Electron Dispersion in Liquid Alkali Metals

Gajjar, P. N.; Thakore, B. Y.; Jani, A. R.

doi:10.12693/aphyspola.94.33

Cited by 10 publications

(9 citation statements)

References 7 publications

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“…The FE at the Fermi level of liquid alkali metals is narrated in Table 2. From Table 2 it is noticed that the present results of the FE at the Fermi level of the liquid metals are found in qualitative agreement with the theoretical [8,10] findings. Also, it is noted that, among the six employed local-field correction functions, the local-field correction function due to T gives the minimum numerical value of the FE at the Fermi level, while the local-field correction function due to H (without exchange and correlation) gives the maximum value.…”

Section: Resultssupporting

confidence: 87%

“…The electronic structure of liquid metals using the pseudopotential theory and secondorder perturbation theory is given as [8][9][10]:…”

Section: Computational Methodologymentioning

confidence: 99%

“…The parameter of the potential r C is determined using the first zero of the form factor [6,7,10]. The modified Hartree dielectric function "ðqÞ is given by [13]:…”

Section: Computational Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Very recently, we have also reported successfully the Fermi surface distortion (FSD) and Fermi energy (FE) of solid solutions [6,7]. However, the attempts of studying the FE and its deviation from the free-electron value for liquid metals are very rare [8][9][10].Therefore, in the present article, an interesting task is taken up: to investigate electron dispersion relation, FE and deviation in the FE from the free-electron value for liquid alkali metals, based on the well-known empty core model (EMC) potential of Ashcroft [11]. In the present work, the theoretical structure factors are computed from the wellknown Percus-Yevick (PY) hard sphere model with proper packing density [12].…”

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confidence: 99%

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Study of electron dispersion curves in liquid alkalis

Vora¹

2009

Physics and Chemistry of Liquids

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Ashcroft's empty core local model of pseudopotentials in the second-order perturbation theory is used to study the electron dispersion relation, the Fermi energy and deviation in the Fermi energy from free-electron values for the liquid alkali metals. The influence of the six different forms of the local-field correction functions proposed by Hartree, Vashishta-Singwi, Taylor, Ichimaru-Utsumi, Farid et al. and Sarkar et al. on the aforesaid electronic properties is examined explicitly, which reflects the varying effects of screening. The depth of the negative hump in the electron dispersion of liquid alkalis decreases in the order Li!K; except for Rb and Cs, where it increases. IntroductionDuring the last few years there has been an increasing interest in the properties of non-crystalline conductors such as liquid metals and liquid metallic alloys. Such a liquid exhibits metallic as well as fluid-like behaviour, and hence can help to make a link between the theory of the liquid states and the theory of the electronic states in metals. Thus the study of the electronic properties of liquid metals and their alloys remains one of the favourite research areas, either experimentally or theoretically [1][2][3][4][5]. The pseudopotentialbased investigation of the Fermi surface and its distortion from free-electron value for the metals in the solid phase are quite often well recognised. Very recently, we have also reported successfully the Fermi surface distortion (FSD) and Fermi energy (FE) of solid solutions [6,7]. However, the attempts of studying the FE and its deviation from the free-electron value for liquid metals are very rare [8][9][10].Therefore, in the present article, an interesting task is taken up: to investigate electron dispersion relation, FE and deviation in the FE from the free-electron value for liquid alkali metals, based on the well-known empty core model (EMC) potential of Ashcroft [11]. In the present work, the theoretical structure factors are computed from the wellknown Percus-Yevick (PY) hard sphere model with proper packing density [12]. The influence of the six different forms of the local-field correction functions proposed by Hartree (H) [13], Vashishta-Singwi (VS) [14], Taylor (T) [15], Ichimaru-Utsumi (IU) [16],

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Section: Resultssupporting

confidence: 87%

“…The electronic structure of liquid metals using the pseudopotential theory and secondorder perturbation theory is given as [8][9][10]:…”

Section: Computational Methodologymentioning

confidence: 99%

“…The parameter of the potential r C is determined using the first zero of the form factor [6,7,10]. The modified Hartree dielectric function "ðqÞ is given by [13]:…”

Section: Computational Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Study of electron dispersion curves in liquid alkalis

Vora¹

2009

Physics and Chemistry of Liquids

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Superconducting state parameters of indium-based binary alloys

et al. 2002

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Our well-recognized pseudopotential is used to investigate the superconducting state parameters viz; electron-phonon coupling strength λ, Coulomb pseudopotential µ * , transition temperature T c , isotope effective exponent α and interaction strength N 0 V for the In 1−x Zn x and In 1−x Sn x binary alloys. We have incorporated six different types of local field correction functions, proposed by Hartree, Taylor, Vashistha-Singwi, Ichimaru-Utsumi, Farid et al and Sarkar et al to show the effect of exchange and correlation on the aforesaid properties. Very strong influence of the various exchange and correlation functions is concluded from the present study. The comparison with other such theoretical values is encouraging, which confirms the applicability of our model potential in explaining the superconducting state parameters of binary mixture.

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