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Our current research interests are concentrated in the following areas of Condensed Matter Theory: polariton propagation and localization in impure crystals, polariton optics of quantum heterostructures, localization properties of one-dimensional systems, and wave propagation in random materials.
Recently with Lev Deych we discovered that electromagnetic waves that propagate in crystals in the form of polaritons can give rise to states localized on impurities. This means that if such a state is excited, the electromagnetic oscillations do not propagate through the crystal but occupy some region around an impurity for a long time. We numerically and analytically (with Lev Deych and Alexey Yamilov) demonstrated that these local states result in resonance tunneling of electromagnetic waves through polariton gaps. These are surprising results since propagation of electromagnetic waves with macroscopically long wavelength is dramatically effected by microscopic impurities. Using the concept of local polaritons we explained decades-old experiments of mixed crystals spectra.
Localization properties of one-dimensional disordered system are considered as well understood. With Lev Deych and Dmitry Zaslavsky we demonstrated that it is not so. Using numerical Monte Carlo simulations we showed that random periodic-on-average systems, even for a locally weak scattering, do not obey single parameter scaling and do not demonstrate the universal behavior, as they are expected. Moreover, opposite to general belief, universality tends to restore with an increase of disorder. We explain these results (with Boris Altshuler and Lev Deych) by deriving, for the first time, an exact criterion for a single parameter scaling in one-dimensional disordered systems.
We are interested in correlation phenomena, effects of material microstructure, absorption and boundaries on waves traveling in random media. Taking reflection into account enabled us together with the experimental group of Azriel Genack to determine such fundamental characteristics of wave propagation in random media as the mean free path and transport velocity. We have achieved excellent agreement between theory and experiment in both the microwave and optical regions of the electromagnetic spectrum. With Dmitry Livdan (
Together with Demetris Nicolaides we investigated an exactly solvable model of phase transitions. Using our model we were able to confirm a series of results of renormalization theory. These results include the appearance of phase transitions of the first order driven by critical fluctuations in some systems and the influence of random fields on critical behavior at phase transitions. The advantage of our approach is that it is simpler and more transparent than renormalization theory and, since the model can be solved exactly, it explicitly yields all thermodynamic functions in the vicinity of the phase transition. The model allows us to study critical phenomena in systems with complex symmetry in the presence of random fields. Due to their complexity these phenomena cannot be studied in the framework of renormalization theory.
Publications:
Books:
Fluctuation effects in systems with competing interactions, Yu.M. Ivanchenko, A.A. Lisyansky, and A.E. Filippov (Naukova Dumka, Kiev, 1989) [In Russian].
Physics of Critical Fluctuations, Yu.M. Ivanchenko and A.A. Lisyansky (Springer, NY, 1995)
Selected recent articles:
Tailoring surfaces of one-dimensional magnetophotonic crystals: Optical Tamm state and Faraday rotation,T. Goto, A.V. Baryshev, M. Inoue, A.V. Dorofeenko,A.M. Merzlikin, A.P. Vinogradov, A.A. Lisyansky, and A.B. Granovsky, Phys. Rev. B, 79, 125103 (2009) (Selected to be Editor’s Suggestion.)
Radiative energy transfer in disordered photonic crystals, M. V. Erementchouk, L. I. Deych, H. Noh, H. Cao, and A. A. Lisyansky, J. Phys.: Condens. Matter, 21, 175401 (2009).
Optical Tamm States in One-Dimensional Magnetophotonic Structures, T. Goto, A.V. Dorofeenko, A. M. Merzlikin, A.V. Baryshev, A. P. Vinogradov, M. Inoue, A. A. Lisyansky, and A. B. Granovsky, Phys. Rev. Lett., 101, 113902 (2008).
Photonic crystals built on contrast in attenuation, S.G. Erokhin, A.A. Lisyansky, A.M. Merzlikin, A.P. Vinogradov, and A. B. Granovsky, Phys. Rev. B, 77, 233102 (2008).
Exciton luminescence in one-dimensional resonant photonic crystals: A phenomenological approach, L.I. Deych, M.V. Erementchouk, A.A. Lisyansky, E.L. Ivchenko, M.M. Voronov, Phys. Rev. B, 76, (2007). Also in Virtual Journal of Nanoscale Science & Technology, 16, No. 12.
Full-wave analysis of imaging by the Pendry-Ramakrishna stackable lens, A.V. Dorofeenko, A.A. Lisyansky, A.M. Merzlikin, and A.P. Vinogradov, Phys. Rev. B 73, 235126 (2006).
Surface state peculiarities at one-dimensional photonic crystal interfaces, A.P. Vinogradov, A.V. Dorofeenko, S.G. Erokhin, M. Inoue, A.A. Lisyansky, A.M. Merzlikin, and A.B. Granovsky, Phys. Rev. B, 74, 045128 (2006). Also in Virtual Journal of Nanoscale Science & Technology, 14, No. 7.
