Auxiliary-boson and DMFT studies of bond ordering instabilities of $$t$$ t - $$J$$ J - $$V$$ V models on the square lattice

On the possible volume of $mu$-$(v,k,t)$ trades

‎A $mu$-way $(v,k,t)$ $trade$ of volume $m$ consists of $mu$‎ ‎disjoint collections $T_1$‎, ‎$T_2‎, ‎dots T_{mu}$‎, ‎each of $m$‎ ‎blocks‎, ‎such that for every $t$-subset of $v$-set $V$ the number of‎ ‎blocks containing this t-subset is the same in each $T_i (1leq‎ ‎i leq mu)$‎. ‎In other words any pair of collections ${T_i,T_j}$‎, ‎$1leq i< j leq mu‎$ is a $(v,k,t)$ trade of volume $m$. In th...

Supersymmetric T-j Models

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...

Erratum: Dynamical properties of the single-hole t-J model on a 32-site square lattice

We present results of an exact diagonalization calculation of the spectral function A(k, ω) for a single hole described by the t–J model propagating on a 32–site square cluster. The minimum energy state is found at a crystal momentum k = (π2 , π 2 ), consistent with theory, and our measured dispersion relation agrees well with that determined using the self–consistent Born approximation. In con...

investigation of the electronic properties of carbon and iii-v nanotubes

boron nitride semiconducting zigzag swcnt, $b_{cb}$$n_{cn}$$c_{1-cb-cn}$, as a potential candidate for making nanoelectronic devices was examined. in contrast to the previous dft calculations, wherein just one boron and nitrogen doping configuration have been considered, here for the average over all possible configurations, density of states (dos) was calculated in terms of boron and nitrogen ...

Checkerboard order in the t – J model on the square lattice