sample performance in a small Monte Carlo experiment, and we conclude by highlighting k...

The magnetic susceptibility of underdoped yttrium and lanthanum cuprates is interpreted based on the self-consistent solution of the t-J model of a Cu-O plane. The calculations reproduce correctly the frequency dependencies of the susceptibility in YBa2Cu3O7−y and La2−xSrxCuO4 attributing their dissimilarity to the difference in the damping of spin excitations. In YBa2Cu3O7−y these excitations ...