The partition function of the O(n) loop model on the honeycomb lattice is mapped to that of the O(n) loop model on the 3-12 lattice. Both models share the same operator content and thus critical exponents. The critical points are related via a simple transformation of variables. When n = 0 this gives the recently found exact value μ = 1.711 041 . . . for the connective constant of self-avoiding...

We examine the quantum theory of the spontaneous breaking of lattice rotation symmetry in dwave superconductors on the square lattice. This is described by a field theory of an Ising nematic order parameter coupled to the gapless fermionic quasiparticles. We determine the structure of the renormalization group to all orders in a 1/Nf expansion, where Nf is the number of fermion spin components....

The dynamic behavior of a bunched one-dimensional crystalline beam is studied theoretically. It is shown that, owing to the existence of momentum dispersion, a Coulomb chain traveling in a storage ring performs a complex periodic oscillation whenever it is exposed to a longitudinal radio-frequency force. The equations of motion are derived to predict the oscillation pattern in an arbitrary latt...

By calculating the electronic, orbital, magnetic, and lattice structure of half-doped manganites we establish the central role of oxygen buckling caused by the tilting of the MnO6 octahedra, which is, in essence, a steric effect. The buckling itself does not change the Mn-Mn bonds. Instead, it drives the system toward an instability where these bonds can dimerize. In the presence of electron-el...

Using Monte Carlo techniques, the critical Binder cumulant U∗ of isotropic nearest–neighbour Ising models on square and triangular lattices is studied. For rectangular shapes, employing periodic boundary conditions, U∗ is found to show the same dependence on the aspect ratio for both lattice types. Similarly, applying free boundary conditions for systems with square as well as circular shapes f...

The Contractor Renormalization group (CORE) method, a new approach to solving Hamiltonian lattice systems, is introduced. The method combines contraction and variational techniques with the real-space renormalization group approach. It applies to lattice systems of infinite extent and is ideal for studying phase structure and critical phenomena. The CORE approximation is systematically improvab...

First principle study of QCD at finite temperature T and chemical potential μ is essential for understanding a wide range of phenomena from heavy-ion collisions to cosmology and neutron stars. However, in the presence of finite density, the critical behavior lattice gauge theory without species doubling, is unknown. At strong coupling, we examine the phase structure on the (μ, T ) plane, using ...

The mechanism for regulating the critical temperature (TC) of metal-insulator transition (MIT) in ions-doped VO2 systems is still a matter of debate, in particular, the unclear roles of lattice distortion and charge doping effects. To rule out the charge doping effect on the regulation of TC, we investigated Ti(4+)-doped VO2 (Ti(x)V(1-x)O2) system. It was observed that the TC of Ti(x)V(1-x)O2 s...

structure of alpha lattice designs makes removing the effects of incomplete blocks from residual effect of plots, and maximizes precision of comparison between genotypes at the same incomplete block. this investigation was conducted to study the international chickpea germplasm, for finding desirable lines regarding seed yield and other traits. two trials including cien-la-2010 and cien-s-2010 ...

We have studied the ground states of two dimensional lattice model of Coulomb Glass via Monte Carlo annealing. Our results show a possibility of existence of a critical disorder (Wc) below which the system is in the charge ordered phase and above it the system is in the disordered phase. We have used finite size scaling to calculate Wc = 0.2413, the critical exponent of magnetization β = 0 indi...