Photoluminescence spectroscopy of one-dimensional resonant photonic crystals, M.M. Voronov, E.L. Ivchenko, M.V. Erementchouk, L.I. Deych, A.A. Lisyansky, J. Luminescence, 125, 112-117 (2006).
Self-consistent approach for calculations of exciton binding energy in quantum wells, I.V. Ponomarev, V. Shuvaev, L.I. Deych, and A.A. Lisyansky, J. Physics E, 2005, 25, 539.
Effect of interwall surface roughness correlations on optical spectra of quantum well excitons, I.V. Ponomarev, L.I. Deych, and A.A. Lisyansky, Phys. Rev. B, 2005, 71, 155303.
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) 2005, 2, 805.
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, 2005, 71, 235335.
Electric-field-induced narrowing of exciton line width, I. Ponomarev, L.I. Deych, and A.A. Lisyansky, Phys. Rev. B, 2005, 72, 115304.
Screening of external electric field by photoinduced carriers in Bragg multiple quantum wells, V.I. Puller, L.I. Deych, M.V. Erementchouk, and A.A. Lisyansky, Appl. Phys. Lett., 87,052104 (2005).
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, 75308.
Restoration of the continuous phase transition induced by frozen disorder in three-dimensional systems with two interacting order parameters, D. Nicolaides and A.A. Lisyansky, Phys. Rev. B, 2004, 70, 054401.
Multiple-quantum-well-based photonic crystals with simple and compound elementary supercells, E.L. Ivchenko, M.M. Voronov, M.V. Erementchouk, L.I. Deych, and A.A. Lisyansky, Phys. Rev. B, 2004, 70, 195106.
Interface disorder and inhomogeneous broadening of quantum well excitons: Do narrow lines always imply high quality interfaces?, I. V. Ponomarev, L. I. Deych, and A. A. Lisyansky, Appl. Phys. Lett., 2004, 85.2496.
Scaling properties of the one-directional Anderson model with correlated diagonal disorder, L.I. Deych, M.V. Erementchouk, and A.A. Lisyansky, Phys. Rev. B, 2003, 67, 024205.
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.
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.
Scaling and fluctuations of the Lyapunov exponent in a 2D Anderson localization problem, Y. Asada, K. Slevin, T. Ohtsuki, L.I. Deych, A.A. Lisyansky, and B.L. Altshuler, J. Phys Soc. Jpn. 2003, 72 (Suppl. A) p. 173.
Statistics of transmission in one-dimensional disordered systems: universal characteristics of states in the fluctuation tails, L.I. Deych, M.V. Erementchouk, A.A. Lisyansky, A. Yamilov, and H. Cao, Phys. Rev. B, 2003, 68, 174203.
Spectral engineering with multiple quantum well structures, L.I. Deych, M.V. Erementchouk, and A.A. Lisyansky, Appl. Phys. Lett., 2003, 83, 4562.
Optical spectra and inhomogeneous broadening in CdTe/CdZnTe MQW structures with defects, Lev I Deych, Alexey Yamilov and A A Lisyansky, Nanotechnology, 13, 114 (2002).
Scaling in one-dimensional localized absorbing systems, L.I. Deych, A. Yamilov, and A.A. Lisyansky, Phys. Rev. B, 63, 024201(5) (2001).
Local polariton modes and resonant tunneling of electromagnetic waves through periodic Bragg multiple quantum well structures, L.I. Deych, A. Yamilov, and A.A. Lisyansky, Phys. Rev. B, 64, 075321(13) (2001).
Tunable local polariton modes in semiconductors, M. Foygel, L.I. Deych, A. Yamilov, and A.A. Lisyansky, Phys. Rev. B, 64, 115203(6) (2001).
Single parameter scaling in one-dimensional Anderson localization: Exact analytical solution, L.I. Deych, A.A. Lisyansky, and B.L. Altshuler, Phys. Rev. B, 64, 224202(2001).
Single parameter scaling in one-dimensional localization revisited, L.I. Deych, A.A. Lisyansky, and B.L. Altshuler, Phys. Rev. Lett., 84, 2678 (2000).
Impurity-induced polaritons in a one-dimensional chain, A. Yamilov, L.I. Deych, and A.A. Lisyansky, J. Opt. Soc. Amer. B, 17, 1498 (2000).
Polariton dispersion law in long Bragg and almost Bragg multiple quantum well structures, L.I. Deych and A.A. Lisyansky, Phys. Rev. B, 62, 4242 (2000).
Concept of local polaritons and optical properties of mixed polar crystals, A. Yamilov, L.I. Deych, and A.A. Lisyansky, Phys. Rev. B, 62, 6301 (2000).
Polariton local states in periodic Bragg multiple quantum well structures, L.I. Deych, A. Yamilov, and A.A. Lisyansky, Optics Lett., 25, 1705 (2000).
Cubic anisotropic magnets with a random field, D. Nicolaides and A.A. Lisyansky, J. Appl. Phys. A, 85, 6067 (1999).
