• Acta Physica Sinica
  • Vol. 68, Issue 4, 046101-1 (2019)
Yan-Min Yang, Jia Li*, Hong-Ran Ma, Guang Yang, Xiu-Juan Mao, and Cong-Cong Li
DOI: 10.7498/aps.68.20181641 Cite this Article
Yan-Min Yang, Jia Li, Hong-Ran Ma, Guang Yang, Xiu-Juan Mao, Cong-Cong Li. First-principles study of structure, electronic structure and thermoelectric properties for Co2-based Heusler alloys Co2FeAl1–xSix (x = 0.25, x = 0.5, x = 0.75) [J]. Acta Physica Sinica, 2019, 68(4): 046101-1 Copy Citation Text show less
(a) L21 structure of Co2FeAl1-xSix (x = 0.25); (b)thin film structure of Co2FeAl0.75Si0.25.(a) Co2FeAl1-xSix (x = 0.25)的L21结构; (b) Co2FeAl0.75Si0.25的薄膜结构
Fig. 1. (a) L21 structure of Co2FeAl1-xSix (x = 0.25); (b)thin film structure of Co2FeAl0.75Si0.25. (a) Co2FeAl1xSix (x = 0.25)的L21结构; (b) Co2FeAl0.75Si0.25的薄膜结构
Optimization curves of lattice constant for Co2FeAl1-xSix alloy under ferromagnetic and antiferromagnetic magnetic order.Co2FeAl1-xSix合金在铁磁态(FM)和反铁磁态(AFM)下的晶格常数优化曲线 (a) x = 0.25; (b) x = 0.5; (c) x = 0.75
Fig. 2. Optimization curves of lattice constant for Co2FeAl1-xSix alloy under ferromagnetic and antiferromagnetic magnetic order. Co2FeAl1-xSix合金在铁磁态(FM)和反铁磁态(AFM)下的晶格常数优化曲线 (a) x = 0.25; (b) x = 0.5; (c) x = 0.75
Energy band structure of (a) Co2FeAl0.75Si0.25, (b) Co2FeAl0.5Si0.5 and (c) Co2FeAl0.25Si0.75.(a) Co2FeAl0.75Si0.25, (b) Co2FeAl0.5Si0.5和(c) Co2FeAl0.25Si0.75的能带结构
Fig. 3. Energy band structure of (a) Co2FeAl0.75Si0.25, (b) Co2FeAl0.5Si0.5 and (c) Co2FeAl0.25Si0.75. (a) Co2FeAl0.75Si0.25, (b) Co2FeAl0.5Si0.5和(c) Co2FeAl0.25Si0.75的能带结构
Thetotaland atom-projected density of states for Heusler alloys Co2FeAl1-xSix (x = 0.25, 0.5, 0.75) film in (a), (b) and (c).(a) Co2FeAl0.75Si0.25,(b) Co2FeAl0.5Si0.5和(c) Co2FeAl0.25Si0.75的总态密度和分态密度
Fig. 4. Thetotaland atom-projected density of states for Heusler alloys Co2FeAl1-xSix (x = 0.25, 0.5, 0.75) film in (a), (b) and (c). (a) Co2FeAl0.75Si0.25,(b) Co2FeAl0.5Si0.5和(c) Co2FeAl0.25Si0.75的总态密度和分态密度
The transport properties with variation of chemical potential for Co2FeAl1-xSix(x = 0.25, 0.5 and 0.75). The case of x = 0.25 corresponds to (a), (b), (c) and (d), and the case of x = 0.5 corresponds to (e), (f), (g) and (h), and the case of x = 0.75 corresponds to (i), (j), (k) and (l). The four columns from left to right correspond to the Seebeck coefficients S, electrical conductivity , electronic thermal conductivity and PF (), respectively.Co2FeAl0.75Si0.25向下自旋态的(a)Seebeck系数, (b)电导, (c)热导和(d)功率因子随化学势的变化; Co2FeAl0.5Si0.5向下自旋态的(e) Seebeck系数, (f)电导, (g)热导和(h) 功率因子随化学势的变化; Co2FeAl0.25Si0.75向下自旋态的(i)Seebeck系数, (j)电导, (k)热导和(l)功率因子随化学势的变化
Fig. 5. The transport properties with variation of chemical potential for Co2FeAl1-xSix(x = 0.25, 0.5 and 0.75). The case of x = 0.25 corresponds to (a), (b), (c) and (d), and the case of x = 0.5 corresponds to (e), (f), (g) and (h), and the case of x = 0.75 corresponds to (i), (j), (k) and (l). The four columns from left to right correspond to the Seebeck coefficients S, electrical conductivity , electronic thermal conductivity and PF ( ), respectively. Co2FeAl0.75Si0.25向下自旋态的(a)Seebeck系数, (b)电导, (c)热导和(d)功率因子随化学势的变化; Co2FeAl0.5Si0.5向下自旋态的(e) Seebeck系数, (f)电导, (g)热导和(h) 功率因子随化学势的变化; Co2FeAl0.25Si0.75向下自旋态的(i)Seebeck系数, (j)电导, (k)热导和(l)功率因子随化学势的变化
