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

scholarly journals Exact numerical diagonalization of one-dimensional interacting electrons non-adiabatically coupled to phonons

1996 ◽  
Vol 34 (2) ◽  
pp. 127-132 ◽  
Author(s):  
G.-P Borghi ◽  
A Girlando ◽  
A Painelli ◽  
J Voit
Keyword(s):  
One Dimensional ◽  
Interacting Electrons

scholarly journals Mott transition for strongly interacting one-dimensional bosons in a shallow periodic potential

2016 ◽  
Vol 93 (1) ◽  
Author(s):  
G. Boéris ◽  
L. Gori ◽  
M. D. Hoogerland ◽  
A. Kumar ◽  
E. Lucioni ◽  
...  
Keyword(s):  
Periodic Potential ◽  
Mott Transition ◽  
One Dimensional ◽  
Strongly Interacting

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.

One-Dimensional Schrödinger Equation with an Almost Periodic Potential

1983 ◽  
Vol 50 (23) ◽  
pp. 1873-1876 ◽  
Author(s):  
Stellan Ostlund ◽  
Rahul Pandit ◽  
David Rand ◽  
Hans Joachim Schellnhuber ◽  
Eric D. Siggia
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Periodic Potential ◽  
Almost Periodic ◽  
One Dimensional

Monte Carlo Modelling of Phase Transitions in Quasi-One-Dimensional Multiferoic

2016 ◽  
Vol 845 ◽  
pp. 158-161
Author(s):  
S.J. Lamekhov ◽  
Dmitry A. Kuzmin ◽  
Igor V. Bychkov ◽  
I.A. Maltsev ◽  
V.G. Shavrov
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Method ◽  
External Magnetic Field ◽  
Periodic Potential ◽  
One Dimensional ◽  
Field Modelling ◽  
Energy Components

Behavior of quasi-one-dimensional multiferoic Ca3CoMnO6 in external magnetic field was investigated. Modelling by Monte Carlo method was performed to show influence of external magnetic field on appearance of polarization and temperature of phase transition in electric subsystem. Magnetization, polarization and energy components for magnetic and electric subsystems dependencies were achieved for different values of external magnetic field. Modelling showed that periodic potential in form of Frenkel-Kontorova makes influence on maximal values and temperature of phase transitions for magnetization and polarization.

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