168
A. M. Korol et al.
References
1. Raoux A, Morigi M, Fuchs J-N, Piéchon F, Montambaux G (2014) From Dia- to paramagnetic
orbital susceptibility of massless fermions. Phys Rev Lett 112:026402
2. Piéchon F, Fuchs J-N, Raoux A, and Montambaux G (2015) Tunable orbital susceptibility in
α-T 3 tight-binding models. J Phys Conf Ser 603:012001
3. Malcolm JD, Nicol EJ (2015) Magneto-optics of massless kane fermions: role of the flat band
and unusual Berry phase. Phys Rev B 92:035118
4. Illes E, Nicol EJ (2016) Magnetic properties of the α-T3 model: Magneto-optical conductivity
and the Hofstadter butterfly. Phys Rev B 94:125435
5. Kovács ÁD, Dávid G, Dóra B, Cserti J (2017) Frequencydependent magneto-optical conductivity in the generalized α-T3 model. Phys Rev B 95:035414
6. Biswas T, Ghosh TK (2015) Magnetotransport properties of the α-T3 model. J Phys Condens
Matter 28:95302
7. Illes E, Carbotte JP, Nicol EJ (2015) Hall quantization and optical conductivity evolution with
variable Berry phase in the α-T3 model. Phys Rev B 92:245410
8. Illes EE, Nicol EJ (2017) Klein tunneling in the alfa-T 3 model. Phys Rev B 95:235432
9. Wehling TO, Black-Schaffer AM, Balatsky AV (2014) Dirac materials. Adv Phys 63:1
10. Liu L, Li Y-X, Liu J (2012) Transport properties of Dirac electrons in graphene based double
velocity-barrier structures in electric and magnetic fields. Phys Lett A 376:3342–3350
11. Wang Y, Liu Y, Wang B (2013) Resonant tunneling and enhanced Goos-Hänchen shift in
graphene double velocity barrier structure. Physica E 53:186–192
12. Sun L, Fang C, Liang T (2013) Novel transport properties in monolayer graphene with velocity
modulation. Chin PhysLett 30(4):047201
13. Raoux A, Polini M, Asgari R, Hamilton AR, Fasio R, MacDonald AH (2009) Velocity–modulation control of electron-wave propagation in graphene. arXiv:0912.2608v1 [cond-mat.mesholl]
14. Concha A, Tešanovi´ c Z (2010) Effect of a velocity barrier on the ballistic transport of Dirac
fermions. Phys Rev B 82:033413
15. Yuan JH, Zhang JJ, Zeng QJ, Zhang JP, Cheng Z (2011) Tunneling of Dirac fermions in graphene
through a velocity barrier with modulated by magnetic fields. Phys B 406:4214–4220
16. Krstajic PM, Vasilopoulos P (2011) Ballistic transport through graphene nanostructures of
velocity and potential barriers. J Phys Condens Matter 23:000000(8 pp)
17. Korol AM, Medvid’ NV, Litvynchuk SI (2015) Transport properties of the Dirac-Weyl electrons through the graphene-based superlattice modulated by the Fermi velocity barriers. In:
Proceedings in Physics, vol 167. Springer, pp 215–221
18. Korol AM, Medvid’ NV, Sokolenko AI (2018) Transmission of the relativistic fermions with
the Pseudospin equal to one through the quasi-periodic barriers. Physica Status Solidi (B) Basic
Res 255(9):1800046
19. Korol AM, Medvid’ NV, Sokolenko AI, Sokolenko IV (2019) Ballistic transmission of the
Dirac quasielectrons through the barrier in the 3D topological insulators. In: Proceedings in
