Curvature, hybridization, and STM images of carbon nanotubes

The curvature effects in carbon nanotubes are studied analytically as a function of chirality. The pi-orbitals are found to be significantly rehybridized in all tubes, so that they are never normal to the tubes' surface. This results in a curvature induced gap in the electronic band-structure, which turns out to be larger than previous estimates. The tilting of the pi-orbitals should be observable by atomic resolution scanning tunneling microscopy measurements.Comment: Four pages in revtex format including four epsfig-embedded figures. The latest version in PDF format is available from http://fy.chalmers.se/~eggert/papers/hybrid.pd

Electronic Structure of Carbon Nanotube Ropes

We present a tight binding theory to analyze the motion of electrons between carbon nanotubes bundled into a carbon nanotube rope. The theory is developed starting from a description of the propagating Bloch waves on ideal tubes, and the effects of intertube motion are treated perturbatively in this basis. Expressions for the interwall tunneling amplitudes between states on neighboring tubes are derived which show the dependence on chiral angles and intratube crystal momenta. We find that conservation of crystal momentum along the tube direction suppresses interwall coherence in a carbon nanorope containing tubes with random chiralities. Numerical calculations are presented which indicate that electronic states in a rope are localized in the transverse direction with a coherence length corresponding to a tube diameter.Comment: 15 pages, 10 eps figure

Mechanically induced current and quantum evaporation from Luttinger liquids

We investigate transport through a tunnelling junction between an uncorrelated metallic lead and a Luttinger liquid when the latter is subjected to a time dependent perturbation. The tunnelling current as well as the electron energy distribution function are found to be strongly affected by the perturbation due to generation of harmonics in the density oscillations. Using a semiconducting lead instead of a metallic one results in electrons being injected into the lead even without applied voltage. Some applications to carbon nanotubes are discussed.Comment: 7 pages, 2 figures (eps files

``X-Ray Edge'' Singularities in Nanotubes and Quantum Wires with Multiple Subbands

Band theory predicts an inverse square root van Hove singularity in the tunneling density of states at the minimum energy of an unoccupied subband in a one-dimensional quantum wire. With interactions, an orthogonality catastrophe analogous to the x-ray edge effect for core levels in a metal strongly reduces this singularity by a power B of the energy above threshold, with B approximately 0.3 for typical carbon nanotubes. Despite the anomalous tunneling characteristic, good quasiparticles corresponding to the unoccupied subband states do exist.Comment: 4 page

Charge Screening Effect in Metallic Carbon Nanotubes

Charge screening effect in metallic carbon nanotubes is investigated in a model including the one-dimensional long-range Coulomb interaction. It is pointed out that an external charge which is being fixed spatially is screened by internal electrons so that the resulting object becomes electrically neutral. We found that the screening length is given by about the diameter of a nanotube.Comment: 11 pages, 6 figure

Topological Phase Transition and Electrically Tunable Diamagnetism in Silicene

Silicene is a monolayer of silicon atoms forming a honeycomb lattice. The lattice is actually made of two sublattices with a tiny separation. Silicene is a topological insulator, which is characterized by a full insulating gap in the bulk and helical gapless edges. It undergoes a phase transition from a topological insulator to a band insulator by applying external electric field. Analyzing the spin Chern number based on the effective Dirac theory, we find their origin to be a pseudospin meron in the momentum space. The peudospin degree of freedom arises from the two-sublattice structure. Our analysis makes clear the mechanism how a phase transition occurs from a topological insulator to a band insulator under increasing electric field. We propose a method to determine the critical electric field with the aid of diamagnetism of silicene. Diamagnetism is tunable by the external electric field, and exhibits a singular behaviour at the critical electric field. Our result is important also from the viewpoint of cross correlation between electric field and magnetism. Our finding will be important for future electro-magnetic correlated devices.Comment: 4 pages,5 figure

Coupled Hartree-Fock-Bogoliubov kinetic equations for a trapped Bose gas

Using the Kadanoff-Baym non-equilibrium Green's function formalism, we derive the self-consistent Hartree-Fock-Bogoliubov (HFB) collisionless kinetic equations and the associated equation of motion for the condensate wavefunction for a trapped Bose-condensed gas. Our work generalizes earlier work by Kane and Kadanoff (KK) for a uniform Bose gas. We include the off-diagonal (anomalous) pair correlations, and thus we have to introduce an off-diagonal distribution function in addition to the normal (diagonal) distribution function. This results in two coupled kinetic equations. If the off-diagonal distribution function can be neglected as a higher-order contribution, we obtain the semi-classical kinetic equation recently used by Zaremba, Griffin and Nikuni (based on the simpler Popov approximation). We discuss the static local equilibrium solution of our coupled HFB kinetic equations within the semi-classical approximation. We also verify that a solution is the rigid in-phase oscillation of the equilibrium condensate and non-condensate density profiles, oscillating with the trap frequency.Comment: 25 page

