Abstract
We consider here special closed electron trajectories that arise during reconstructions of electron dynamics on the Fermi surface in the presence of strong magnetic fields, as well as the phenomenon of intraband magnetic breakdown that occurs on such trajectories. We consider cases where the electronic spectrum arising in such a situation corresponds to the resonant contribution to quantum oscillations. In the paper, all cases where this occurs are singled out, and the possible influence of the appearance of the Berry phase and other effects on the described phenomena is also considered.
REFERENCES
C. Kittel, Quantum Theory of Solids (Wiley, New York, 1963).
I. M. Lifshitz, M. Ya. Azbel, and M. I. Kaganov, Electron Theory of Metals (Nauka, Moscow, 1971; Consultants Bureau, Adam Hilger, New York, 1973).
A. A. Abrikosov, Fundamentals of the Theory of Metals (Elsevier Sci. Technol., Oxford, UK, 1988).
I. M. Lifshitz, M. Ya. Azbel, and M. I. Kaganov, Sov. Phys. JETP 4, 41 (1957).
I. M. Lifshitz and V. G. Peschansky, Sov. Phys. JETP 8, 875 (1959).
I. M. Lifshitz and V. G. Peschansky, Sov. Phys. JETP 11, 137 (1960).
S. P. Novikov, Russ. Math. Surv. 37, 1 (1982).
A. V. Zorich, Russ. Math. Surv. 39, 287 (1984).
I. A. Dynnikov, Russ. Math. Surv. 47, 172 (1992).
S. P. Tsarev, private commun. (1992–1993).
I. A. Dynnikov, Math. Notes 53, 494 (1993).
A. V. Zorich, in Proceedings of the Geometric Study of Foliations, Tokyo, November 1993, Ed. by T. Mizutani et al. (World Scientific, Singapore, 1994), p. 479.
I. A. Dynnikov, in Proceedings of the European Congress of Mathematics ECM2, BuDA, 1996.
I. A. Dynnikov, Am. Math. Soc. Transl., Ser. 2 179, 45 (1997).
I. A. Dynnikov, Russ. Math. Surv. 54, 21 (1999).
S. P. Novikov and A. Ya. Maltsev, JETP Lett. 63, 855 (1996).
A. Ya. Maltsev, J. Exp. Theor. Phys. 85, 934 (1997).
S. P. Novikov and A. Ya. Maltsev, Phys. Usp. 41, 231 (1998).
A. Ya. Maltsev and S. P. Novikov, J. Stat. Phys. 115, 31 (2004).
A. Ya. Maltsev and S. P. Novikov, Proc. Steklov Inst. Math. 302, 279 (2018).
S. P. Novikov, R. De Leo, I. A. Dynnikov, and A. Ya. Maltsev, J. Exp. Theor. Phys. 129, 710 (2019).
G. E. Zil’berman, Sov. Phys. JETP 6, 299 (1958).
G. E. Zil’berman, Sov. Phys. JETP 7, 513 (1958).
M. Ia. Azbel, Sov. Phys. JETP 12, 891 (1961).
A. Alexandradinata and L. Glazman Phys. Rev. Lett. 119, 256601 (2017).
A. Alexandradinata and L. Glazman, Phys. Rev. B 97, 144422 (2018).
A. Ya. Maltsev, J. Exp. Theor. Phys. 131, 988 (2020).
A. Ya. Maltsev, J. Exp. Theor. Phys. 133, 711 (2021).
G. Sundaram and Q. Niu, Phys. Rev. B 59, 14915 (1999).
Di Xiao, Ming-Che Chang, and Qian Niu, Rev. Mod. Phys. 82, 1959 (2010).
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This work is supported by grant 21-11-00331 from the Russian Science Foundation.
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Maltsev, A.Y. Resonant Contributions to Oscillatory Phenomena under Conditions of Magnetic Breakdown during Reconstructions of Electron Dynamics on the Fermi Surface. J. Exp. Theor. Phys. 135, 927–935 (2022). https://doi.org/10.1134/S1063776122120160
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DOI: https://doi.org/10.1134/S1063776122120160