Our research interests cover two broad areas: propagation of electrons and electromagnetic waves in disordered materials, and optical properties and device applications of multiple quantum wells and optical microcavities. In the first of these areas we are interested in the situation when electrons or light remains localized within certain region due to interference effects caused by the disorder induced multiple scattering. This effect is called Anderson localization. An important consequence of the Anderson localization is the presence of very strong sample-to-sample fluctuations of conductance of electrons (or transmission coefficient of light). These fluctuations make meaningless any description of the conductance/transmission by some average quantities. Instead, one has to study the entire distribution function. In collaboration with Professors Alex Lisyansky (Queens College) and Boris Altshuler (Princeton University) we studied how this distribution function depends upon energy of electrons or frequency of electromagnetic waves. Using combination of analytical and numerical methods we found that the distribution function can be characterized by only two macroscopic parameters, localization length, and the integral density of states. In the future we plan to continue studying one-dimensional systems with the purpose of exploring universality of our previous results. This subject is particularly suitable for involving undergraduate and graduate students in our research. We also intend to expand our research in this area to two- and three- dimensional systems, which we will do in collaboration with Professor Keith Slevin from the University of Osaka, Japan. Our research efforts in the field of multiple quantum wells and optical microcavities is focused upon optical properties of so called Bragg Multiple Quantum Wells. These are periodic structures consisting of very thin (about 10 nm) layers of one semiconductor (wells) separated by wider (about 100 nm) layers of other semiconductors (barriers). When the period of such a structure is made equal to the half wavelength of light emitted by excitons confined inside wells, the structure is called Bragg structure, because the light emitted by the structure is in the resonance (called Bragg resonance) with the period of the structure. In our previous works done in collaboration with Professor Alex Lisyansky and his former graduate student Alexey Yamilov (currently a post doc at Northwestern University) we showed that inserting various types of defects in such structures one can significantly vary its optical spectra. This property makes these structures promising for a variety of different optoelectronic applications. Our future research in this area will be concentrated upon electro-optical properties of such systems with the objective of designing structures suitable for switching and modulating applications. This research is supported by the Air Force Research Office. 

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Selected articles:

1. Single parameter scaling in one-dimensional localization revisited, L.I. Deych, A.A. Lisyansky, and B.L. Altshuler, Phys. Rev. Lett., 84, 2678 (2000).
2. Polariton Dispersion Law in Long Bragg and almost Bragg Multiple Quantum Well Structures, L.I. Deych and A.A. Lisyansky, Phys. Rev. B, Phys. Rev. B, 62, 4242 (2000).
3. Concept of local polaritons and optical properties of mixed polar crystals, A. Yamilov, L.I. Deych, and A.A. Lisyansky, Phys. Rev. B, Phys. Rev. B, 62, 6301 (2000).
4. Scaling in the one-dimensional Anderson localization problem in the region of fluctuation states, L.I. Deych, M.V. Erementchouk, and A.A. Lisyansky. Phys. Rev. Lett., 2003, 90, 126601
5. Scaling and the center-of-band anomaly in a one-dimensional Anderson model with diagonal disorder, L.I. Deych, M.V. Erementchouk, A.A. Lisyansky, and B.L. Altshuler, Phys. Rev. Lett., 2003 91, 096601 (2003)
6. Statistics of transmission in one-dimensional disordered systems: Universal characteristics of states in the fluctuation tails, L.I. Deych, M.V. Erementchouk, and A.A. Lisyansky, A. Yamilov, H. Cao, Phys. Rev. B, 2003, 68, 174203
7. Spectral engineering with multiple quantum well structures, L.I. Deych, M.V. Erementchouk, and A.A. Lisyansky, Appl. Phys. Lett. 2003, 83, 4562
8. Effects of inhomogeneous broadening on reflection spectra of Bragg multiple quantum well structures with a defect, L.I. Deych, M.V. Erementchouk, and A.A. Lisyansky, Phys. Rev. B, 2004, 69, 075308
9. Fluctuations of the Lyapunov exponent in 2D disordered systems, K. Slevin, Y. Asada, L.I. Deych, Phys. Rev. B, 2004, 70, 054201
10. Effect of inter-wall surface roughness correlations on optical spectra of quantum well excitons, I. Ponomarev, L.I. Deych, A.A. Lisyansky, Appl. Phys. Lett., 2004, 85, 2496
11. Multiple-quantum-well-based photonic crystals with simple and compound elementary supercells, E.L Ivchenko, M.M. Voronov, M.E. Erementchouk, L.I. Deych, A.A. Lisyansky, Phys. Rev. B 70, 195106 (2004)
12. Complex scaling approach for the quantum confined Stark effect in quantum wells, L.I. Deych, I. Ponomarev, Phys. Rev. B, 71, 035342 (2005)
13. Self-consistent approach for calculations of exciton binding energy in quantum wells, I. Ponomarev, L.I. Deych, V. Shuvayev, A.A. Lisyansky, Physica E, 25, 539 (2005)
14. One-dimensional photonic crystals based on periodic multiple quantum well structures, L. I. Deych, M. V. Erementchouk, E. L. Ivchenko, A. A. Lisyansky, M. M. Voronov, phys. stat. sol. (c) 2, 805 (2005).
15. Effect of inter-wall surface roughness correlations on optical spectra of quantum well excitons, I. Ponomarev, L.I. Deych, A.A. Lisyansky, Phys. Rev. B, 71, 155303 (2005)
16. Optical properties of one-dimensional photonic crystals based on multiple-quantum-well structures, M.V. Erementchouk, L.I. Deych and A.A. Lisyansky, Phys. Rev. B 71, 235335 (2005)
17. Electric field induced narrowing of exciton line width, I. Ponomarev, L.I. Deych, A.A. Lisyansky, cond-mat/0408296
18. Effects of spatial non-uniformity on laser dynamics, L.I. Deych, Phys. Rev. Lett. 95, 043902 (2005)

Full list of publications can be found here (PDF file)

Recent talks:

1. Multiple-quantum-well-based photonic crystals with simple and compound elementary supercells, International Conference PLMCN-4, St. Petersburg, Russia, July, 2004
2. Multimode behavior in random lasers. OSA annual meeting “Frontiers in Optics”, Rochester, October, 2004
3. Polariton spectrum of one-dimensional photonic crystals based on MQW structures. OSA annual meeting “Frontiers in Optics”, Rochester, October, 2004
4. Mode coupling in random lasers, Invited talk, Norfolk University, September, 2004
5. Effects of spatial nonuniformity of cavity dielectric constant on lasing dynamics. Invited talk, Conference on Complex Medium VI: Light and complexity, part of the SPIE International Symposium on Optics & Photonics, San Diego, August 2005

Full list of conferences and other talks can be found here (PDF file)

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• M. S. in Physics, Tajik State University , Dushanbe , 1982
• Ph. D. in Physics, Kirensky Institute of Physics, Krasnoyarsk , 1991

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SB B222; (718) 997-3380;

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This semester I am teaching College Physics, Phys.146 and Quantrum Mechanics 365&625. The course information can be found on CUNY's Blackboard website

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