The E6E_6 state sum invariant of lens spaces

In this paper, we calculate the values of the $E_6$ state sum invariants for the lens spaces $L(p,q)$. In particular, we show that the values of the invariants are determined by $p \mod 12$ and $q \mod (p,12)$. As a corollary, we show that the $E_6$ state sum is a homotopy invariant for the oriented lens spaces.Comment: 6 pages, 0 figure

Spatially-Coupled MacKay-Neal Codes with No Bit Nodes of Degree Two Achieve the Capacity of BEC

Obata et al. proved that spatially-coupled (SC) MacKay-Neal (MN) codes achieve the capacity of BEC. However, the SC-MN codes codes have many variable nodes of degree two and have higher error floors. In this paper, we prove that SC-MN codes with no variable nodes of degree two achieve the capacity of BEC

The development of “Ultimate Rudder” for EEDI

EEDI (Energy Efficiency Design Index) came into effect mandatory in Jan. 2013, and the ship owners definitely required a higher efficiency propulsion system than ever before. Hence, the shipyards have been conducting an optimization of ESD (Energy Saving Device) system in self-propulsion test for each project. As the results, the shipyards have installed a rudder bulb as an effective ESD. The rudder bulb is a popular ESD system from a long time ago. Mewis1) described that the rudder bulb was developed by Costa in 1952 and the efficiency improve by the rudder bulb for a container vessel was 1% on average. Fujii et al.2) developed “MIPB (Mitsui Integrated Propeller Boss)” as an advanced rudder bulb. The feature of MIPB was a streamlined profile from propeller cap to rudder. According to their paper, the efficiency improve by installing MIPB was 2-4%. Recently, NAKASHIMA PROPELLER Co., Ltd. developed ECO-Cap (economical propeller cap)3) as a new ESD with FRP (Fiber Reinforced Plastics). The strength of FRP is higher than that of NAB (Nickel Aluminium Bronze), therefore ECO-Cap was able to adopt thin fins on propeller caps for low resistance. Although the material used for the energy- saving propeller cap was generally NAB, the research results on FRP showed that FRP could be used as ESD due to their properties such as lightweight and flexibility. As explained above, the authors thought that there was a possibility to evolve the rudder bulb profile using the easily moldable FRP compared with NAB. This paper described about the development of “Ultimate Rudder” of new design concept by FRP. The authors optimized the profile of “Ultimate Rudder” by CFD and confirmed the efficiency increase from 4.9 to 5.4% in self-propulsion test

Study on the rudder characteristics of ultimate rudder by numerical calculation

The authors invented Ultimate Rudder3) as the rudder with bulb. The authors calculated the rudder characteristics of the normal rudder and Ultimate Rudder by CFD at several steering angles and compared these values. The result showed that regardless of the presence or absence of the bulb, signs of separation appear on the control surface with a steering angle of 20 deg. to 30 deg. and regarding the steering torque coefficient, it was found that the steering torque coefficient of Ultimate Rudder is larger than the normal Rudder when the steering angle is less than 20 deg. and also the steering torque coefficient can be decreased by changing the shape of the rudder bulb

Common mechanism for helical nanotube formation by anodic polymerization and by cathodic deposition using helical pores on silicon electrodes

We report that platinum-assisted chemical etching formed self-organized helical pores in silicon substrates can be utilized as platforms for the electrochemical production of nanohelices of conducting polymers (polypyrrole) and metals (gold). Surprisingly, the nanohelices thus created are tubes although the polymerization and deposition were carried out by anodic and cathodic reactions, respectively. Based on our results, we propose a common mechanism for the formation of tubular nanohelices by both anodic polymerization and cathodic deposition through the accumulation of reactants in microporous silicon which covers the wall surface of the helical pores

Photoemission Angular Distribution Beyond the Single Wavevector Description of Photoelectron Final States

We develop a novel simulation procedure for angle-resolved photoemission spectroscopy (ARPES), where a photoelectron wave function is set to be an outgoing plane wave in a vacuum associated with the emitted photoelectron wave packet. ARPES measurements on the transition metal dichalcogenide $1T$-$\mathrm{Ti}\mathrm{S}_2$ are performed, and our simulations exhibit good agreement with experiments. Analysis of our calculated final state wave functions quantitatively visualizes that they include various waves due to the boundary condition and the uneven crystal potential. These results show that a more detailed investigation of the photoelectron final states is necessary to fully explain the photon-energy- and light-polarization-dependent ARPES spectra.Comment: 6+14 pages, 4+15 figure

Broken Screw Rotational Symmetry in the Near-Surface Electronic Structure of ABAB-Stacked Crystals

We investigate the electronic structure of $2H$-$\mathrm{Nb}\mathrm{S}_2$ and $h$$\mathrm{BN}$ by angle-resolved photoemission spectroscopy (ARPES) and photoemission intensity calculations. Although in bulk form, these materials are expected to exhibit band degeneracy in the $k_z=\pi/c$ plane due to screw rotation and time-reversal symmetries, we observe gapped band dispersion near the surface. We extract from first-principles calculations the near-surface electronic structure probed by ARPES and find that the calculated photoemission spectra from the near-surface region reproduce the gapped ARPES spectra. Our results show that the near-surface electronic structure can be qualitatively different from the bulk one due to partially broken nonsymmorphic symmetries.Comment: 6+11 pages, 4+13 figure

Devil's staircase transition of the electronic structures in CeSb

Solids with competing interactions often undergo complex phase transitions with a variety of long-periodic modulations. Among such transition, devil's staircase is the most complex phenomenon, and for it, CeSb is the most famous material, where a number of the distinct phases with long-periodic magnetostructures sequentially appear below the Neel temperature. An evolution of the low-energy electronic structure going through the devil's staircase is of special interest, which has, however, been elusive so far despite the 40-years of intense researches. Here we use bulk-sensitive angle-resolved photoemission spectroscopy and reveal the devil's staircase transition of the electronic structures. The magnetic reconstruction dramatically alters the band dispersions at each transition. We moreover find that the well-defined band picture largely collapses around the Fermi energy under the long-periodic modulation of the transitional phase, while it recovers at the transition into the lowest-temperature ground state. Our data provide the first direct evidence for a significant reorganization of the electronic structures and spectral functions occurring during the devil's staircase.Comment: 22 pages, 5 figure