MSC.3P Dresselhauss constants: evaluation for Cd3As2
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MARTYNYUK, V., AUTOR, Nou, CHUIKO, G.. MSC.3P Dresselhauss constants: evaluation for Cd3As2. In: Materials Science and Condensed Matter Physics, 16-19 septembrie 2014, Chișinău. Chișinău, Republica Moldova: Institutul de Fizică Aplicată, 2006, Editia 3, p. 66.
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Materials Science and Condensed Matter Physics
Editia 3, 2006
Conferința "Materials Science and Condensed Matter Physics"
Chișinău, Moldova, 16-19 septembrie 2014

MSC.3P Dresselhauss constants: evaluation for Cd3As2


Pag. 66-66

Martynyuk V., Autor Nou, Chuiko G.
 
Херсонский национальный технический университет
 
 
Disponibil în IBN: 19 aprilie 2022


Rezumat

J.J. Neve was probably first, who experimentally showed the necessity of the consideration the influence of remote bands on the band structure of Cd3As2 [1]. Thereto, he gave the tables of two experimentally defined energy functions v(ε ) and u(ε ) there both directly depended on the known Dresselhauss constants: A, L,M . These dependences get especially simple form within of the classic Kane model [2]:formulaWhere eV eV g ε = −0.95 , Δ = 0.30 are two well-known Kane parameters. Expressions (1) very simplify itself as for conductivity electrons investigated by Neve for 0 ≤ε ≤ ∞ , and at conditions: A) g ε << −ε , “low energies” and B) ε >> 2Δ/3, “high energies”. First of all v(0) = v(∞) = −Q . As a result, the v(ε ) curve is quite smooth with very weak extreme between ε = 0 and g ε = −ε . Thereto the amplitude of this extreme is at least twice less then the scattering of the data [1]. It allows to attain the average of these simply as the first evaluation: Q = −2.7 ± 0.2. Certainly, that the computer adjustment procedure with expressions (1) gives a statistically undistinguished result. Further, it is easy to seen, that u(0) =1+M /3+ 2L/3 and u(∞) =1+ A/ 2 + L/ 2. Thus, there is possible to evaluate two different pairs of constants: at “low energies” approach (A) and at “high energies” approach (B). These pairs are intersecting, and this fact allows twice probing the same constant L . Hence the set A is A = 0, M = −15.1, L =1.9 , whereas the set B is A = 9.4, M = 0, L = −7.7 . Both are able not badly to describe the data [1] (big boxes on the plot 1). Such describing would be likewise good, if someone chooses the average value L = −2.9 and after that receives the corresponding fitted values: A = 4.7, M = −7.5. This interpolated set (let it be the set C) looks even like more “theoretical”. Although because neither condition A, nor condition B obviously may be fulfilled well for the data [1]. However, the plenitude, the range of energies and the accuracy of data [1], do not allow while more certain preferences in behalf on one of the constants sets presented above. They all are “equally suitable”, as it is clear seen from the plot.figurePlot 1. The dependence u(ε ) with the set A (small points) and B (solid line). Boxes present the data [1]