Thermoelectric properties, Shubnikov–de Haas effect and mobility of charged carriers in telluride and selenide of bismuth and antimony and nanocomposite based on these materials

We describe here the investigation of the Shubnikov–de Haas effect and thermoelectric properties of single crystals р-(Bi_0.5Sb_0.5)₂Te₃, doped with Ga, n-Bi_2–xTl_xSe₃ and p-Sb_2–xTl_xTe₃. Using Fourier-transforms of oscillations we calculated the charged carrier mobilities and how they change under doping. We found that Ga has a donor effect in р-(Bi_0.5Sb_0.5)₂Te₃, Tl is an acceptor in n-Bi_2–xTl_xSe₃ and increases the mobility of electrons, while in p-Sb_2–xTl_xTe₃ Tl is a donor and decreases the mobility of holes. We discuss the number and type of defects in crystal whose are responsible for the observed effects. We also synthesized and investigated nanocomposites of solid solutions Sb₂Te_3–xSe_x (0 < x <1). When the Se concentration increases in Sb₂Te_3–xSe_x the concentration of holes decreases. At the same time the Seebeck coefficient decreases. This is not typical for semiconductors but correlates with the earlier data. A theoretical model was developed to calculate simultaneously the dependence of Seebeck coefficient, Hall coefficient and conductivity on Se concentration x. Calculations showed that for a simultaneous quantitative description of the thermoelectric and galvanomagnetic data we have to take into consideration the change of the band structure of Sb₂Te_3–xSe_x and partial localization of the holes.

PACS: 72.15.Eb Electrical and thermal conduction in crystalline metals and alloys;
PACS: 72.20.Pa Thermoelectric and thermomagnetic effects;
PACS: 73.63.Bd Nanocrystalline materials;
PACS: 71.18.+y Fermi surface: calculations and measurements; effective mass, g factor.

Key words: thermoelectric properties, Shubnikov–de Haas effect, charged carriers mobilities.

References

1. V. A. Kulbachinskii , V. G. Kytin , P. M. Tarasov , and N. A. Yuzeeva , Fiz. Tverd. Tela 52, 1707 (2010) V. A. Kulbachinskii , V. G. Kytin , P. M. Tarasov , and N. A. Yuzeeva , [Phys. Solid State 52, 1830 (2010)] CrossRef Google Scholar

2. P. JanÃÄek , Ä. DraÅ¡ar , L. BeneÅ¡ , and P. LoÅ¡Å¥Ã¡k , Cryst. Res. Technol. 44, 505 (2009). CrossRef Google Scholar

3. V. A. Kulbachinskii , A. A. Kudryashov , and V. G. Kytin , Fiz. Tekh. Poluprovodn. 49, 786 (2015) V. A. Kulbachinskii , A. A. Kudryashov , and V. G. Kytin , [Semiconductors 49, 767 (2015)] CrossRef Google Scholar

4. V. A. Kulbachinskii , A. A. Kudryashov , and V. G. Kytin , J. Phys.: Conf. Ser. 568, 052014 (2014). CrossRef Google Scholar

5. P. LoÅ¡Å¥Ã¡k , R. NovotnÃ½ , J. HorÃ¡k , and J. Klikorka , Phys. Status Solidi A 89, K55 (1985). CrossRef Google Scholar

6. A. Sher , M. Shilon , and L. Ben-dor , J. Electron. Mater. 12, 983 (1983). CrossRef Google Scholar

7. H. Zhang , C.-X. Liu , X.-L. Qi , X. Dai , Z. Fang , and S.-C. Zhang , Nat. Phys. 5, 438 (2009). CrossRef Google Scholar

8. H. Lind , S. Lidin , and U. HÃ¤ussermann , Phys. Rev. B 72, 184101 (2005); CrossRef Google Scholar

9. H. D. Li , Z. Y. Wang , X. Kan , X. Guo , H. T. He , Z. Wang , J. N. Wang , T. L. Wong , N. Wang , and M. H. Xie , New J. Phys. 12, 103038 (2010). CrossRef Google Scholar

10. B. M. Goltsman , V. A. Kudinov , and I. A. Smirnov , Semiconductor Thermoelectric Materials Based on Bi2Te3 (Nauka, Moscow, 1972) [Army Foreign Science and Technology Center, Charlottesville, Virginia, United States (1973)]. Google Scholar

11. V. A. Kulbachinskii , N. B. Brandt , P. A. Cheremnykh , S. A. Azou , J. Horak , and P. Lostak , Phys. Status Solidi B 150, 237 (1988). CrossRef Google Scholar

12. V. A. Kul'bachinskii , N. E. Klokova , Ya. Khorak , and P. Loshtak , Fiz. Tverd. Tela (Leningrad) 31, 205 (1989) V. A. Kul'bachinskii , N. E. Klokova , Ya. Khorak , and P. Loshtak , [Sov. Phys. Solid State 31, 112 (1989)]. Google Scholar

13. V. A. Kulbachinskii , M. Inoue , M. Sasaki , H. Negishi , W. X. Gao , K. Takase , Y. Giman , P. Lostak , and J. Horak , Phys. Rev. B 50, 16921 (1994). CrossRef Google Scholar

