Theory of the Magnetic Susceptibility of Bloch Electrons

Misra, P. K.; Kleinman, Leonard

doi:10.1103/physrevb.5.4581

Cited by 64 publications

(24 citation statements)

References 23 publications

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“…where χ MK is the magnetic susceptibility of Bloch electrons derived by Misra and Kleinman [11] and χ loc is the contribution due to the hybridization of a conduction electron with the magnetic impurities. Since the lattice diamagnetism arises from the electrons in a full valence band, the second term is not considered in evaluating χ dia , the diamagnetic susceptibility.…”

Section: Anisotropic Lattice Diamagnetismmentioning

confidence: 99%

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Theory of anisotropic diamagnetism, local moment magnetization and carrier spin-polarization in Pb1−x Eu x Te

et al. 2001

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We present theoretical analyses of anisotropic lattice diamagnetism, magnetization due to magnetic ions and carrier spin-polarization in the diluted magnetic semiconductor, Pb 1 x Eu x Te. The lattice diamagnetism results from orbital susceptibility due to inter band effects and spin-orbit contributions. The spin-orbit contribution is found to be dominant. However, both the contributions show pronounced anisotropy. With increase in x, the diamagnetism decreases. We consider contributions from randomly distributed isolated magnetic ions and clusters of pairs and triads for the local moment magnetization. The isolated magnetic-ion contribution is the dominant one. We calculate the magnetization for two typical magnetic ion concentrations: x 0 03 and x 0 06. Temperature dependence of the magnetization is also considered. Apart from lattice and localized magnetic ions, the carrier contribution to the spin-density is also calculated for a carrier density of p 10 18 cm 3 . The relative spin-density of carriers increases with increase in the magnetic field strength and magnetic ion concentration. The agreement with experiment where available is reasonably good.

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Section: Anisotropic Lattice Diamagnetismmentioning

confidence: 99%

“…where χ ibo is the interband contribution to the orbital magnetic susceptibility which is obtained by subtracting the χ LP (Landau-Peierls susceptibility) from χ o , obtained by Misra and Kleinman [11], and χ so is the spin-orbit contribution to the susceptibility.…”

Section: Anisotropic Lattice Diamagnetismmentioning

confidence: 99%

Theory of anisotropic diamagnetism, local moment magnetization and carrier spin-polarization in Pb1−x Eu x Te

et al. 2001

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“…(19a) and (20) have been derived by noting u bk (r + R) = u bk (r), reducing the integral into a unit cell, and using the completeness and orthonormality of { u bk } over the unit cell. 5 The last expression of eq.…”

Section: Overlap Integralmentioning

confidence: 99%

“…5,13,14,20 Among them, Roth 5 gave a complete expression including the spin-orbit interaction with a clear derivation process. We closely follow her procedure to extend the consideration into interacting Bloch electrons.…”

Section: Introductionmentioning

confidence: 99%

Theory of Interacting Bloch Electrons in a Magnetic Field

Kita

Arai

2005

J. Phys. Soc. Jpn.

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We study interacting electrons in a periodic potential and a uniform magnetic field B taking the spin-orbit interaction into account. We first establish a perturbation expansion for those electrons with respect to the Bloch states in zero field. It is shown that the expansion can be performed with the zero-field Feynman diagrams of satisfying the momentum and energy conservation laws. We thereby clarify the structures of the self-energy and the thermodynamic potential in a finite magnetic field. We also provide a prescription of calculating the electronic structure in a finite magnetic field within the density functional theory starting from the zerofield energy-band structure. On the basis of these formulations, we derive explicit expressions for the magnetic susceptibility of B → 0 at various approximation levels on the interaction, particularly within the density functional theory, which include the result of Roth [J. Phys. Chem. Solids 23 (1962) 433] as the non-interacting limit. We finally study the de Haas-van Alphen oscillation in metals to show that quasiparticles at the Fermi level with the many-body effective mass are directly relevant to the phenomenon. The present argument may be more transparent than that by Luttinger [Phys. Rev. 121 (1961) 1251] of using the gauge invariance and has an advantage that the change of the band structure with the field may be incorporated.

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“…Although we do not calculate xso for T < T,,, because equation (3.26) is not applicable in this region for solid Pb metal for a reason given below equation (3.27), we can use the xso calculated for T > TM together with published theoretical results of xso for T < T M (in the same units as in table 1, xs0 2 -0.24 for Pb from Das and Misra (1972), xso equals -0.183 for Cd and -0.103 for Zn from Das and Misra (1977); see Misra and Kleinman (1972) for the signs of xso) to analyse its behaviour.…”

Section: The Effect Of Spin-orbit Interactions On Magnetic Susceptibimentioning

confidence: 99%

An effective pseudohamiltonian: effects of spin-orbit interactions on magnetic susceptibilities of liquid metals

Wang¹,

Lai²,

So³

et al. 1980

J. Phys. F: Met. Phys.

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Abstract.A recently published relativistic model pseudopotential has been generalised to derive (i) a reliable magnetic model pseudopotential and (ii) an effective Hamiltonian for calculating the electronic properties of a simple metal in a weak applied magnetic field. This effective Hamiltonian has been applied to obtain an expression, which includes both the magnetic and the spin-orbit interactions, that can be used to calculate the conduction-electron magnetic susceptibilities of solid alkali metals and liquid simple metals. The applications indicate that as the temperature increases the s component of the conduction-electron wavefunction in a metal such as P b increases, so that the effect of the spin-orbit interaction, and thereby its contribution to the electronic magnetic susceptibility, decreases very strongly.

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Theory of the Magnetic Susceptibility of Bloch Electrons

Cited by 64 publications

References 23 publications

Theory of anisotropic diamagnetism, local moment magnetization and carrier spin-polarization in Pb1−x Eu x Te

Theory of anisotropic diamagnetism, local moment magnetization and carrier spin-polarization in Pb1−x Eu x Te

Theory of Interacting Bloch Electrons in a Magnetic Field

An effective pseudohamiltonian: effects of spin-orbit interactions on magnetic susceptibilities of liquid metals

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