Physics, vol 221. Springer, pp 517–525
20. Korol AM (2019) Tunneling conductance of the s-wave and d-wave pairing superconductive
graphene-normal graphene junction. Low Temp Phys 45(5):A48
21. Takahashi R, Murakami S (2011) Gapless interface states between topological insulators with
opposite dirac velocities. Phys Rev 107:166805
22. Sen D, Deb O (2012) Junction between surfaces of two topological insulators. Phys Rev B
85:245402
A. M. Korol et al.
References
1. Raoux A, Morigi M, Fuchs J-N, Piéchon F, Montambaux G (2014) From Dia- to paramagnetic
orbital susceptibility of massless fermions. Phys Rev Lett 112:026402
2. Piéchon F, Fuchs J-N, Raoux A, and Montambaux G (2015) Tunable orbital susceptibility in
α-T 3 tight-binding models. J Phys Conf Ser 603:012001
3. Malcolm JD, Nicol EJ (2015) Magneto-optics of massless kane fermions: role of the flat band
and unusual Berry phase. Phys Rev B 92:035118
4. Illes E, Nicol EJ (2016) Magnetic properties of the α-T3 model: Magneto-optical conductivity
and the Hofstadter butterfly. Phys Rev B 94:125435
5. Kovács ÁD, Dávid G, Dóra B, Cserti J (2017) Frequencydependent magneto-optical conductivity in the generalized α-T3 model. Phys Rev B 95:035414
6. Biswas T, Ghosh TK (2015) Magnetotransport properties of the α-T3 model. J Phys Condens
Matter 28:95302
7. Illes E, Carbotte JP, Nicol EJ (2015) Hall quantization and optical conductivity evolution with
variable Berry phase in the α-T3 model. Phys Rev B 92:245410
8. Illes EE, Nicol EJ (2017) Klein tunneling in the alfa-T 3 model. Phys Rev B 95:235432
9. Wehling TO, Black-Schaffer AM, Balatsky AV (2014) Dirac materials. Adv Phys 63:1
10. Liu L, Li Y-X, Liu J (2012) Transport properties of Dirac electrons in graphene based double
velocity-barrier structures in electric and magnetic fields. Phys Lett A 376:3342–3350
11. Wang Y, Liu Y, Wang B (2013) Resonant tunneling and enhanced Goos-Hänchen shift in
graphene double velocity barrier structure. Physica E 53:186–192
12. Sun L, Fang C, Liang T (2013) Novel transport properties in monolayer graphene with velocity
modulation. Chin PhysLett 30(4):047201
13. Raoux A, Polini M, Asgari R, Hamilton AR, Fasio R, MacDonald AH (2009) Velocity–modulation control of electron-wave propagation in graphene. arXiv:0912.2608v1 [cond-mat.mesholl]
14. Concha A, Tešanovi´ c Z (2010) Effect of a velocity barrier on the ballistic transport of Dirac
fermions. Phys Rev B 82:033413
15. Yuan JH, Zhang JJ, Zeng QJ, Zhang JP, Cheng Z (2011) Tunneling of Dirac fermions in graphene
through a velocity barrier with modulated by magnetic fields. Phys B 406:4214–4220
16. Krstajic PM, Vasilopoulos P (2011) Ballistic transport through graphene nanostructures of
velocity and potential barriers. J Phys Condens Matter 23:000000(8 pp)
17. Korol AM, Medvid’ NV, Litvynchuk SI (2015) Transport properties of the Dirac-Weyl electrons through the graphene-based superlattice modulated by the Fermi velocity barriers. In:
Proceedings in Physics, vol 167. Springer, pp 215–221
18. Korol AM, Medvid’ NV, Sokolenko AI (2018) Transmission of the relativistic fermions with
the Pseudospin equal to one through the quasi-periodic barriers. Physica Status Solidi (B) Basic
Res 255(9):1800046
19. Korol AM, Medvid’ NV, Sokolenko AI, Sokolenko IV (2019) Ballistic transmission of the
Dirac quasielectrons through the barrier in the 3D topological insulators. In: Proceedings in
Physics, vol 221. Springer, pp 517–525
20. Korol AM (2019) Tunneling conductance of the s-wave and d-wave pairing superconductive
graphene-normal graphene junction. Low Temp Phys 45(5):A48
21. Takahashi R, Murakami S (2011) Gapless interface states between topological insulators with
opposite dirac velocities. Phys Rev 107:166805
22. Sen D, Deb O (2012) Junction between surfaces of two topological insulators. Phys Rev B
85:245402