The Fano resonance involves the mixing between the continuum states of the elastic channel and a quasi-bound discrete state of the inelastic channel. The underlying ideas have recently attracted attention in connection with interference effects in quantum wires and mesoscopic transport phenomena. Simple toy models are discussed to illustrate the subtle aspects of the Fano resonance.
REFERENCES
1.
2.
3.
U.
Fano
, “Effects of configuration interaction on intensities and phase shifts
,” Phys. Rev.
124
, 1866
–1878
(1961
).4.
C. Fühner, U. F. Keyser, R. J. Haug, D. Reuter, and A. D. Wieck, “Phase measurements using two-channel Fano interference in a semiconductor quantum dot,” cond-mat/0307590.
5.
K.
Kobayashi
, Hisashi
Aikawa
, Shingo
Katsumoto
, and Yasuhiro
Iye
, “Tuning of the Fano effect through a quantum dot in an Aharonov-Bohm interferometer
,” Phys. Rev. Lett.
88
, 256806
-1
256806
-4
(2002
);K.
Kobayashi
, Hisashi
Aikawa
, Shingo
Katsumoto
, and Yasuhiro
Iye
, “Mesoscopic Fano effect in a quantum dot embedded in an Aharonov–Bohm ring
,” Phys. Rev. B
68
, 235304
-1
235304
-8
(2003
).6.
B. F.
Bayman
and C. J.
Mehoke
, “Quasibound-state resonances for a particle in a two-dimensional well
,” Am. J. Phys.
51
, 875
–883
(1983
).7.
Kurt Gottfried, Quantum Mechanics (Benjamin/Cummings, Boston, 1966), Vol. 1, pp. 131–143.
8.
J. W. Brown and R. V. Churchill, Complex Variables and Applications (McGraw-Hill, New York, 1996), 6th ed., pp. 176–179, 276–281.
9.
U.
Fano
and J. W.
Cooper
, “Spectral distribution of atomic oscillator strengths
,” Rev. Mod. Phys.
40
, 441
–507
(1968
).10.
S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge U.P., Cambridge, 1997), pp. 119–140.
This content is only available via PDF.
© 2004 American Association of Physics Teachers.
2004
American Association of Physics Teachers
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.
