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Commensurate and incommensurate states of a spin density wave in a quasi-two-dimensional system with an anisotropic energy spectrum in an external magnetic field of arbitrary direction relative to magnetization

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Abstract

A theory of thermodynamic properties of a spin density wave (SDW) in a quasi-two-dimensional system (with a preset impurity concentration x) is constructed. We choose an anisotropic dispersion relation for the electron energy and assume that external magnetic field H has an arbitrary direction relative to magnetic moment M Q . The system of equations defining order parameters M z Q , M σ Q , M z , and Mσ is constructed and transformed with allowance for the Umklapp processes. Special cases when H ‖ M Q and H ⊥ M Q (H Z Hσ = 0) are considered in detail as well as cases of weak fields H of arbitrary direction. The condition for the transition of the system to the commensurate and incommensurate states of the SDW is analyzed. The concentration dependence of magnetic transition temperature T M is calculated, and the components of the order parameter for the incommensurate phase are determined. The phase diagram (T,~x) is constructed. The effect of the magnetic field on magnetic transition temperature T M is analyzed for H Z Hσ = 0, and longitudinal magnetic susceptibility χ‖ is calculated; this quantity demonstrates the temperature dependence corresponding to a system with a gap for x < x c and to a gapless state for x > x c . In the immediate vicinity of the critical impurity concentration (x ∼ x c ), the temperature dependence of the magnetic susceptibility acquires a local maximum. The effect of anisotropy of the electron energy spectrum on the investigated physical quantities is also analyzed.

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Authors and Affiliations

  1. Institute of Applied Physics, Academy of Sciences of Moldova, Chisinau, 2028, Moldova

    M. E. Palistrant & V. A. Ursu

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  1. M. E. Palistrant
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  2. V. A. Ursu
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Correspondence to M. E. Palistrant.

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Original Russian Text © M.E. Palistrant, V.A. Ursu, 2013, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 143, No. 4, pp. 735–751.

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Palistrant, M.E., Ursu, V.A. Commensurate and incommensurate states of a spin density wave in a quasi-two-dimensional system with an anisotropic energy spectrum in an external magnetic field of arbitrary direction relative to magnetization. J. Exp. Theor. Phys. 116, 641–656 (2013). https://doi.org/10.1134/S1063776113040080

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