Abstract
We derive the semiclassical equations of motion of a transverse acoustical wave packet propagating in a phononic crystal, subject to slowly varying perturbations. The formalism gives rise to Berry effect terms in the equations of motion, manifested as the Rytov polarization rotation law and the polarization-dependent Hall effect. We show that the formalism is also applicable to the case of non-periodic inhomogeneous media, yielding explicit expressions for the Berry effect terms.
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References
B. A. Auld, Acoustic Fields and Waves in Solids (Wiley, New York, 1973; Krieger, 1990).
S. M. Rytov, Dokl. Akad. Nauk. SSSR 18, 263 (1938).
A. Tomita and R. Y. Chiao, Phys. Rev. Lett. 57, 937 (1986).
R. Y. Chiao and Y. S. Wu, Phys. Rev. Lett. 57, 933 (1986).
F. D. M. Haldane, Opt. Lett. 11, 730 (1986).
M. V. Berry, Nature 326, 277 (1987).
J. Segert, Phys. Rev. A 36, 10 (1987).
V. S. Liberman and B. Ya. Zel’dovich, Phys. Rev. A 46, 5199 (1992).
K. Yu. Bliokh and Yu. P. Bliokh, Phys. Rev. E 70, 026605 (2004).
K. Yu. Bliokh and V. D. Freilikher, Phys. Rev. B 72, 035108 (2005).
M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. 93, 083901 (2004).
M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. E 74, 066610 (2006).
C. Duval, Z. Horvàth, and P. A. Horvàthy, Phys. Rev. D 74, 021701(R) (2006).
F. C. Karal and J. B. Keller, J. Acoust. Soc. Am. 694, 31 (1958).
K. Yu. Bliokh and V. D. Freilikher, Phys. Rev. B 74, 174302 (2006).
D. Culcer, A. MacDonald, and Q. Niu, Phys. Rev. B 68, 045327 (2003).
S. Murakami, N. Nagaosa, and S. C. Zhang, Science 301, 1348 (2003).
J. Sinova, D. Culcer, Q. Niu, et al., Phys. Rev. Lett. 92, 126603 (2004).
Y. K. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, Science 306, 1910 (2004).
A. Berard and H. Mohrbach, Phys. Lett. A 352, 190 (2006).
K. Sawada, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. 96, 154802 (2006).
M. C. Chang and Q. Niu, Phys. Rev. B 53, 7010 (1996).
G. Sundaram and Q. Niu, Phys. Rev. B 59, 14915 (1999).
M. M. Sigalas and E. N. Economou, Solid State Commun. 86, 141 (1993).
M. Trigo, A. Bruchhausen, A. Fainstein, et al., Phys. Rev. Lett. 89, 227402 (2002).
S. Yang, J. H. Page, Z. Liu, et al., Phys. Rev. Lett. 93, 024301 (2004).
Y. Zhang and Z. Liu, App. Phys. Lett. 85, 341 (2004).
T. Gorishnyy, C. K. Ullal, M. Maldovan, et al., Phys. Rev. Lett. 94, 115501 (2005).
L. D. Landau and E. M. Lifshits, Theory of Elasticity (Pergamon Press, Oxford, 1986).
R. Jackiw and A. Kerman, Phys. Lett. A 71, 158 (1979).
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Torabi, R., Mehrafarin, M. Berry effect in acoustical polarization transport in phononic crystals. Jetp Lett. 88, 590–594 (2008). https://doi.org/10.1134/S0021364008210091
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DOI: https://doi.org/10.1134/S0021364008210091