In this work, we have studied the invariants of motion of two SU (N) super-symmetric t-J models of 1/r 2 hopping and exchange in one dimension. The first model is defined on a lattice of equal spaced sites, and the second on a non-equal spacing lattice. Using the " exchange operator formalism " , we are able to construct all the invariants for the models, by mapping the systems to mixtures of f...

The quasiparticle resonant states around a single nonmagnetic impurity with unitary scattering in a d-wave superconductor is studied by solving the Bogoliubov–de Gennes equations based on a t-J model. Both the spatial variation of the order parameter and the local density of states ~LDOS! around the impurity have been investigated. We find that ~i! a particle-hole symmetric system has a single ...

We perform the numerically exact diagonalization study of the t-J model with nonmagnetic impurities to clarify the relation between Zn impurities and the stripes. By examining the hole-hole correlation function for a two-hole √ 18× √ 18 cluster with a single impurity, we find that the impurity has a tendency to stabilize vertical charge stripes. This tendency is caused by the gain of the kineti...

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