Abstract
A symmetry analysis of possible magnetic structures in an incommensurate magnetic phase in FeGe2 compound, resulted from phase transitions from the paramagnetic phase, was performed based on a phenomenological consideration. It is shown that two possible approaches to a such an analysis, the first of which uses the magnetic representation of the space group, and the second one is based on the expansion of the magnetic moment in basis functions of irreducible representations of the space group of the paramagnetic phase, yield the same results. Space group irreducible representations are determined, according to which the transition to an incommensurate structure can occur. The set of these representations appears identical in both approaches. Ginzburg–Landau functionals for analyzing the transitions according to these representations are written. A renormalization group analysis of the second-order phase transitions from the paramagnetic state to the incommensurate magnetic structure is performed. It is shown that a helical magnetic structure can arise in the incommensurate phase as a result of two second-order phase transitions at the transitions temperature.
Similar content being viewed by others
REFERENCES
Yu. A. Izyumov and E. Z. Kurmaev, High Temperature Superconductors on FeAc-Based Compounds (Regulyar. Khaotich. Dinamika, Moscow, Izhevsk, 2010) [in Russian].
E. Kren and P. Sabo, Phys. Lett. 11, 215 (1964).
L. M. Corliss, J. M. Hasting, W. Kunnmann, R. Tomas, and J. Zhuang, Phys. Rev. B 31, 4337 (1985).
Yu. A. Dorofeev, A. Z. Men’shikov, G. A. Budrina, and V. N. Syromyatnikov, Fiz. Met. Metalloved. 63, 1110 (1987).
R. P. Krentsis, A. V. Mikhel’son, and P. V. Gel’d, Sov. Phys. Solid State 12, 1979 (1970).
K. B. Vlasov, E. V. Ustelemova, R. I. Zainullina, M. A. Milyaev, and S. V. Ustelemov, Sov. Phys. Solid State 32, 809 (1990).
P. D. Babu, P. K. Mishra, V. Dubc, R. Mishra, P. U. Sastry, and G. Ravikumar, AIP Conf. Proc. 1591, 1586 (2014).
G. E. Gerchnev, A. A. Lyogenkaya, V. B. Pluzhnikov, and A. V. Fedorchenko, Low Temp. Phys. 40, 384 (2014).
V. B. Pluzhnikov, D. Feder, and E. Fawcett, J. Magn. Magn. Mater. 27, 343 (1982).
Yu. A. Izyumov, V. E. Naish, and R. P. Ozerov, Neutronography of Magnets (Atomizdat, Moscow, 1981) [in Russian].
H. J. Wallaum, Z. Metallknd. 35, 218 (1943).
J. B. Forsgth, C. E. Johnson, and P. J. Brown, Philos. Mag. 10, 713 (1964).
O. V. Kovalev, Irreducible and Induced Representations and Co-Representations of Fedorov’s Groups (Nauka, Moscow, 1986) [in Russian].
G. L. Bir and G. E. Pikus, Symmetry and Stain-Induced Effects in Semiconductors (Nauka, Moscow, 1972; Wiley, New York, 1975).
O. V. Kovalev, Sov. Phys. Solid State 5, 2309 (1963).
I. E. Dzyaloshinskii, Sov. Phys. JETP 19, 960 (1964).
C. J. Bradley and A. P. Cracknell, The Mathematical Theory of Symmetry in Solids. Representation Theory for Point Groups and Space Groups (Clarendon, Oxford, 1972).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).
K. G. Wilson and M. Fisher, Phys. Rev. Lett. 28, 240 (1972).
V. V. Men’shenin, J. Exp. Theor. Phys. 120, 1019 (2015).
E. E. Gorodetskii and V. M. Zaprudskii, Sov. Phys. JETP 42, 515 (1975).
A. N. Vasil’ev, The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics, Frontiers in Physics (PIYaF, St. Petersburg, 1998; Chapman and Hall, CRC, Boca Raton, FL, 2004).
C. de Dominicis and L. Peliti, Phys. Rev. B 18, 353 (1978).
ACKNOWLEDGMENTS
This study was performed within the State contract (“Kvant” theme, no. АААА-А18-118020190095-4) and project no. 18-2-2-11 of the Ural Branch of the Russian Academy of Sciences.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by A. Kazantsev
Rights and permissions
About this article
Cite this article
Men’shenin, V.V. Magnetic Phase Transitions to an Incommensurate Magnetic Structure in FeGe2 Compound. Phys. Solid State 61, 421–432 (2019). https://doi.org/10.1134/S1063783419030211
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783419030211