I briefly review several key issues in understanding the cuprate superconductors from the point of view of doped-Mott-insulator. Then I present an effective low-energy theory and show that the phase diagram of such a model includes an anti-ferromagnetic (AF) phase, a superconducting state, and a pseudogap phase at low doping and low temperature, consistent with the experimental one. The dual to...

The temperature dependence of magneto current in the spin spin valve transistor system is theoretically explored based on phenomenological model. We find that the collector current strongly depends on the relative orientation of magnetic moment of ferromagnetic metals due to spin mixing effect. For example, the collector current is decreasing in the parallel case with increasing temperature, an...

For Erdős-Rényi random graphs with average degree γ, and uniformly random γ-regular graph on n vertices, we prove that with high probability the size of both the Max-Cut and maximum bisection are n( γ 4 + P∗ √ γ 4 + o( √ γ)) + o(n) while the size of the minimum bisection is n( γ 4 − P∗ √ γ 4 + o( √ γ)) + o(n). Our derivation relates the free energy of the anti-ferromagnetic Ising model on such ...

The electronic structure of Cu hexafluoroacetylacetonate, crystallized with a stable nitronyl nitrox-ide radical [Ovcharenko et al., Russ. Chem. Bull. 53, 2406 (2004)], is calculated from first principles within the density functional theory using the SIESTA method, in two magnetic configurations reflecting parallel or antiparallel setting of S = 1/2 spins of Cu(II) ions to those of organic rad...

Number partitioning is a classical problem from combinatorial optimization. In physical terms it corresponds to a long range anti-ferromagnetic Ising spin glass. It has been rigorously proven that the low lying energies of number partitioning behave like uncorrelated random variables. We claim that neighbouring energy levels are uncorrelated almost everywhere on the energy axis, and that energe...

I briefly review several key issues in understanding the cuprate superconductors from the point of view of doped-Mott-insulator. Then I present an effective low-energy theory and show that the phase diagram of such a model includes an anti-ferromagnetic (AF) phase, a superconducting state, and a pseudogap phase at low doping and low temperature, consistent with the experimental one. The dual to...

Analytical expressions of some of the spin-spin correlation functions up to eight lattice sites for the spin-1/2 anti-ferromagnetic Heisenberg chain at zero temperature without magnetic field are obtained. The key object of our method is the generating function of two-point spin-spin correlators, whose functional relations are derived from those for general inhomogeneous correlation functions p...

We consider by means of Monte Carlo simulations the relaxation in the paramagnetic phase of the anti-ferromagnetic Ising model on a triangular lattice and of a fully-frustrated Ising model on a square lattice. In contradistinction to previous studies of the second model, we show that spin-spin correlation functions do not decay with a stretched-exponential law at low temperature but that both m...

The modified Becke-Johnson exchange potential [F. Tran and P. Blaha, Phys. Rev. Lett. 102, 226401 (2009)] (TB-mBJ) is tested on various types of solids which are difficult to describe theoretically: nonmagnetic semiconducting transition-metal oxides and sulfides, metals (Fe, Co, Ni, and Cu), and (anti)ferromagnetic insulators (e.g., YBa2Cu3O6). The results for the band gap and other quantities ...

Non-linear integral equations derived from Bethe Ansatz are used to evaluate finite size corrections to the highest (i.e. anti-ferromagnetic) and immediately lower anomalous dimensions of scalar operators in N = 4 SYM. In specific, multi-loop corrections are computed in the SU (2) operator subspace, whereas in the general SO(6) case only one loop calculations have been finalised. In these cases...