One-Dimensional and Two-Dimensional Quantum Systems on Carbon Nanotube Bundles

2005 ◽  
Vol 95 (18) ◽  
Author(s):  
J. V. Pearce ◽  
M. A. Adams ◽  
O. E. Vilches ◽  
M. R. Johnson ◽  
H. R. Glyde
1999 ◽  
Vol 82 (26) ◽  
pp. 5305-5308 ◽  
Author(s):  
W. Teizer ◽  
R. B. Hallock ◽  
E. Dujardin ◽  
T. W. Ebbesen

2008 ◽  
Vol 01 (01) ◽  
pp. 71-76 ◽  
Author(s):  
JIAQI GUO ◽  
XINWEI WANG ◽  
DAVID B. GEOHEGAN ◽  
GYULA ERES

A novel transient technique is developed to measure the thermal diffusivity of one-dimensional microscale wires. In this technique, a pulsed nanosecond laser is used to quickly heat the wire. After laser heating, the wire temperature decays slowly. Such temperature decay is sensed and used to determine the thermal diffusivity of the wire. A 25.4 μm thin Pt wire is characterized to verify this technique. The thermal diffusivity of multi-wall carbon nanotube bundles is measured. Based on the measurement result and the inside structure, the thermal diffusivity of individual carbon nanotubes is estimated.


2015 ◽  
Vol 2015 ◽  
pp. 1-18 ◽  
Author(s):  
J. Hutchinson ◽  
J. P. Keating ◽  
F. Mezzadri

We exploit mappings between quantum and classical systems in order to obtain a class of two-dimensional classical systems characterised by long-range interactions and with critical properties equivalent to those of the class of one-dimensional quantum systems treated by the authors in a previous publication. In particular, we use three approaches: the Trotter-Suzuki mapping, the method of coherent states, and a calculation based on commuting the quantum Hamiltonian with the transfer matrix of a classical system. This enables us to establish universality of certain critical phenomena by extension from the results in the companion paper for the classical systems identified.


2017 ◽  
Vol 29 (2) ◽  
pp. 025704 ◽  
Author(s):  
Congpu Mu ◽  
Jiefang Song ◽  
Bochong Wang ◽  
Can Zhang ◽  
Jianyong Xiang ◽  
...  

2016 ◽  
Vol 42 (2) ◽  
pp. 94-98 ◽  
Author(s):  
M. I. Bagatskii ◽  
V. V. Sumarokov ◽  
M. S. Barabashko

2021 ◽  
pp. 2150284
Author(s):  
Chen Chen ◽  
Guojun Gao ◽  
Ying Wang ◽  
Yuqi Pan ◽  
Shuyu Zhou

In this work, we investigated one-dimensional and two-dimensional quantum systems with higher-order dispersions and higher-order nonlinear interactions. Based on the high-order nonlinear Schrödinger equation (NLSE) and via the [Formula: see text]-expansion method, we derived the analytical dark soliton solution for the one-dimensional system first. By applying the self-similar method and using the results of the one-dimensional case, the analytical dark soliton solution of the system in the two-dimensional case was derived. The dynamic evolution pattern of the two-dimensional dark soliton is pictorially demonstrated. The theoretical results of our work can be used to guide the detection and experimental study of dark soliton in a two-dimensional quantum system, using high-order dispersion and higher-order nonlinear interactions.


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