scholarly journals A Theory of a One-Dimensional System of Interacting Electrons in a 2kF-Periodic Potential

1984 ◽  
Vol 71 (4) ◽  
pp. 677-688 ◽  
Author(s):  
T. Sugiyama ◽  
J. Kumagai ◽  
K. Okamoto
Keyword(s):  
Periodic Potential ◽  
Dimensional System ◽  
One Dimensional ◽  
Interacting Electrons

scholarly journals Bandgap Tunability in a One-Dimensional System

2018 ◽  
Vol 3 (4) ◽  
pp. 34
Author(s):  
Payal Wadhwa ◽  
Shailesh Kumar ◽  
T.J. Kumar ◽  
Alok Shukla ◽  
Rakesh Kumar
Keyword(s):  
Solar Cells ◽  
Periodic Potential ◽  
Functional Group ◽  
Potential Profile ◽  
Dimensional System ◽  
Natural Polymers ◽  
One Dimensional ◽  
Direct Bandgap ◽  
Inorganic Systems ◽  
Theoretical Investigations

The ability to tune the gaps of direct bandgap materials has tremendous potential for applications in the fields of LEDs and solar cells. However, lack of reproducibility of bandgaps due to quantum confinement observed in experiments on reduced dimensional materials, severely affects tunability of their bandgaps. In this article, we report broad theoretical investigations of direct bandgap one-dimensional functionalized isomeric system using their periodic potential profile, where bandgap tunability is demonstrated simply by modifying the potential profile by changing the position of the functional group in a periodic supercell. We found that bandgap in one-dimensional isomeric systems having the same functional group depends upon the width and depth of the deepest potential well at global minimum and derived correlations are verified for known synthetic as well as natural polymers (biological and organic), and also for other one-dimensional direct bandgap systems. This insight would greatly help experimentalists in designing new isomeric systems with different bandgap values for polymers and one-dimensional inorganic systems for possible applications in LEDs and solar cells.

Transmission of interacting electrons through a one-dimensional periodic potential

1996 ◽  
Vol 53 (23) ◽  
pp. 15462-15465 ◽  
Author(s):  
Y. Takagaki ◽  
Y. Tokura ◽  
S. Tarucha
Keyword(s):  
Periodic Potential ◽  
One Dimensional ◽  
Interacting Electrons

Magnetic Transitions in High-Tc Superconductors

1987 ◽  
Vol 99 ◽  
Author(s):  
R. A. Barrio ◽  
C. Wang ◽  
J. Tagüeña-Martinez ◽  
D. Rios-Jara ◽  
T. Akachi ◽  
...  
Keyword(s):  
Dimensional System ◽  
Magnetic Transitions ◽  
High Tc Superconductors ◽  
Electron Pairs ◽  
High Tc ◽  
One Dimensional ◽  
Superconducting Ceramics ◽  
Self Consistent ◽  
Interacting Electrons

ABSTRACTBased on very recent experimental evidence about magnetic transitions in high-Tc superconductors the role of superconductivity and magnetism is analyzed. A model of interacting electrons in a one-dimensional system is constructed, taking into account that antiferromagnetic interactions in the underlying lattice are present. The origin of this antiferromagnetism could be due to local Y d-electrons or rare earth f-electrons, related to the structure. Self-consistent calculations in this model show the possibility of a new state, with a gap, in which there are electron pairs. The characteristics of this new state are discussed in relation to superconductivity. The results of this model suggest that an extension of it could be applied to the new superconducting ceramics.

Stabilization of Dominant Structures in an Ionic Reaction-Diffusion System

1998 ◽  
Vol 63 (6) ◽  
pp. 761-769 ◽  
Author(s):  
Roland Krämer ◽  
Arno F. Münster
Keyword(s):  
Reaction Diffusion ◽  
Dominant Mode ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Local Perturbation ◽  
Dimensional System ◽  
One Dimensional ◽  
Brusselator Model ◽  
The One ◽  
Dominant Structure

We describe a method of stabilizing the dominant structure in a chaotic reaction-diffusion system, where the underlying nonlinear dynamics needs not to be known. The dominant mode is identified by the Karhunen-Loeve decomposition, also known as orthogonal decomposition. Using a ionic version of the Brusselator model in a spatially one-dimensional system, our control strategy is based on perturbations derived from the amplitude function of the dominant spatial mode. The perturbation is used in two different ways: A global perturbation is realized by forcing an electric current through the one-dimensional system, whereas the local perturbation is performed by modulating concentrations of the autocatalyst at the boundaries. Only the global method enhances the contribution of the dominant mode to the total fluctuation energy. On the other hand, the local method leads to simple bulk oscillation of the entire system.

scholarly journals Topological phase transition between a normal insulator and a topological metal state in a quasi-one-dimensional system

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Milad Jangjan ◽  
Mir Vahid Hosseini
Keyword(s):  
Phase Transition ◽  
Dimensional System ◽  
Inversion Symmetry ◽  
Topological Phase ◽  
Edge States ◽  
Zero Energy ◽  
One Dimensional ◽  
Topological Phase Transition ◽  
Metal State ◽  
Topological Metal

AbstractWe theoretically report the finding of a new kind of topological phase transition between a normal insulator and a topological metal state where the closing-reopening of bandgap is accompanied by passing the Fermi level through an additional band. The resulting nontrivial topological metal phase is characterized by stable zero-energy localized edge states that exist within the full gapless bulk states. Such states living on a quasi-one-dimensional system with three sublattices per unit cell are protected by hidden inversion symmetry. While other required symmetries such as chiral, particle-hole, or full inversion symmetry are absent in the system.

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