Subscribe Now Subscribe Today
Research Article
 

Floquet Scattering Through a Heterostructure in a Time-Periodic Potential



Z.I. Al-Sahhar and M.M. Shabat
 
Facebook Twitter Digg Reddit Linkedin StumbleUpon E-mail
ABSTRACT

We studied the resonances of a one-dimensional potential barrier driven by an external periodic force considering the Position Dependent Effective Mass (PDEM) formalism. The Floquet S matrix will be constructed then the transmission probabilities of our system are calculated. We found that the change in the effective mass of the square well does not vary the energy level where resonance occurs.

Services
Related Articles in ASCI
Similar Articles in this Journal
Search in Google Scholar
View Citation
Report Citation

 
  How to cite this article:

Z.I. Al-Sahhar and M.M. Shabat , 2008. Floquet Scattering Through a Heterostructure in a Time-Periodic Potential. Journal of Applied Sciences, 8: 1325-1328.

DOI: 10.3923/jas.2008.1325.1328

URL: https://scialert.net/abstract/?doi=jas.2008.1325.1328

REFERENCES
1:  Al-Sahhar, Z.I., 2006. New quantum waveguides theory for a time-periodic potential. Ph.D Thesis, Egypt

2:  Azbel, M.Y.A. and V.M. Tsukernik, 1998. Tunneling in an alternating potential: Multiple, fractal and chaotic activation resonances Europhys. Letter, 41: 7-7.

3:  Bagwell, P.F. and R.K. Lake, 1992. Resonances in transmission through an oscillating barrier. Phys. Rev., B, 46: 15329-15329.

4:  Birnir, B., B. Galdrikian, R. Grauer and M. Sherwin, 1993. Nonperturbative resonances in periodically driven quantum wells. Phys. Rev. B Condens Matter., 47: 6795-6795.
PubMed  |  

5:  Buttiker, M. and R. Landauer, 1982. Traversal time for tunneling. Phys. Rev. Lett., 49: 1739-1742.
CrossRef  |  Direct Link  |  

6:  Frensley, W.R., 1990. Boundary conditions for open quantum systems driven far from equilibrium. Rev. Mod. Phys., 62: 745-791.
CrossRef  |  Direct Link  |  

7:  Fuka, M.Z., J.K. McIver, W. Becker, M. Orszag and R. Ramírez, 1995. Driven particle in an infinite square well: Representation and breakdown of the invariant tori in a multiple-resonance case. Phys. Rev. E, 51: 1935-1935.
CrossRef  |  PubMed  |  

8:  Galdrikian, B., B. Birnirc and M. Sherwin, 1995. Self-consistent floquet states for periodically-driven quantum wells. Phys. Lett. A, 203: 319-332.
CrossRef  |  Direct Link  |  

9:  Holthaus, M. and D. Hone, 1993. Quantum wells and superlattices in strong time-dependent fields. Phys. Rev. B, 47: 6499-6508.
CrossRef  |  Direct Link  |  

10:  Kazanskii, A.K., V.N. Ostrovskii and E.A. Solovev, 1976. Passage of low-energy particles through a nonstationary potential barrier and the quasi-energy spectrum. Sov. Phys. JETP, 43: 254-254.

11:  Li, W. and L.E. Reichl, 1999. Floquet scattering through a time-periodic potential. Phys. Rev. B, 60: 15732-15741.
CrossRef  |  Direct Link  |  

12:  Lin, W.A. and L.E. Reichl, 1986. External field induced chaos in an infinite square well potential. Physica D, 19: 145-145.
CrossRef  |  Direct Link  |  

13:  Stovneng, J.A. and E.H. Hauge, 1989. The Buttiker-Landauer model generalized. J. Stat. Phys., 57: 841-863.
CrossRef  |  Direct Link  |  

14:  Timberlake, T. and L.E. Reichl, 1999. Changes in Floquet-state structure at avoided crossings: delocalization and harmonic generation. Phys. Rev. A, 59: 2886-2893.
CrossRef  |  Direct Link  |  

15:  Wagner, M., 1997. Can photon-assisted tunneling be observed in single barriers? Physica Status Solidi B, 204: 382-385.
CrossRef  |  Direct Link  |  

©  2021 Science Alert. All Rights Reserved