14. C. M. Jaworski , V. A. Kulbachinskii , and J. P. Heremans , Phys. Rev. B 80, 233201 (2009). CrossRef Google Scholar

15. V. A. Kulbachinskii , Z. M. Dashevskii , M. Inoue , M. Sasaki , H. Negishi , W. X. Gao , P. Lostak , J. Horak , and A. de Visser , Phys. Rev. B 52, 10915 (1995). CrossRef Google Scholar

16. V. A. Kulbachinskii , N. Miura , H. Nakagawa , C. Drashar , and P. Lostak , J. Phys. C 11, 5273 (1999).CAS Google Scholar

17. T. Thonhauser , T. J. Scheidemantel , J. O. Sofo , J. V. Badding , and G. D. Mahan , Phys. Rev. B 68, 085201 (2003). CrossRef Google Scholar

18. S. K. Mishra , S. Satpathyyz , and O. Jepsen , J. Phys.: Condens. Matter 9, 461 (1997). CrossRef Google Scholar

19. J. R. Drabble and R. Wolf , Proc. Phys. Soc. Sect. B 69, 1101 (1956). CrossRef Google Scholar

20. H. Kohler , Phys. Status Solidi B 74, 591 (1976). CrossRef Google Scholar

21. H. Kohler and A. Freudenberger , Phys. Status Solidi B 84, 95 (1977). Google Scholar

22. L. P. Caywood and G. R. Miller , Phys. Rev. B 2, 3209 (1970). CrossRef Google Scholar

23. V. A. KulbachinskiÄ , A. Yu. KaminskiÄ , P. M. Tarasov , and P. Lostak , Fiz. Tverd. Tela 48, 594 (2006) V. A. KulbachinskiÄ , A. Yu. KaminskiÄ , P. M. Tarasov , and P. Lostak , [Phys. Solid State 48, 833 (2006)] CrossRef Google Scholar

24. P. M. Koenraad , in Delta Doping of Semiconductors, edited by E. F. Schubert (Cambridge University Press, Cambridge, 1996). Google Scholar

25. P. M. Koenraad , A. F. W. van de Stadt , J. M. Shi , G. Q. Hai , N. Studart , P. Vansant , F. M. Peeters , J. T. Devreese , J. A. A. J. Perenboom , and J. H. Wolter , Physica B 211, 462 (1995). CrossRef Google Scholar

26. P. T. Coleridge , R. Stoner , and R. Fletcher , Phys. Rev. B 39, 1120 (1989). CrossRef Google Scholar

27. V. A. Kulbachinskii , V. G. Kytin , R. A. Lunin , V. G. Mokerov , A. P. Senichkin , A. S. Bugaev , A. L. Karuzski , and A. V. Perestoronin , Semiconductors 33, 771 (1999). CrossRef Google Scholar

28. A. Isihara and L. Smrcka , J. Phys. C 19, 6777 (1986). CrossRef Google Scholar

29. V. A. Kulbachinskii , R. A. Lunin , N. A. Yuzeeva , I. S. Vasilievskii , G. B. Galiev , and E. A. Klimov , Semiconductors 47, 935 (2013). CrossRef Google Scholar

30. V. A. Kulbachinskii , R. A. Lunin , N. A. Yuzeeva , I. S. Vasil'evskii , G. B. Galiev , and E. A. Klimov , J. Exp. Theor. Phys. 116, 755 (2013). CrossRef Google Scholar

31. V. A. Kulbachinskii , L. N. Oveshnikov , R. A. Lunin , N. A. Yuzeeva , G. B. Galiev , E. A. Klimov , and P. P. Maltsev , Semiconductors 49, 199 (2015). CrossRef Google Scholar

32. E. Skuras , R. Kumar , R. L. Williams , R. A. Stradling , J. E. Dmochowski , E. A. Johnson , A. Mackinnon , J. J. Harris , R. B. Beall , C. Skierbeszewski , J. Singleton , and P. J. van der Wel , Semicond. Sci. Technol. 6, 535 (1991). CrossRef Google Scholar

33. P. T. Coleridge , Phys. Rev. B 44, 3793 (1991). CrossRef Google Scholar

34. P. M. Koenraad , in Delta-doping of Semiconductors, edited by E. F. Shubert (Cambridge University Press, 1996), Chap. 17, p. 407. Google Scholar

35. J. Horak , L. Tichy , P. Lostak , and A. Vasko , Cryst. Lattice Defects 6, 223 (1976). Google Scholar

36. N. Kh. Abrikosov , V. F. Bankina , L. V. Poretskaya , L. E. Shelimova , and E. V. Skudnova , Semiconducting IIâIV, IVâI and VâVI Compounds (Plenum Press, New York, 1969), Chap. III. Google Scholar

