Abstract
We review recent experimental and theoretical investigations of the ultrafast nonlinear optical response of the two-dimensional electron gas (2DEG) in the quantum Hall effect regime. We have investigated the dynamics of the strong 2DEG correlations using ultrafast time-resolved four-wave mixing experiments in GaAs-AlGaAs modulation-doped quantum wells. We discuss how the correlations lead to memory effects and to a strong resonant coupling between the two lowest Landau level magnetoexcitons. We compare our experimental results with simulations based on a recent theory of the nonlinear optical response of systems with a strongly correlated ground state and find a good qualitative agreement.
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References
T. Chakraborty and P. Pietiläinen, The Quantum Hall Effects (Springer, Berlin, Heidelberg, New York, 1995 ).
Perspectives in Quantum Hall Effects,edited by Das Sarma and A. Pinczuk (Wiley, New York, 1997).
H.L. Stormer, D.C. Tsui, and A.C. Gossard, Rev. Mod. Phys. 71, 8298 (1999).
S. Mukamel, Principles of nonlinear optical spectroscopy ( Oxford University Press, New York, 1995 ).
D.S. Chemla and J. Shah, Nature (London) 411, 549 (2001), and references therein.
D.S. Chemla, in Nonlinear Optics in Semiconductors,edited by E. Garmire and A. Kost (Academic Press, San Diego, 1999), Vol. 58, p. 175, and references therein.
J. Shah, Ultrafast spectroscopy of semiconductors and semiconductor nano-structures (Springer, Berlin, New York, 1999 ).
N.A. Fromer, C. Schuller, D.S. Chemla, T.V. Shahbazyan, I.E. Perakis, K. Maranowski, and A.C. Gossard, Phys. Rev. Lett. 83, 4646 (1999).
N.A. Fromer, C. Schuller, D.S. Chemla, T.V. Shahbazyan, I.E. Perakis, D. Driscoll, and A.C. Gossard, Physica E 12, 550 (2002).
N.A. Fromer, C.W. Lai, D.S. Chemla, I.E. Perakis, D. Driscoll and A.C. Gossard, Phys. Rev. Lett. 89, 067401 (2002).
A.T. Karathanos, I.E. Perakis, N.A. Fromer, and D.S. Chemla, Phys. Rev. B 67, 035316 (2003).
N.A. Fromer, C. Schuller, D.S. Chemla, I.E. Perakis, D. Driscoll, and A.C. Gossard, Phys. Rev. B 66, 205314 (2002).
I.E. Perakis and D.S. Chemla, Phys. Stat. Sol. B 234, 242 (2002).
L.J. Sham, Phys. Rev. 150, 720 (1966).
see, e.g., V.M. Axt and S. Mukamel, Rev. Mod. Phys. 70, 145 (1998), and references therein.
I. Balslev and E. Hanamura, Solid State Commun. 72, 843 (1989).
V.M. Axt and A. Stahl, Z. Phys. B: Condens. Matter 93, 195 (1994); 93, 205 (1994);
K. Victor, V.M. Axt, and A. Stahl, Phys. Rev. B 51, 14164 (1995).
W. Schäfer, D.S. Kim, J. Shah, T.C. Damen, J.E. Cunningham, K.W. Goosen, L.N. Pfeiffer, and K. Kohler, Phys. Rev. B 53, 16429 (1996).
D.-S. Kim, J. Shah, J.E. Cunningham, T.C. Damen, S. Schmitt-Rink, and W. Schäfer, Phys. Rev. Lett. 68, 2838 (1992).
H. Wang, J. Shah, T.C. Damen, S.W. Pierson, T.L. Reinecke, L.N. Pfeiffer, and K. West, Phys. Rev. B 52, R17013 (1995).
I.E. Perakis and D.S. Chemla, Phys. Rev. Lett. 72, 3202 (1994);
I.E. Perakis, I. Brener, W.H. Knox, and D.S. Chemla, J. Opt. Soc. Am. B 13, 1313 (1996).
I. Brener, W.H. Knox, and W. Schaefer, Phys. Rev. B 51, 2005 (1995).
T.V. Shahbazyan, N. Primozich, I.E. Perakis, and D.S. Chemla, Phys. Rev. Lett. 84, 2006 (2000);
N. Primozich, T.V. Shahbazyan, I.E. Perakis, and D.S. Chemla, Phys. Rev. B 61, 2041 (2000).
I.E. Perakis and T.V. Shahbazyan, Surf. Sci. Reports 40, 1–74 (2000); Int. J. Mod. Phys. B 13, 869–893 (1999);
I.E. Perakis, Chem. Phys. 210, 259 277 (1996).
