Differential entropy per particle in Dirac semimetals in external magnetic field

We obtain a general expression for the differential entropy per particle (DEP) for three-dimensional Dirac systems as a function of chemical potential, temperature and magnetic field. It is shown that in the presence of magnetic field the dependence of DEP on the chemical potential near a charge neutral point is quite different from the corresponding dependence in graphene. Specifically, we observe a flat region with almost zero DEP near the charge neutral point which grows with the increase of the magnetic field followed then by decreasing oscillations due to contributions from the Landau levels. In contrast, in graphene there is a sharp peak observed for the chemical potential in the temperature vicinity of the Dirac point.

Key words: 3D Dirac systems, differential entropy, chemical potential, magnetic field.

References

1. A. Y. Kuntsevich, V. M. Pudalov, I. V. Tupikov, and I. S. Burmistrov, Nat. Commun. 6, 7298 (2015). CrossRef Google Scholar

2. A. A. Varlamov, A. V. Kavokin, and Y. M. Galperin, Phys. Rev. B 93, 155404 (2016). CrossRef Google Scholar

3. V. Y. Tsaran, A. V. Kavokin, S. G. Sharapov, A. A. Varlamov, and V. P. Gusynin, Sci. Rep. 7, 10271 (2017). CrossRef Google Scholar

4. D. Grassano, O. Pulci, V. O. Shubnyi, S. G. Sharapov, V. P. Gusynin, A. V. Kavokin, and A. A. Varlamov, Phys. Rev. B 97, 205442 (2018). CrossRef Google Scholar

5. V. O. Shubnyi, V. P. Gusynin, S. G. Sharapov, and A. A. Varlamov, Fiz. Nizk. Temp. 44, 721 (2018) [Low Temp. Phys. 44, 561 (2018)]. CrossRef Google Scholar

6. Y. M. Galperin, D. Grassano, V. P. Gusynin, A. V. Kavokin, O. Pulci, S. G. Sharapov, V. O. Shubnyi, and A. A. Varlamov, J. Exp. Theor. Phys. 127, 958 (2018). CrossRef Google Scholar

7. T. O. Wehling, A. M. Black-Schaffer, and A. V. Balatsky, Adv. Phys. 63, 1 (2014). CrossRef Google Scholar

8. M. H. Cohen and E. I. Blount, Philos. Mag. 5, 115 (1960). CrossRef Google Scholar

9. P. A. Wolff, J. Phys. Chem. Solids 25, 1057 (1964). CrossRef Google Scholar

10. L. A. Fal’kovskii, Sov. Phys. Usp. 11, 1 (1968) [Usp. Fiz. Nauk 94, 3 (1968)]. CrossRef Google Scholar

11. V. S. Edel’man, Sov. Phys. Usp. 20, 819 (1977) [Usp. Fiz. Nauk 123, 257 (1977)]. CrossRef Google Scholar

12. B. Lenoir, M. Cassart, J.-P. Michenaud, H. Scherrer, and S. Scherrer, J. Phys. Chem. Solids 57, 89 (1996). CrossRef Google Scholar

13. Z. K. Liu, B. Zhou, Z. J. Wang, H. M. Weng, D. Prabhakaran, S.-K. Mo, Y. Zhang, Z. X. Shen, Z. Fang, X. Dai, Z. Hussain, and Y. L. Chen, Science 343, 864 (2014). CrossRef Google Scholar

14. M. Neupane, S.-Y. Xu, R. Sankar, N. Alidoust, G. Bian, C. Liu, I. Belopolski, T.-R. Chang, H.-T. Jeng, H. Lin, A. Bansi, F. Chou, and M. Z. Hasan, Nature Commun. 5, 3786 (2014). CrossRef Google Scholar

15. S. Borisenko, Q. Gibson, D. Evtushinsky, V. Zabolotnyy, B. Buchner, and R. J. Cava, Phys. Rev. Lett. 113, 027603 (2014). CrossRef Google Scholar

16. P. E. C. Ashby and J. P. Carbotte, Eur. Phys. J. B 87, 92 (2014). CrossRef Google Scholar

17. S. G. Sharapov, V. P. Gusynin, and H. Beck, Phys. Rev. B 69, 075104 (2004). CrossRef Google Scholar