Abstract
Thermoelectric properties as well as electronic and magnetic properties of Heusler alloy \(\hbox {Cr}_{2}\hbox {ZnSi}\) are investigated by employing the first-principles calculations in conjunction with the Boltzmann transport theory and deformation potential (DP) theory. The system is confirmed to be a fully compensated ferrimagnetic spin-gapless semiconductor. We obtain optimized lattice constant of 5.846 Å and the zero net magnetic moment. The calculated band structure, served as a hint for its promising thermoelectric properties, shows a zero-width energy gap in the spin-up direction together with an open energy gap in the spin-down one. A detailed study of the chemical potential and temperature dependence of the Seebeck coefficient, lattice and electronic thermal conductivities and hence the figure of merit (ZT) is carried out. The n-type system shows higher ZT values than p-type one in both spin directions, indicating the better thermoelectric performance of n-type system for thermoelectric applications.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00339-018-2259-0/MediaObjects/339_2018_2259_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00339-018-2259-0/MediaObjects/339_2018_2259_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00339-018-2259-0/MediaObjects/339_2018_2259_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00339-018-2259-0/MediaObjects/339_2018_2259_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00339-018-2259-0/MediaObjects/339_2018_2259_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs00339-018-2259-0/MediaObjects/339_2018_2259_Fig6_HTML.png)
Similar content being viewed by others
References
H. Hohl, A.P. Ramirez, C. Goldmann, G. Ernst, B. Wölfing, E. Bucher, J. Phys. Condens. Matter 11, 1697–1709 (1999)
Q. Shen, L. Chen, T. Goto, T. Hirai, J. Yang, G.P. Meisner, C. Uher, Appl. Phys. Lett. 79, 4165–4167 (2001)
G.S. Nolas, J. Poon, M. Kanatzidis, MRS Bull. 31, 199–205 (2006)
C. Yu, T.J. Zhu, R.Z. Shi, Y. Zhang, X.B. Zhao, J. He, Acta Mater. 57, 2757–2764 (2009)
V.J. Kangsabanik, E.A. Alam, J. Mater. Chem. A 5, 6131–6139 (2017)
S.D. Guo, RSC Adv. 6, 47953–47958 (2016)
C.G. Fu, S.Q. Bai, Y.T. Liu, Y.S. Tang, L.D. Chen, X.B. Zhao, T.J. Zhu, Nat. Commun. 6, 8144 (2015)
T. Fang, S. Zheng, T. Zhou, L. Yan, P. Zhang, Phys. Chem. Chem. Phys. 19, 4411–4417 (2017)
Y.J. Zhang, Z.H. Liu, E.K. Liu, G.D. Liu, X.Q. Ma, G.H. Wu, EPL 111, 37009 (2015)
A. Jakobsson, P. Mavropoulos, E. Şaşioǧlu, S. Blügel, M. Ležaić, B. Sanyal, I. Galanakis, Phys. Rev. B 91, 174439 (2015)
P.E. Blöchl, Phys. Rev. B 50, 17953–17979 (1994)
G. Kresse, J. Hafner, Phys. Rev. B 47, 558–561 (1993)
G. Kresse, J. Hafner, Phys. Rev. B 49, 14251–14269 (1994)
G. Kresse, J. Furthmüller, Comput. Mater. Sci. 6, 15–50 (1996)
P. Hohenberg, W. Kohn, Phys. Rev. B 136, B864–B871 (1964)
W. Kohn, L.J. Sham, Phys. Rev. 140, A1133–A1138 (1965)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865–3868 (1996)
G.K.H. Madsen, D.J. Singh, Comput. Phys. Commun. 175, 67–71 (2006)
G.D. Mahan, J.O. Sofo, Proc. Natl. Acad. Sci. USA 93, 7436–7439 (1996)
L.D. Hicks, M.S. Dresselhaus, Phys. Rev. B 47, 16631–16634 (1993)
L.D. Hicks, M.S. Dresselhaus, Phys. Rev. B 47, 12727–12731 (1993)
J. Yan, P. Gorai, B. Ortiz, S. Miller, S.A. Barnett, T. Mason, V. Stevanović, E.S. Toberer, Energy Environ. Sci. 8, 983–994 (2015)
J. Callaway, Phys. Rev. 113, 1046–1051 (1959)
E. Francisco, J.M. Recio, M.A. Blanco, A.M. Pendás, A. Costales, J. Phys. Chem. A 102, 1595–1601 (1998)
I. Galanakis, P.H. Dederichs, N. Papanikolaou, Phys. Rev. B 66, 174429 (2002)
F.D. Murnaghan, Proc. Natl. Acad. Sci. 30, 244–247 (1944)
F. Birch, Phys. Rev. 71, 809–824 (1947)
Y.Q. Cai, G. Zhang, Y.W. Zhang, J. Am. Chem. Soc. 136, 6269–6275 (2014)
A. Janotti, C.G. Van de Walle, Phys. Rev. B 75, 121201 (2007)
P.H. Jiang, H.J. Liu, D.D. Fan, L. Cheng, J. Wei, J. Zhang, J.H. Liang, J. Shi, Phys. Chem. Chem. Phys. 17, 27558–27564 (2015)
J. Kang, H. Sahin, H.D. Ozaydin, R.T. Senger, F.M. Peeters, Phys. Rev. B 92, 075413 (2015)
J. Bardeen, W. Shockley, Phys. Rev. 80, 72–80 (1950)
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 11875226 and 11874306, the Natural Science Foundation of Chongqing under Grant Nos. CSTC-2011BA6004 and CSTC-2017jcyjBX0035, and the Postgraduates’ Research and Innovation Project of Chongqing (No. CYB17077).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, X., Huang, Y., Yuan, H. et al. Theoretical investigation on thermoelectric properties of spin gapless semiconductor \(\hbox {Cr}_{2}\hbox {ZnSi}\). Appl. Phys. A 124, 841 (2018). https://doi.org/10.1007/s00339-018-2259-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00339-018-2259-0