Abstract.
We consider a T-shaped, one-dimensional quantum waveguide containing an attractive or repulsive impurity in the lateral stub, and study how the resonance poles move in the complex k-plane when the strength or the position of the defect changes. Similarities and differences with respect to standard potential scattering problems are highlighted.
Similar content being viewed by others
References
S. Datta, Electronic Transport in Mesoscopic systems (Cambridge University Press, Cambridge, 1995)
D.K. Ferry, M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, 1997)
R. Büttiker, Y. Imry, R. Landauer, S. Pinhas, Phys. Rev. B 31, 6207 (1985)
F. Sols, M. Macucci, U. Ravaioli, K. Hess, J. Appl. Phys. 66, 3892 (1989)
H. Wu, D.W.L. Sprung, J. Martorell, S. Klarsfeld, Phys. Rev. B 44, 6351 (1991)
P. Debray, O.E. Raichev, P. Vasilopoulos, M. Rahman, R. Perrin, W.C. Mitchell, Phys. Rev. B 61, 10950 (2000)
X.F. Wang, P. Vasilopoulos, F.M. Peeters, Phys. Rev. B 65, 165217 (2002)
S. Rotter, J.-Z. Tang, L. Wirtz, J. Trost, J. Burgdörfer, Phys. Rev. B 62, 1950 (2000)
S. Rotter, B.W. Weingartner, N. Rohringer, J. Burgdörfer, Phys. Rev. B 68, 165302 (2003)
B.W. Weingartner, S. Rotter, J. Burgdörfer, Phys. Rev. B 72, 115342 (2005)
D.Y.K. Ko, J.C. Inkson, Phys. Rev. B 38, 9945 (1988)
J.U. Nöckel, A.D. Stone, Phys. Rev. B 50, 17415 (1994)
W. Porod, Z. Shao, C.S. Lent, Phys. Rev. B 48, 8495 (1993)
Z. Shao, W. Porod, C.S. Lent, Phys. Rev. B 49, 7453 (1994)
H.M. Nussenzveig, Nucl. Phys. 11, 499 (1959)
H.M. Nussenzveig, Causality and dispersion relations (Academic Press, New York, 1972)
R.G. Newton, Scattering Theory of Waves and Particles (Springer, New York, 1982), pp. 331–401
J.E. Avron, A. Raveh, B. Zur, Rev. Mod. Phys. 60, 873 (1988)
F. Dittes, Phys. Rep. 339, 215 (2000)
W.-D. Sheng, J.-B. Xia, J. Phys.: Condens. Matter 8, 3635 (1996)
U. Fano, Phys. Rev. 124, 1866 (1961)
K. Kobayashi, H. Aikawa, A. Sano, S. Katsumoto, Y. Iye, Phys. Rev. B 70, 035319 (2004)
J. Okołowicz, M. Płoszajczak, I. Rotter, Phys. Rep. 374, 271 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cattapan, G., Lotti, P. & Pascolini, A. S-matrix pole trajectories in quantum wires with resonantly coupled cavities. Eur. Phys. J. B 53, 387–394 (2006). https://doi.org/10.1140/epjb/e2006-00394-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2006-00394-3