𝔖 Bobbio Scriptorium
✦   LIBER   ✦

High field magneto-transport in a Sierpiński gasket fractal

✍ Scribed by David J. Bergman; Audrey K. Sarychev

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
262 KB
Volume
191
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis

The critical behavior of magneto-transport in a percolating medium in the presence of a magnetic field H of arbitrary strength is discussed. A discrete network model is used to solve the problem exactly for a three-dimensional Sierpiriski gasket fractal. We find that there is strong magneto-resistance in this model. We also find a new scaling behavior of the effective ohmic resistivity p"'(L, H) as function of the size L of the fractal and magnetic field H. In a percolating metal-insulator mixture, the resistivity ratio with and without a field p"'( p, H) / pCe'( p, 0) is predicted to saturate at the percolation threshold p + p, at a value -Ho ?

📜 SIMILAR VOLUMES

Magneto-transport of electrons in a nonh
Magneto-transport of electrons in a nonhomogeneous magnetic field
✍ I.S. Ibrahim; V.A. Schweigert; S.M. Badalian; F.M. Peeters 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 115 KB

We investigate the magnetoresistance of a two-dimensional electron gas (2DEG) in the presence of a magnetic tunnel barrier of µm width. The classical 2D electrostatic problem is solved numerically from which we obtain the potential, electric field and current distribution in the 2DEG. We found that

Recent advances in strong field magneto-
Recent advances in strong field magneto-transport in a composite medium
✍ David J. Bergman; Yakov M. Strelniker; Andrey K. Sarychev 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 276 KB

Macroscopic inhomogeneities have a profound effect on electrical conductivity in the presence of a strong magnetic field B. One expression of this is the appearance of a new physical length in the system, which increases with B and is unbounded. This length characterizes the extra distortions of the