Luttinger Parameter g for Metallic Carbon Nanotubes and Related Systems

The random phase approximation (RPA) theory is used to derive the Luttinger parameter g for metallic carbon nanotubes. The results are consistent with the Tomonaga-Luttinger models. All metallic carbon nanotubes, regardless if they are armchair tubes, zigzag tubes, or chiral tubes, should have the same Luttinger parameter g. However, a (10,10) carbon peapod should have a smaller g value than a (10,10) carbon nanotube. Changing the Fermi level by applying a gate voltage has only a second order effect on the g value. RPA theory is a valid approach to calculate plasmon energy in carbon nanotube systems, regardless if the ground state is a Luttinger liquid or Fermi liquid. (This paper was published in PRB 66, 193405 (2002). However, Eqs. (6), (9), and (19) were misprinted there.)Comment: 2 figure

Hydrology and Meteorology of the Central Alaskan Arctic: Data Collection and Analysis

The availability of environmental data for unpopulated areas of Alaska can best be described as sparse; however, these areas have resource development potential. The central Alaskan Arctic region north of the Brooks Range (referred to as the North Slope) is no exception in terms of both environmental data and resource potential. This area was the focus of considerable oil/gas exploration immediately following World War II. Unfortunately, very little environmental data were collected in parallel with the exploration. Soon after the oil discovery at Prudhoe Bay in November 1968, the U.S. Geological Survey (USGS) started collecting discharge data at three sites in the neighborhood of Prudhoe Bay and one small watershed near Barrow. However, little complementary meteorological data (like precipitation) were collected to support the streamflow observations. In 1985, through a series of funded research projects, researchers at the University of Alaska Fairbanks (UAF), Water and Environmental Research Center (WERC), began installing meteorological stations on the North Slope in the central Alaskan Arctic. The number of stations installed ranged from 1 in 1985 to 3 in 1986, 12 in 1996, 24 in 2006, 23 in 2010, and 7 in 2014. Researchers from WERC also collected hydrological data at the following streams: Imnavait Creek (1985 to present), Upper Kuparuk River (1993 to present), Putuligayuk River (1999 to present, earlier gauged by USGS), Kadleroshilik River (2006 to 2010), Shaviovik River (2006 to 2010), No Name River (2006 to 2010), Chandler River (2009 to 2013), Anaktuvuk River (2009 to 2013), Lower Itkillik River (2012 to 2013), and Upper Itkillik River (2009 to 2013). These catchments vary in size, and runoff generation can emanate from the coastal plain, the foothills or mountains, or any combination of these locations. Snowmelt runoff in late May/early June is the most significant hydrological event of the year, except at small watersheds. For these watersheds, rain/mixed snow events in July and August have produced the floods of record. Ice jams are a major concern, especially in the larger river systems. Solid cold season precipitation is mostly uniform over the area, while warm season precipitation is greater in the mountains and foothills than on the coastal plain (roughly 3:2:1, mountains:foothills: coastal plain).The results reported here are primarily for the drainages of the Itkillik, Anaktuvuk, and Chandler River basins, where a proposed transportation corridor is being considered. Results for 2011 and before can be found in earlier reports.ABSTRACT ..................................................................................................................................... i LIST OF FIGURES ........................................................................................................................ v LIST OF TABLES .......................................................................................................................... x ACKNOWLEDGMENTS AND DISCLAIMER ........................................................................ xiii CONVERSION FACTORS, UNITS, WATER QUALITY UNITS, VERTICAL AND HORIZONTAL DATUM, ABBREVIATIONS, AND SYMBOLS ........................................... xiv ABBREVIATIONS, ACRONYMS, AND SYMBOLS .............................................................. xvi 1 INTRODUCTION ................................................................................................................... 1 2 PRIOR RELATED PUBLICATIONS .................................................................................... 5 3 STUDY AREA ........................................................................................................................ 7 4 PREVIOUS STUDIES .......................................................................................................... 11 5 METHODOLOGY AND EQUIPMENT .............................................................................. 15 5.1 Acoustic Doppler Current Profiler ................................................................................. 17 5.2 Discharge Measurements ............................................................................................... 17 5.3 Suspended Sediments ..................................................................................................... 20 5.3.1 River Sediment ........................................................................................................ 21 5.3.2 Suspended Sediment Observations ......................................................................... 21 5.3.3 Suspended Sediment Discharge .............................................................................. 22 5.3.4 Turbidity ................................................................................................................. 23 5.3.5 Bed Sediment Distribution ...................................................................................... 23 5.3.6 Suspended Sediment Grain-Size Distribution ........................................................ 24 6 RESULTS .............................................................................................................................. 