A.J. Turberfield, S.R. Haynes, P.A. Wright, R.A. Ford, R.G. Clark, J.F. Ryan, J.J. Harris, and C.T. Foxon, Phys. Rev. Lett. 65, 637 (1990).
B.B. Goldberg, D. Heiman, A. Pinczuk, L. Pfeiffer, and K. West, Phys. Rev. Lett. 65, 641 (1990).
I.V. Kukushkin, R.J. Haug, K. v. Klitzing, and K. Ploog, Phys. Rev. Lett. 72, 736 (1994); Phys. Rev. Lett. 72, 3594 (1994).
C. Schuller, K.-B. Broocks, Ch. Heyn, and D. Heitmann, Phys. Rev. B 65, 081301 (R) (2002).
K.-B. Broocks, P. Schröter, D. Heitmann, Ch. Heyn, C. Schuller, M. Bichler, and W. Wegscheider, Phys. Rev. B 66, 041309 (R) (2002).
S.R.E. Yang and L.J. Sham, Phys. Rev. Lett. 58, 2598 (1987).
B.B. Goldberg, D. Heiman, M.J. Graf, D.A. Broido, A. Pinczuk, C.W. Tu, J.H. English, and A.C. Gossard, Phys. Rev. B 38, 10131 (1988).
I.V. Lerner and Yu.E. Lozovik, Zh. Exp. Teor. Fiz. 80, 1488 (1981) [Sov. Phys. JETP 53, 763 (1981)].
S.M. Girvin, A.H. MacDonald, and P.M. Platzman, Phys. Rev. Lett. 54, 581 (1985).
R. Haussmann, Phys. Rev. B 53, 7357 (1996).
A. Pinczuk, B.S. Dennis, L.N. Pfeiffer, and K. West, Phys. Rev. Lett. 70, 3983 (1993).
M. Potemski, R. Stepniewski, J.C. Maan, G. Martinez, P. Wyder, and B. Etienne, Phys. Rev. Lett. 66, 2239 (1991);
T.A. Vaughan, R.J. Nicholas, C.J.G.M. Langerak, B.N. Murdin, C.R. Pidgeon, N.J. Mason, and P.J. Walker, Phys. Rev. B 53, 16481 (1996).
H. Haug and A.-P. Jauho, Quantum kinetics in transport and optics in semiconductors, Springer series in solid state sciences. vol. 123. Springer, Berlin, 1996.
S.M. Girvin, A.H. MacDonald, and P.M. Platzman, Puys. Rev. B 33. 2481 (1986).
C. Stafford, S. Schmitt-Rink, and W. Schaefer, Phys. Rev. B 41, 10001 ) (1990).
P. Kner, S. Bar-Ad, M.V. Marquezini, D.S. Chemla, R. Lövenich, and W. Schäfer, Phys. Rev. B 60, 4731 (1999); G. Bartels, A. Stahl, V.M. Axt, B. Haase, U. Neukirch, and J. Gutowski, Phys. Rev. Lett. 81, 5880 (1998);
V.M. Axt, S.R. Bolton, U. Neukirch, L.J. Sham, and D.S. Chemla, Puys. Rev. B 63, 115303 (2001), and references therein.
M. Levenson, Introduction to Nonlinear Laser Spectroscopy ( Academic Press, New York, 1982 ).
N.A. Framer, P. Kner, D.S. Chemla, R. Lövenich, and W. Schäfer, Phys. Rev. B 62, 2516 (2000).
T.V. Shahbazyan, N. Primozich, and I.E. Perakis, Phys. Rev. B 62, 15925 (2000).
A. Pinczuk, J.P. Valladares, D. Heiman, A.C. Dossard, J.H. English, C.W. Tu, L. Pfeiffer, and K. West, Phys. Rev. Lett. 61, 2701 (1988).
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Schüller, C., Fromer, N.A., Perakis, I.E., Chemla, D.S. (2004). Ultrafast Spectroscopy in the Quantum Hall Regime. In: Morawetz, K. (eds) Nonequilibrium Physics at Short Time Scales. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08990-3_12
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DOI: https://doi.org/10.1007/978-3-662-08990-3_12
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