T ¼
hv
2
f
2μαM
ð6:7Þ
Now, from relation (6.7) we can see that if the parameters μ, α, M are adjusted in
proper way then one can have
T % 1
ð6:8Þ
which is the intrinsic property for ballistic transport. Thus, relation (6.7) is novel and
resorting to it one can achieve ballistic transport in nanowires, so that an electric
pulse can be transmitted through the medium without significant losses.
6.3 Discussion
Currently, optical fibres are considered as the best medium for telecommunication
and computer networking. Nevertheless, owing to attenuation loss which is lesser
than in case of electric cables, communication systems experience many difficulties.
In general, a light signal carries the information through the fibre which serves as an
optical waveguide and the wave propagates by virtue of total internal reflection.
Evidently, there are losses due to the many reflections and collisions.
But, according to this chapter, if an electrical signal carries information in lieu of a
light signal through the medium of a 1D nanowire, then evidently there would be
almost no loss and the communication technology can advance further taking a
steady and huge leap. This could indeed be beneficial for the advancement in both
the field of nanotechnology and telecommunications.
References
Buttiker M (1988) Absence of backscattering in the quantum Hall effect in multiprobe conductors.
Phys Rev B 38:9375
Choi KK, Tsui DC, Palmateer SC (1985) Size effects on electron-electron interactions in GaAsAlxGa1ÀxAs heterostructures. Phys Rev B 32:5540
Datta S (1997) Electronic transport in mesoscopic systems. Cambridge University Press,
New York, pp 57–111. ISBN 0-521-59943-1
Drude P (1900a) Zur Elektronentheorie der Metalle. Ann Phys 306:566–613
Drude P (1900b) Zur Elektronentheorie der Metalle; II. Teil. Galvanomagnetische und
thermomagnetische Effecte. Ann Phys 308:369–402
Frank S et al (1998) Carbon nanotube quantum resistors. Science 280:1744–1746
Houten HV, Beenakker C (1996) Quantum point contacts. Phys Today 49(7):22–27
Kumar RK et al (2017) Superballistic flow of viscous electron fluid through graphene constrictions.
Nat Phys 13:1182. https://doi.org/10.1038/NPHYS4240
Landauer R (1957) Spatial variation of currents and fields due to localized scatterers in metallic
conduction. IBM J Res Dev 1:223–231. https://doi.org/10.1147/rd.13.0223
6 Ballistic Transport in Nanowires
65
hv
2
f
2μαM
ð6:7Þ
Now, from relation (6.7) we can see that if the parameters μ, α, M are adjusted in
proper way then one can have
T % 1
ð6:8Þ
which is the intrinsic property for ballistic transport. Thus, relation (6.7) is novel and
resorting to it one can achieve ballistic transport in nanowires, so that an electric
pulse can be transmitted through the medium without significant losses.
6.3 Discussion
Currently, optical fibres are considered as the best medium for telecommunication
and computer networking. Nevertheless, owing to attenuation loss which is lesser
than in case of electric cables, communication systems experience many difficulties.
In general, a light signal carries the information through the fibre which serves as an
optical waveguide and the wave propagates by virtue of total internal reflection.
Evidently, there are losses due to the many reflections and collisions.
But, according to this chapter, if an electrical signal carries information in lieu of a
light signal through the medium of a 1D nanowire, then evidently there would be
almost no loss and the communication technology can advance further taking a
steady and huge leap. This could indeed be beneficial for the advancement in both
the field of nanotechnology and telecommunications.
References
Buttiker M (1988) Absence of backscattering in the quantum Hall effect in multiprobe conductors.
Phys Rev B 38:9375
Choi KK, Tsui DC, Palmateer SC (1985) Size effects on electron-electron interactions in GaAsAlxGa1ÀxAs heterostructures. Phys Rev B 32:5540
Datta S (1997) Electronic transport in mesoscopic systems. Cambridge University Press,
New York, pp 57–111. ISBN 0-521-59943-1
Drude P (1900a) Zur Elektronentheorie der Metalle. Ann Phys 306:566–613
Drude P (1900b) Zur Elektronentheorie der Metalle; II. Teil. Galvanomagnetische und
thermomagnetische Effecte. Ann Phys 308:369–402
Frank S et al (1998) Carbon nanotube quantum resistors. Science 280:1744–1746
Houten HV, Beenakker C (1996) Quantum point contacts. Phys Today 49(7):22–27
Kumar RK et al (2017) Superballistic flow of viscous electron fluid through graphene constrictions.
Nat Phys 13:1182. https://doi.org/10.1038/NPHYS4240
Landauer R (1957) Spatial variation of currents and fields due to localized scatterers in metallic
conduction. IBM J Res Dev 1:223–231. https://doi.org/10.1147/rd.13.0223
6 Ballistic Transport in Nanowires
65