Processing math: 100%

Phase Diagrams of Uranium and Its Compounds. II. ‘Orbital Glass’ (Galois Groups), Magnetoelectrical Effects

O. I. Mitsek, V. M. Pushkar

G. V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine

Received: 26.02.2019. Download: PDF

The order of angle moments Jr in metallic uranium can be appeared due to ordering of pairs of orbital moments Lr in ‘orbital glass’ form. Representation of the many-electron operator spinors (MEOS) and their Fourier images (chemical (covalent) bond fluctuations (CBF)) give ‘glass’ parameter P3(T)=(Lzr)2 as CBF functional and function of temperature T. Metallic uranium region (C3) contains N3 elements of Galois groups (GG–G3) in form of pairs of uranium ions sites (rR) and their moments (Lr↑↓LR). Orientation of P3 along Oz under deformation u33 determines the contribution of magnetic susceptibility χzzP3(T). Magnetoelectrical resistance ΔR33P3(T). Covalent bond 6d–6d increases melting temperature by ΔTL102 K for U and Cm (which have one 6d electron). Anomalous Hall effect R13(P1,P3) is caused by CBF as well as the residual electrical resistance R0 of transition metals, in particular U.

Key words: order of pairs of orbital moments Lr (Galois group, ‘orbital glass’), magnetic susceptibility, magnetoresistance, Hall effect.

URL: http://mfint.imp.kiev.ua/en/abstract/v41/i09/1127.html

DOI: https://doi.org/10.15407/mfint.41.09.1127

PACS: 61.50.Ks, 71.10.-w, 71.20.Be, 72.20.Dp, 72.20.My, 75.10.Dg, 75.30.Mb

Citation: O. I. Mitsek and V. M. Pushkar, Phase Diagrams of Uranium and Its Compounds. II. ‘Orbital Glass’ (Galois Groups), Magnetoelectrical Effects, Metallofiz. Noveishie Tekhnol., 41, No. 9: 1127—1142 (2019) (in Russian)


REFERENCES
  1. O. I. Mitsek and V. M. Pushkar, Metallofiz. Noveishie Tekhnol., 41, No. 3: 279 (2019) (in Russian). Crossref
  2. O. I. Mitsek and V. M. Pushkar, Metallofiz. Noveishie Tekhnol., 37, No. 4: 433 (2015) (in Russian). Crossref
  3. S. V.Vonsovskiy, Magnetism (Moscow: Nauka: 1971) (in Russian).
  4. Yu. P. Irkhin and V. Yu.Irkhin, Elektronnoe Stroenie i Fizicheskie Svoystva Perekhodnykh Metallov [Electron Structure and Physical Properties of Transition Metals) (Sverdlovsk: Ural State University: 1989) (in Russian).
  5. J. B. Listing, Predvaritelnye Issledovaniya po Topologii [Preliminary Research on Topology] (Moscow: Gos. Tekniko-Teor. Izdat.: 1932) (in Russian).
  6. N. Bourbaki, Obshchaya Topologiya [General Topology] (Moscow: Gos. Izdat. Fiz.-Mat. Lit.: 1959) (in Russian).
  7. N. Chebotarev, Osnovy Teorii Galua [The Principles of Galois Theory] (Moscow: Gos. Tekniko-Teor. Izdat.: 1934) (in Russian).
  8. A. V. Deryagin and A. V. Andreev, J. Experimental and Theor. Phys., 71, No. 9: 1166 (1976) (in Russian).