Weak Finite—Size Dependence of Velocity and Strong Phase Dependence of Central Charge

We study the finite-size scaling behavior of velocity and central charge for different coupling constants and different phases in (1 1)-dimensional lattice model in very short chains.Using XXZ spin 1/2 chains with 15 or fewer sites,we demonstrate the weak finite-size dependence of spinon velocity for any magnitude of coupling strength Jz and the strong phase dependence of central charge.This behavior of velocity and central charge in different coupling constants and different phases gives a method to determine phase transitions of (1 1)-dimensional models.This method is simple and efficient by utilizing only the ground state energy of very short finite-size chains.It is also general and powerfur for various one-dimensional lattice models and it uncovers eventhe weakest berezinski-Kosterlitz-Thouless phase transitions.     

Hall Conductivity in a Quasi—Two—Dimensional disordered Electron System

By making use of the diagrammatic techniques in perturbation theory,we have investigated the Hall effect in a quasi-two dimensional disordered electron system.In the weakly localized regime,the analytical expression for quantum correction to Hall conductivity has been obtained using the kubo formalism and quasiclassical approximation.The relevant dimensional crossover behavior from three dimensions to two dimensions with decreasing the interlayer hopping energy is discussed.The quantum interference effect is shown to have a vanishing correction to the Hall coefficient.     

Identical Superdeformed Bands in ^171Ta and ^173Re

The rotational band built on the i13/2 proton [660,1/2] Nilsson state in ^173Re is proven to be identical to that in ^171Ta.The close similarity of the two bands in ^171Ta and ^173Re suggests that the ^173Re nucleus with the odd proton based on the i13/2 [660,1/2] Nilsson state may be triaxially superdeformed.     

Distorted Wave Effects of the 1b3g Orbital in Ethylene

We study the unexpected distorted wave effects of the 1b3g orbital in ethylene using a high resolution binary (e,2e) electron momentum spectrometer,at an impact energy of 800eV plus the binding energy (8-22eV) with symmetric non-coplanar kinematics.The experimental monentum profile of the 1b3g orbital is obtained and compared with the data previously measured at an impact energy of 1200 eV plus the binding energy.Also,the experimental momentum profiles of the 1b3g orbital are compared with the theoretical momentum distributions calculated by using Hartree-Fock and density functional theory methods.The experimental momentum profiles of the 1b3g orbital of ethylene at different impact energies show that the cross section of the orbital below the momentum p-1 a.u.is higher for lower impact energies.     

Field—Correlation Effects on Rayleigh—Enhanced Nondegenerate Four—Wave Mixing

We study Rayleigh-enhanced nondegenerate four-wave mixing (NFWM) with time-delayed,correlated fluctuating fields.The importance of the field correlation is revealed in the Rayleigh-enhanced NFWM spectrum when the time delay is varied.The Rayleigh-enhanced NFWM is employed to study the ultrafast processes in the frequency domain.A relaxation time as short as 220 fs was deduced in the Rayleigh-enhanced NFWM experiments in carbon disulphide.     

Large Absolute Photonic Bandgap at High Frequencies in a Two—Dimensional Photonic Crystal with a Hexagonal Structure

A new harge absolute photonic bandgap at high normalized frequencies can be obtained in a two-dimensional hexagonal structure with alumina cylinders in air by reducing the symmetry of the structure.An instructive procedure is described for finding the optimal configuration which gives the maximum absolute bandgap Δω=0.091(2πc/α).     

D—Wave Kondo Problem in a Square Tight—Bounding Lattice

A Kondo model in a square tight-bonding lattice of conduction electrons is considered.The Kondo interaction takes a d-wave.Using mean-field theory and numerical simulations,it is found that there is a pseudo-gap for the impurity density of states at the Fermi level.Numerical results also show that the exponents of the lowtemperature thermodynamic quantities are non-universal but dependent on the interaction.     

Fabrication of Nanoparticle Pattern Through Atomic Force Microscopy Tip—Induced Deposition on Modified Silicon Surfaces

With an atomic force microscopy (AFM)tip used as a “nib” and gold colloidal particles as “ink”,patterns of gold colloidal particles have been deposited successfully from the AFM tip onto specific regions of silicon surfaces modified by bifunctional mercaptosilane,i.e.(3-mercaptopropyl)-triethoxysilane.This was used as an adhesion agent and can immobilize nanoparticles delivered from the AFM tip onto the substrate surface.     

Phase—Locking in Coupled Chaotic Oscillators

The transition from the phase-unlocking state to the phase-locking state is found at the desynchronization of synchronous chaos of coupled oscillators.In the phase-locking case,the motions of all oscillators are chaotic and desynchronized,however spatial ordering is identified in their phase distribution.     

Electronic Transmission Properties of Two—Dimensional Quasi—Lattice

In the framework of the tight binding model,the electronic transmission properties of two-dimensional Penrose lattices with free boundary conditions are studied using the generalized eigenfunction method (Phys.Rev.B 60(1999)13 444).The electronic transmission coefficients for Penrose lattices with different sizes and widths are calculated,and the result shows strong energy dependence because of the quasiperiodic structure and quantum coherent effect.Around the Fermi level E=0,there is an energy region with zero transmission amplitudes,which suggests that the studied systems are insulating.The spatial distributions of several typical electronic states with different transmission coefficients are plotted to display the propagation process.