scholarly journals ELECTRONIC STRUCTURE OF FINITE-LENGTH CARBON NANOTUBES: CROSSOVER FROM FULLERENES TO NANOTUBES

NANO ◽  
2007 ◽  
Vol 02 (01) ◽  
pp. 51-57 ◽  
Author(s):  
SUSUMU OKADA
Keyword(s):  
Carbon Nanotubes ◽  
Aspect Ratio ◽  
Finite Length ◽  
Tight Binding ◽  
Finite Size ◽  
Tube Length ◽  
Electron Systems ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Cylindrical Region

Finite-size effects in armchair (n,n) carbon nanotubes are studied as a function of the tube length by using the generalized tight-binding calculations. End structures of the tubes considered here are caps formed from hemispherical pieces of Ih fullerenes and hydrogen-free open ends. It has been clarified that the dimensionality in electronic structures of the finite-length nanotubes only depends on an aspect ratio of the tube diameter to the length of the cylindrical region. The aspect ratio where the finite-length tubes exhibit one-dimensional properties is found to be about four. The results corroborate that the nanotubes with their length of 10–100 nm experimentally observed could be regarded as one-dimensional electron systems.

scholarly journals Numerical Simulation of Non-Equilibrium Stationary Currents Through Nano-scale One-Dimensional Chains

2020 ◽  
Vol 233 ◽  
pp. 05010
Author(s):  
João Pedro dos Santos Pires ◽  
Bruno Amorim ◽  
João Manuel Viana Parente Lopes
Keyword(s):  
Numerical Simulation ◽  
Size Effects ◽  
Tight Binding ◽  
Finite Size ◽  
Initial Condition ◽  
Zero Temperature ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Open Boundaries ◽  
The One

Using a method based on the time-evolution of the occupied states at zero temperature, we observe the onset of a quasi-uniform and quasisteady state current across a disordered tight-binding chain, coupled between two finite (but large) clean leads with open boundaries. This current is seen to match the one obtained in the Landauer-Büttiker formalism and is also independent of the initial condition considered (partitioned or non-partitioned). Finite-size effects are also reported and briefly discussed.

Method to correct finite-size effects in many electron systems

Scilight ◽  
2021 ◽  
Vol 2021 (15) ◽  
pp. 151105
Author(s):  
Allison Gasparini
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Electron Systems ◽  
Finite Size Effects

scholarly journals Realization of pristine and locally tunable one-dimensional electron systems in carbon nanotubes

2013 ◽  
Vol 8 (8) ◽  
pp. 569-574 ◽  
Author(s):  
J. Waissman ◽  
M. Honig ◽  
S. Pecker ◽  
A. Benyamini ◽  
A. Hamo ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Electron Systems ◽  
Dimensional Electron ◽  
One Dimensional

scholarly journals Finite-size effects on topological interface states in one-dimensional scattering systems

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
P. A. Kalozoumis ◽  
G. Theocharis ◽  
V. Achilleos ◽  
S. Félix ◽  
O. Richoux ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Interface States ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Scattering Systems

scholarly journals Suppression of finite-size effects in one-dimensional correlated systems

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
A. Gendiar ◽  
M. Daniška ◽  
Y. Lee ◽  
T. Nishino
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Correlated Systems ◽  
One Dimensional

scholarly journals Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime

2016 ◽  
Vol 30 (22) ◽  
pp. 1650307 ◽  
Author(s):  
Elías Castellanos
Keyword(s):  
Ground State ◽  
Size Effects ◽  
Finite Size ◽  
Einstein Condensate ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Low Dimensional ◽  
Bose Einstein

We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

Band Structures of Carbon Nanotubes with Nanoscale Periodic Pores Depending on their Circumferences

2003 ◽  
Vol 02 (01n02) ◽  
pp. 109-116
Author(s):  
Hiroyuki Takeda ◽  
Katsumi Yoshino
Keyword(s):  
Carbon Nanotubes ◽  
Tight Binding ◽  
Band Gaps ◽  
Band Structures ◽  
Electronic Band ◽  
Tight Binding Approximation ◽  
One Dimensional ◽  
Flat Bands ◽  
Porous Graphite ◽  
Electronic Band Structures

We theoretically evaluate the electronic band structures in carbon nanotubes with nanoscale periodic pores with a tight-binding approximation of π electrons, and demonstrate that band gaps of the carbon nanotubes with nanoscale periodic pores differ significantly from those of conventional carbon nanotubes. The band gaps of the carbon nanotubes with nanoscale periodic pores depend strongly on the size of pores and inter-pore distances. In some carbon nanotubes with nanoscale periodic pores, band gaps are constant as a function of their circumferences. In other ones, band gaps have the exact periodicity of three as a function of their circumferences. Those behaviors can be explained by taking properties of nanoscale periodic porous graphite into consideration. In some carbon nanotubes with relatively large nanoscale periodic pores, flat bands appear, which may cause singular properties about magnetism in one-dimensional porous carbon nanotubes.

scholarly journals Intermittency and Critical Scaling in Annular Couette Flow

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 988 ◽  
Author(s):  
Kazuki Takeda ◽  
Yohann Duguet ◽  
Takahiro Tsukahara
Keyword(s):  
Couette Flow ◽  
Finite Size ◽  
Radius Ratio ◽  
Small Radius ◽  
Plane Couette Flow ◽  
Confinement Effects ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Onset Of Turbulence ◽  
Annular Geometry

The onset of turbulence in subcritical shear flows is one of the most puzzling manifestations of critical phenomena in fluid dynamics. The present study focuses on the Couette flow inside an infinitely long annular geometry where the inner rod moves with constant velocity and entrains fluid, by means of direct numerical simulation. Although for a radius ratio close to unity the system is similar to plane Couette flow, a qualitatively novel regime is identified for small radius ratio, featuring no oblique bands. An analysis of finite-size effects is carried out based on an artificial increase of the perimeter. Statistics of the turbulent fraction and of the laminar gap distributions are shown both with and without such confinement effects. For the wider domains, they display a cross-over from exponential to algebraic scaling. The data suggest that the onset of the original regime is consistent with the dynamics of one-dimensional directed percolation at onset, yet with additional frustration due to azimuthal confinement effects.

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