37. R. F. Brebrick , J. Phys. Chem. Solids 30, 719 (1969). CrossRef Google Scholar

38. C. B. Satterwaite and R. W. Ure , Phys. Rev. 108, 1164 (1957). CrossRef Google Scholar

39. G. R. Miller and C.-Y. Li , J. Phys. Chem. Solids 26, 173 (1965). CrossRef Google Scholar

40. G. Offergeld and J. van Cakenberghe , J. Phys. Chem. Solids 11, 310 (1959). CrossRef Google Scholar

41. A. SklenÃ¡Å , Ä. DraÅ¡ar , A. KrejÄovÃ¡ , and P. LoÅ¡Å¥Ã¡k , Cryst. Res. Technol. 35, 1069 (2000). CrossRef Google Scholar

42. K. Behnia , Fundamentals of Thermoelectricity (Oxford, United Kingdom, 2015). Google Scholar

43. J. Navratil , P. Lostak , and J. Horak . Cryst. Res. Technol. 26, 675 (1991). CrossRef Google Scholar

44. K. Malik , D. Das , D. Mondal , D. Chattopadhyay , A. K. Deb , S. Bandyopadhyay , and A. Banerjee , J. Appl. Phys. 112, 083706 (2012). CrossRef Google Scholar

45. J. G. M. Van Berkum , G. J. M. Sprong , T. de Keijser , R. Delhez , and E. J. Sonneveld , Powder Diffr. 10, 129 (1995). CrossRef Google Scholar

46. L. Lutterotti , S. Matthies , and H. R. Wenk , in Proceeding of ICOTOM14, edited by J. A. Spunar (National Research Council of Canada, Ottawa, 1999), p. 1599; L. Lutterotti , S. Matthies , and H. R. Wenk , IUCr: Newsl. CPD 21, 14 (1999). Google Scholar

47. R. Basu , S. Bhattacharya , R. Bhatt , A. Sing , D. K. Aswal , and S. K. Gupta , J. Electron. Mater. 42, 2292 (2013). CrossRef Google Scholar

48. K. M. F. Shahil , M. Z. Hossain , V. Goyal , and A. A. Balandin , J. Appl. Phys. 111, 054305 (2012). CrossRef Google Scholar

49. J. Zhang , Z. Peng , A. Soni , Y. Zhao , Y. Xiong , B. Peng , J. Wang , M. S. Dresselhaus , and Q. Xiong , Nano Lett. 11, 2407 (2011). CrossRef Google Scholar

50. Y. Kim , X. Chen , Z. Wang , J. Shi , I. Miotkowski , Y. P. Chen , P. A. Sharma , A. L. Lima Sharma , M. A. Hekmaty , Z. Jiang , and D. Smirnov , Appl. Phys. Lett. 100, 071907 (2012). CrossRef Google Scholar

51. G. C. Sosso , S. Caravati , and M. Bernasconi , J. Phys.: Condens. Matter 21, 095410 (2009). CrossRef Google Scholar

52. D. Das , K. Malik , A. K. Deb , S. Dhara , S. Bandyopadhyay , and A. Banerjee , J. Appl. Phys. 118, 045102 (2015). CrossRef Google Scholar

53. V. A. Kulbachinskii , A. Yu. Kaminsky , K. Kindo , Y. Narumi , K. Suga , S. Kawasaki , M. Sasaki , N. Miyajima , G. R. Wu , P. Lostak , and P. Hajek , Phys. Status Solidi B 229, 1467 (2002). CrossRef Google Scholar

54. P. Dutta , D. Bhoi , A. Midya , N. Khan , P. Mandal , S. S. Samatham , and V. Ganesan , Appl. Phys. Lett. 100, 251912 (2012). CrossRef Google Scholar

55. K. Malik , D. Das , S. Bandyopadhyay , P. Mandal , A. K. Deb , V. Srihari , and A. Banerjee , Appl. Phys. Lett. 103, 242108 (2013). CrossRef Google Scholar

56. V. A. Kulbachinskii , H. Negishi , M. Sasaki , Y. Giman , M. Inoue , P. Lostak , and J. Horak , Phys. Status Solidi B 199, 505 (1997). CrossRef Google Scholar

57. V. A. Kulbachinskii , A. Yu. Kaminsky , and R. A. Lunin , Semicond. Science Technol. 17, 1133 (2002). CrossRef Google Scholar

58. V. A. Kulbachinskii , V. G. Kytin , A. A. Kudryashov , and P. M. Tarasov , J. Solid State Chem. 193, 47 (2012). CrossRef Google Scholar

59. B. Skinner , T. Chen , and B. I. Shklovskii , Phys. Rev. Lett. 109, 176801 (2012). CrossRef Google Scholar

60. A. Akrap , A. Ubaldini , E. Giannini , and L. Forro , EPL 107, 57008 (2014). CrossRef Google Scholar

61. V. D. Blank , S. G. Buga , V. A. Kulbachinskii , V. G. Kytin , V. V. Medvedev , M. Y. Popov , P. Stepanov , and V. F. Skok , Phys. Rev. B 86, 075426 (2012). CrossRef Google Scholar

62. V. A. Kulbachinskii , V. G. Kytin , M. Yu. Popov , S. G. Buga , P. B. Stepanov , and V. D. Blank , J. Solid State Chem. 193, 64 (2012). CrossRef Google Scholar