Defect-induced resonant tunneling of electromagnetic waves through a polariton gap, L.I. Deych, A. Yamilov, and A.A. Lisyansky, Europhys. Lett., 46, 524 (1999).
Effects of resonant tunneling in electromagnetic wave propagation through a polariton gap, L.I. Deych, A. Yamilov, and A.A. Lisyansky, Phys. Rev. B, 59, 11339 (1999).
A new criterion for single parameter scaling, L.I. Deych, A.A. Lisyansky, and B.L. Altshuler, Ann. Phys., 8, 53 (1999).
Local polariton states in polar crystals with impurities, L.I. Deych and A.A. Lisyansky, Phys. Lett. A, 240, 329 (1998).
Local polariton states in impure ionic crystals, V.S. Podolsky, L.I. Deych and A.A. Lisyansky, Phys. Rev. B, 57, 5168 (1998).
Resonance tunneling of polaritons in 1-D chain with a single defect, L.I. Deych and A.A. Lisyansky, Phys. Lett. A, 243, 156 (1998).
Resonant tunneling of electromagnetic waves through polariton gaps, L.I. Deych, D. Livdan and A.A. Lisyansky, Phys. Rev. E, 57, 7254 (1998).
Statistics of the Lyapunov exponent in 1-D random periodic-on-average systems, L.I. Deych, D. Zaslavsky, and A.A. Lisyansky, Phys. Rev. Lett., 81, 5390 (1998).
Random path averaging in multiple-scattering theory, V.S. Podolsky and A.A. Lisyansky, Phys. Rev. B, 55, 3574 (1997).
Wave localization in generalized Thue-Morse superlattices with disorder, L.I. Deych, D. Zaslavsky, and A.A. Lisyansky, Phys. Rev. E, 56, 4780 (1997).
Diffusion of classical waves in random media with microstructure resonances, D. Livdan and A.A. Lisyansky, J. Opt. Soc. Am. A, 13, 844 (1996).
Fluctuation effects in the Ising model with reduced interaction and quenched disorder, D. Nicolaides and A.A. Lisyansky, Phys. Rev. B, 53, 8168 (1996).
Transport properties of waves in absorbing random media with microstructure, D. Livdan and A.A. Lisyansky, Phys. Rev. B, 53, 14843 (1996).
Transfer matrix of a spherical scatterer, V. Podolsky and A.A. Lisyansky, Phys. Rev. B, 54, 12125 (1996).
Disorder-induced polaritons, L.I. Deych and A.A. Lisyansky, Phys. Lett. A, 220, 125 (1996).
Measuring the transport mean free path using a reference random media, A.A. Lisyansky, J.H. Li and A.Z. Genack, Optics Lett., 20, 4 (1995).
Random-field effects in critical phenomena. Exactly solvable model, D. Nicolaides and A.A. Lisyansky, Phys. Lett. A, 201, 365 (1995).
Effect of Absorption on the Diffusion Coefficient of Classical Waves in Random Media with Microstructure, D. Livdan and A.A. Lisyansky, J. Opt. Soc. Am. B, 12, 2426 (1995).
Generalized renormalization group equation for systems of arbitrary symmetry, A.A. Lisyansky and D. Nicolaides, Int. J. Theor. Phys., 33, 2399 (1994).
Bicritical points in an exactly solvable mode, A.A. Lisyansky and D. Nicolaides, Phys. Lett. A, 173, 179 (1993).
Influence of internal reflection on correlation of intensity fluctuation of electromagnetic waves in random media, A.A. Lisyansky and D. Livdan, Phys. Rev. B 1993, 47, 14157 (1993).
Transmission, Reflection and Surface Intensity Profiles in Random Media, J.H. Li, A.A. Lisyansky, D. Livdan, T.D. Cheung, and A.Z. Genack, Europhys. Lett., 22, 675 (1993).
Magnetic phase transitions with final ordering: the critical behavior peculiarities, V.L. Sobolev, I.M. Vitebsky, and A.A. Lisyansky, Phys. Rev. B 47, 8653 (1993).
Renormalization group equations in local approximation, A.A. Lisyansky, Yu.M. Ivanchenko, and A.E. Filippov, J. Stat. Phys., 66, 1667 (1992).
Generalized renormalization scheme at the Ginzburg-Landau-Wilson model, Yu.M. Ivanchenko and A.A. Lisyansky, Phys. Rev. A, 45, 8525 (1992).
Intensity correlations in wave propagation through random media with internal reflection, A.A. Lisyansky and D. Livdan, Phys. Lett. A, 170, 53 (1992).
Measurement of the photon transport mean free path, N. Garcia, A.Z. Genack, and A.A. Lisyansky, Phys. Rev. B, 46, 14475 (1992).
- M. S. in Physics, Donetsk State University, Donetsk, Ukraine - 1973
- Ph. D. in Physics, Donetsk State University, Donetsk, Ukraine - 1977
- Doctor of Physical & Mathematical Sciences, Institute for Physics and Engineering of the Academy of Sciences, Donetsk, Ukraine - 1988
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