25 6.1 Air Temperature and Relative Humidity ........................................................................ 25 6.2 Wind Speed and Direction ............................................................................................. 30 6.3 Net Radiation .................................................................................................................. 38 6.4 Warm Season Precipitation ............................................................................................ 40 6.5 Cold Season Precipitation .............................................................................................. 46 6.6 Annual Precipitation ....................................................................................................... 52 6.7 Soil ................................................................................................................................. 55 6.7.1 Soil Temperature ..................................................................................................... 56 6.7.1.1 Results ................................................................................................................. 57 6.7.2 Soil Moisture ........................................................................................................... 60 6.7.2.1 Results ................................................................................................................. 61 6.8 North Slope Climatology ............................................................................................... 63 6.8.1 Air Temperature ...................................................................................................... 63 6.8.2 Precipitation ............................................................................................................ 65 6.8.2.1 Warm Season Precipitation ................................................................................. 65 6.8.2.2 Cold Season Precipitation ................................................................................... 68 6.8.2.3 Annual Total Precipitation .................................................................................. 70 6.9 Surface Water Hydrology ............................................................................................... 72 6.9.1 Itkillik River ............................................................................................................ 73 6.9.2 Upper Itkillik River ................................................................................................. 74 6.9.2.1 Dye Trace Results, Upper Itkillik River .............................................................. 81 6.9.3 Lower Itkillik River 2013 Breakup and Spring Flood ............................................ 84 6.9.4 Anaktuvuk River ..................................................................................................... 91 6.9.5 Chandler River ...................................................................................................... 100 6.9.6 Additional Field Observations .............................................................................. 107 6.10 River Sediment Results ................................................................................................ 117 6.10.1 Correlation between Isco and Depth-Integrated Samples ..................................... 117 6.10.2 Suspended Sediment Rating Curves ..................................................................... 118 6.10.3 Suspended Sediment Concentrations .................................................................... 119 6.10.4 Suspended Sediment Discharge ............................................................................ 125 6.10.5 Turbidity ............................................................................................................... 129 6.10.6 Bed Sediment Distribution .................................................................................... 134 6.10.7 Suspended Sediment Grain-Size Distribution ...................................................... 136 7 HYDROLOGIC ANALYSIS .............................................................................................. 139 7.1 Precipitation Frequency Analysis ................................................................................. 139 7.2 Manning’s Roughness Coefficient (n) Calculations Revisited .................................... 142 7.3 Hydrological Modeling ................................................................................................ 147 8 CONCLUSIONS ................................................................................................................. 157 9 REFERENCES .................................................................................................................... 163 10 APPENDICES ..................................................................................................................... 169 Appendix A – Air Temperature and Relative Humidity Appendix B – Wind Speed and Direction: Wind Roses Appendix C – Cumulative Warm Season Precipitation for All Years at Each Station and Cumulative Warm Season Precipitation by Year for All Stations, 2007 to 2013 Appendix D – Soil Temperature and Moisture Content Appendix E – Rating Curves and Discharge Measurement Summarie

Van Hove Singularities in disordered multichannel quantum wires and nanotubes

We present a theory for the van Hove singularity (VHS) in the tunneling density of states (TDOS) of disordered multichannel quantum wires, in particular multi-wall carbon nanotubes. We assume close-by gates which screen off electron-electron interactions. Diagrammatic perturbation theory within a non-crossing approximation yields analytical expressions governing the disorder-induced broadening and shift of VHS's as new subbands are opened. This problem is nontrivial because the (lowest-order) Born approximation breaks down close to the VHS. Interestingly, compared to the bulk case, the boundary TDOS shows drastically altered VHS, even in the clean limit.Comment: 4 pages, 2 figures, accepted with revisions in PR