Soliton-induced optical absorption of halogen-bridged mixed-valence binuclear metal complexes

Employing the one-dimensional single-band extended Peierls-Hubbard model, we investigate optical conductivity for solitonic excitations in halogen-bridged binuclear metal (MMX) complexes. Photoinduced soliton absorption spectra for MMX chains possibly split into two bands, forming a striking contrast to those for conventional mononuclear metal (MX) analogs, due to the broken electron-hole symmetry combined with relevant Coulomb and/or electron-phonon interactions.Comment: to be published in Phys. Rev. B 70, No. 7, August 15 (2004

Optimal damping algorithm for unrestricted Hartree-Fock calculations

We have developed a couple of optimal damping algorithms (ODAs) for unrestricted Hartree-Fock (UHF) calculations of open-shell molecular systems. A series of equations were derived for both concurrent and alternate constructions of alpha- and beta-Fock matrices in the integral-direct self-consistent-field (SCF) procedure. Several test calculations were performed to check the convergence behaviors. It was shown that the concurrent algorithm provides better performance than does the alternate one.Comment: 4 color figure

An ytterbium quantum gas microscope with narrow-line laser cooling

We demonstrate site-resolved imaging of individual bosonic $^{174}\mathrm{Yb}$ atoms in a Hubbard-regime two-dimensional optical lattice with a short lattice constant of 266 nm. To suppress the heating by probe light with the $^1S_0$-$^1P_1$ transition of the wavelength $\lambda$ = 399 nm for high-resolution imaging and preserve atoms at the same lattice sites during the fluorescence imaging, we simultaneously cool atoms by additionally applying narrow-line optical molasses with the $^1S_0$-$^3P_1$ transition of the wavelength $\lambda$ = 556 nm. We achieve a low temperature of $T = 7.4(1.3)\ \mu\mathrm{K}$, corresponding to a mean oscillation quantum number along the horizontal axes of 0.22(4) during imaging process. We detect on average 200 fluorescence photons from a single atom within 400 ms exposure time, and estimate the detection fidelity of 87(2)%. The realization of a quantum gas microscope with enough fidelity for Yb atoms in a Hubbard-regime optical lattice opens up the possibilities for studying various kinds of quantum many-body systems such as Bose and Fermi gases, and their mixtures, and also long-range-interacting systems such as Rydberg states.Comment: 14 pages, 6 figure

Photoinduced infrared absorption of quasi-one-dimensional halogen-bridged binuclear transition-metal complexes

We investigate the optical conductivity of photogenerated solitons in quasi-one-dimensional halogen-bridged binuclear transition-metal MMX complexes with particular emphasis on a comparison among the three distinct groups: A_4_[Pt_2_(P_2_O_5_H_2_)_4_X]nH_2_O (X=Cl,Br,I; A=Na,K,NH_4_,...), Pt_2_(RCS_2_)_4_I (R=C_n_H_2n+1_) and Ni_2_(CH_3_CS_2_)_4_I, which exhibit a mixed-valent ground state with the X sublattice dimerized, that with the M_2_ sublattice dimerized and a Mott-Hubbard magnetic ground state, respectively. Soliton-induced absorption spectra for A_4_[Pt_2_(P_2_O_5_H_2_)_4_X]nH_2_O should split into two bands, while that for Pt_2_(RCS_2_)_4_I and Ni_2_(CH_3_CS_2_)_4_I should consist of a single band. The excitonic effect is significant in Ni_2_(CH_3_CS_2_)_4_I.Comment: 4 pages, 3 figure

Bifractality of fractal scale-free networks

The presence of large-scale real-world networks with various architectures has motivated an active research towards a unified understanding of diverse topologies of networks. Such studies have revealed that many networks with the scale-free and fractal properties exhibit the structural multifractality, some of which are actually bifractal. Bifractality is a particular case of the multifractal property, where only two local fractal dimensions $d_{\text{f}}^{\text{min}}$ and $d_{\text{f}}^{\text{max}} (>d_{\text{f}}^{\text{min}}$) suffice to explain the structural inhomogeneity of a network. In this work, we investigate analytically and numerically the multifractal property of a wide range of fractal scale-free networks (FSFNs) including deterministic hierarchical, stochastic hierarchical, non-hierarchical, and real-world FSFNs. The results show that all these networks possess the bifractal nature. We infer from this fact that any FSFN is bifractal. Furthermore, we find that in the thermodynamic limit the lower local fractal dimension $d_{\text{f}}^{\text{min}}$ describes substructures around infinitely high-degree hub nodes and finite-degree nodes at finite distances from these hub nodes, whereas $d_{\text{f}}^{\text{max}}$ characterizes local fractality around finite-degree nodes infinitely far from the infinite-degree hub nodes. Since the bifractal nature of FSFNs may strongly influence time-dependent phenomena on FSFNs, our results will be useful for understanding dynamics such as information diffusion and synchronization on FSFNs from a unified perspective.Comment: 11 pages, 5 figure