Full phonon spectra of Co2FeAl1-xSix (x = 0.25, 0.5 and 0.75) alloys in (a), (b) and (c). The temperature dependent heat capacity Cv with an inset graph showing the temperaturefrom 180 K to 250 K in (d).Co2FeAl1-xSix合金在x = 0.25, 0.5, 0.75时的声子谱及比热容 (a) Co2FeAl1-xSix (x = 0.25), (b) Co2FeAl1-xSix (x = 0.5)和(c) Co2FeAl1-xSix (x = 0.75)的声子谱; (d) Co2FeAl1-xSix (x = 0.25, 0.5, 0.75)的比热容随温度的变化
Fig. 6. Full phonon spectra of Co2FeAl1xSix (x = 0.25, 0.5 and 0.75) alloys in (a), (b) and (c). The temperature dependent heat capacity Cv with an inset graph showing the temperaturefrom 180 K to 250 K in (d). Co2FeAl1xSix合金在x = 0.25, 0.5, 0.75时的声子谱及比热容 (a) Co2FeAl1xSix (x = 0.25), (b) Co2FeAl1xSix (x = 0.5)和(c) Co2FeAl1xSix (x = 0.75)的声子谱; (d) Co2FeAl1xSix (x = 0.25, 0.5, 0.75)的比热容随温度的变化
Thetotaland atom-projected density of states for Co2FeAl1-xSix (x = 0.25, 0.5 and 0.75) film in (a), (b) and (c).(a) Co2FeAl0.75Si0.25, (b) Co2FeAl0.5Si0.5和(c) Co2FeAl0.25Si0.75薄膜的总态密度和原子分态密度
Fig. 7. Thetotaland atom-projected density of states for Co2FeAl1xSix (x = 0.25, 0.5 and 0.75) film in (a), (b) and (c). (a) Co2FeAl0.75Si0.25, (b) Co2FeAl0.5Si0.5和(c) Co2FeAl0.25Si0.75薄膜的总态密度和原子分态密度
Calculated total energies as a function of the c/a ratio for Co2FeAl1-xSix (x = 0.25, 0.5 and 0.75) Heusler alloys in (a), (b) and (c) andfilm materials in (d), (e) and (f).(a) x = 0.25,(b) x = 0.5和(c) x = 0.75替代浓度下Co2FeAl1-xSix合金体相的总能量差与畸变度c/a的关系; (d) x = 0.25, (e) x = 0.5和(f) x = 0.75替代浓度下Co2FeAl1-xSix薄膜的驱动力与畸变度c/a的关系
Fig. 8. Calculated total energies as a function of the c/a ratio for Co2FeAl1xSix (x = 0.25, 0.5 and 0.75) Heusler alloys in (a), (b) and (c) andfilm materials in (d), (e) and (f). (a) x = 0.25,(b) x = 0.5和(c) x = 0.75替代浓度下Co2FeAl1xSix合金体相的总能量差 与畸变度c/a的关系; (d) x = 0.25, (e) x = 0.5和(f) x = 0.75替代浓度下Co2FeAl1-xSix薄膜的驱动力 与畸变度c/a的关系
The total magnetic moment and the magnetic moment of each atom of Co2FeAl1-xSix film change with distortion at x = 0.25, x = 0.5 and x = 0.75 in (a), (b) and (c).(a) x = 0.25,(b) x = 0.5和(c) x = 0.75替代浓度下Co2FeAl1-xSix合金薄膜的总磁矩及各原子总磁矩随畸变度的变化
Fig. 9. The total magnetic moment and the magnetic moment of each atom of Co2FeAl1-xSix film change with distortion at x = 0.25, x = 0.5 and x = 0.75 in (a), (b) and (c). (a) x = 0.25,(b) x = 0.5和(c) x = 0.75替代浓度下Co2FeAl1-xSix合金薄膜的总磁矩及各原子总磁矩随畸变度的变化
amAl/ ${{\text{μ}}_{\rm{B}}}$mSi/ ${{\text{μ}}_{\rm{B}}}$mFe/ ${{\text{μ}}_{\rm{B}}}$mCo/ ${{\text{μ}}_{\rm{B}}}$Mt/ ${{\text{μ}}_{\rm{B}}}$
Co2FeAl0.75Si0.255.6520–0.053–0.0392.9981.2625.473
Co2FeAl0.5Si0.55.6607–0.046–0.0283.0371.3375.688
Co2FeAl0.25Si0.755.6406–0.038–0.0123.0941.4005.891
Table 1.

Lattice parameters and magnetic moments of Co2FeAl1xSix alloys at x = 0.25, 0.5 and 0.75.

Co2FeAl1xSix合金在x = 0.25, 0.5, 0.75时的晶格参数及磁矩

C11/GPa C12/GPa C44/GPa B/GPa GV/GPa GR/GPa GH/GPa
Co2FeAl0.75Si0.25247.38166.97142.33193.77101.4870.6086.04
Co2FeAl0.5Si0.5266.15143.57141.73184.43109.5592.94101.25
Co2FeAl0.25Si0.75176.4651.042137.6792.85107.6993.14100.42
Table 2.

The calculated cubic elastic constant C11, C12, C44, shear modulus Gv, GR and GH in GPa.

计算的Co2FeAl1xSix (x = 0.25, x = 0.5, x = 0.75)合金的弹性常数、体模量及剪切模量

Yan-Min Yang, Jia Li, Hong-Ran Ma, Guang Yang, Xiu-Juan Mao, Cong-Cong Li. First-principles study of structure, electronic structure and thermoelectric properties for Co2-based Heusler alloys Co2FeAl1–xSix (x = 0.25, x = 0.5, x = 0.75) [J]. Acta Physica Sinica, 2019, 68(4): 046101-1
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