Quantum conductivity exponent of a fractal non-branching Koch curve

Zheng, Dewen; Liu, Youyan; Wang, Z.D.

doi:10.1016/0038-1098(96)00089-0

Cited by 4 publications

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, for the ⌽ϭ0 case the transmission coefficient is almost independent of the number of ring in the PRS. It should be pointed out that although the present PRS has some similarities to fractal systems and a Cayley tree, 25,26 the actual configurations of these systems are quite different. Figures 6 and 7 show the transmission coefficient as a function of the electron energy and magnetic flux for rings connected in series for the number of rings equals to 2, 4, 6, and 8, respectively.…”

Section: A Transport Properties Of Parallel Multiring Systemsmentioning

confidence: 93%

Electronic-transport properties of tight-binding multiring systems

Liu

Hui

1998

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

Systems consisting of open mesoscopic rings threaded by a magnetic flux ⌽ and connected in parallel and in series are studied within the tight-binding model. A recursion method, which allows one to deal with systems consisting of a large number of rings, is found for the calculation of transmission amplitutes. The numerical results show that for systems with rings connected in series and in parallel, the quantum coherence effect plays quite different roles. We found that as the number of rings increases, the magnetic flux ⌽ will progressively block the transmission through the system for parallel multiring systems ͑PRS͒, but not for the serial multiring systems ͑SRS͒. In the absence of magnetic flux, the transmission coefficient T in PRS decreases only slightly when the ring number N increases, while T in SRS decreases rapidly with an increasing number of rings.

show abstract

Section: A Transport Properties Of Parallel Multiring Systemsmentioning

confidence: 93%