SCATTERING AND TUNNELING IN ACTIVE SYSTEMS

2011 ◽  
Vol 25 (20) ◽  
pp. 1691-1700 ◽  
Author(s):  
Y. BENNABI ◽  
A. B. HAMMOU ◽  
N. ZEKRI
Keyword(s):  
Resonant Tunneling ◽  
Double Barrier ◽  
Absorption Region ◽  
Active Systems ◽  
One Dimensional ◽  
Resonant Transmission ◽  
Tunneling Energy ◽  
Rectangular Barrier ◽  
Transmission Phase ◽  
Transmission And Reflection

The scattering properties of one-dimensional potential with gain are studied by using a Schrödinger-like equation. The corresponding Hamiltonian is non-Hermitian with a real energy spectrum. The amplification-absorption duality previously observed is interpreted in terms of the transmission and reflection phases. For a rectangular barrier, the transmission phase oscillates with the barrier width as for passive systems, but the oscillations period is significantly reduced in the absorption region. In this region the reflection phase vanishes and the multiple scattering and interferences dominate. The gain effect is also investigated for double barrier structures as well as superlattices with active potentials. It is found that resonant tunneling energy and the mini-band width are not influenced by the gain, but the transmission is enhanced for small values of the potential imaginary part. For large values, the resonant transmission significantly decreases and the mini-bands disappear.

Resonant tunneling transients and decay for a one-dimensional double barrier potential

2005 ◽  
Vol 97 (1) ◽  
pp. 013705 ◽  
Author(s):  
F. Delgado ◽  
J. G. Muga ◽  
D. G. Austing ◽  
G. García-Calderón
Keyword(s):  
Resonant Tunneling ◽  
Double Barrier ◽  
One Dimensional ◽  
Barrier Potential

scholarly journals Admittance of a one-dimensional double-barrier resonant tunneling nanostructure

2002 ◽  
Vol 65 (23) ◽  
Author(s):  
W. Z. Shangguan ◽  
T. C. Au Yeung ◽  
Y. B. Yu ◽  
C. H. Kam ◽  
Xuean Zhao
Keyword(s):  
Resonant Tunneling ◽  
Double Barrier ◽  
One Dimensional ◽  
Double Barrier Resonant Tunneling

scholarly journals RECURRENCE IN RESONANT TRANSMISSION OF ONE-DIMENSIONAL ARRAY OF DELTA POTENTIALS

2014 ◽  
Vol 28 (02) ◽  
pp. 1450016 ◽  
Author(s):  
GUILLERMO CORDOURIER-MARURI ◽  
VIRENDRA GUPTA ◽  
ROMEO DE COSS
Keyword(s):  
Transfer Matrix ◽  
Bound State ◽  
Transcendental Equation ◽  
Matrix Formulation ◽  
One Dimensional ◽  
Dimensional Array ◽  
Resonant Transmission ◽  
Moving Particle ◽  
Tunneling Energy ◽  
Quasi Bound State

In this paper, the resonant transmission of a moving particle which interacts with a one-dimensional array of N δ-function potentials is investigated. A suitable transfer matrix formulation is used to obtain the particle transmission. We give the parameters for perfect tunneling and the transcendental equation for the quasi-bound state energies for N = 2, 3 and 4. Conditions for perfect tunneling and resonant transmission are discussed for arrays with arbitrary N. A model to explain how the tunneling energy filter works in these systems is proposed here.

UNITY RESONANCE AND UNDER-UNITY RESONANCE CONDITIONS IN ASYMMETRICAL DOUBLE-BARRIER STRUCTURES

1995 ◽  
Vol 09 (17) ◽  
pp. 2119-2137 ◽  
Author(s):  
X.D. ZHAO ◽  
H. YAMAMOTO ◽  
K. TANIGUCHI
Keyword(s):  
Resonant Tunneling ◽  
Resonance Condition ◽  
Mass Difference ◽  
Wave Functions ◽  
Double Barrier ◽  
At Resonance ◽  
Resonant Transmission ◽  
Arbitrary Potential ◽  
Analytical Expressions ◽  
Peak Value

Resonant tunneling is studied theoretically in asymmetrical double-barrier structures with arbitrary potential profile. Analytical expressions of the transmission coefficient and resonance condition are derived by taking into account the mass difference between the well and barrier layers. It is confirmed that resonant tunneling with unity resonant transmission or under-unity resonant transmission may occur in asymmetrical double-barrier structures. Two independent conditions are required for unity resonant transmission: one is the Phase Difference Condition for Resonance (PDCR) and the other is the Maximum Condition for the Peak Value (MCPV). The under-unity resonant transmission occurs when only PDCR holds. Furthermore, wave functions of an electron at resonance level are calculated and the confining phenomenon is studied.

NOVEL FLUX INDUCED RESONANT TUNNELING IN THE MESOSCOPIC RING CONFINED BETWEEN POTENTIAL BARRIERS

1995 ◽  
Vol 09 (20) ◽  
pp. 2719-2734 ◽  
Author(s):  
ALMAS F. SADREEV ◽  
VALERY A. VID’MANOV
Keyword(s):  
Magnetic Flux ◽  
Transport Properties ◽  
Resonant Tunneling ◽  
Quantization Condition ◽  
Double Barrier ◽  
One Dimensional ◽  
Potential Barriers ◽  
Mesoscopic Ring ◽  
Aharonov Bohm ◽  
Double Barrier Structure

Transport properties of mesoscopic rings confined between potential barriers are considered. Also considered is the double barrier structure with barriers fabricated of rings connected by a one-dimensional wire. Such structures we define as Aharonov-Bohm diodes with resonant tunneling (ABDRT) because for zero external magnetic flux their transport properties are quite similar to diodes with resonant tunneling (DRT). However, application of external magnetic flux gives rise to new resonant peaks of transmission determined by the quantization condition of the rings. Positions and widths of these novel flux induced resonant peaks extremely depend on the flux.

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