What you are saying is the current carrying capacity of a conductor is
proportional to the cross sectional area of the conductor. That is true
only for the macro scale.
Current flow in a 1 dimensional SWNT appears to be governed by quite
different mechanisms. I do not believe the Current carrying capacity of a
CNT is proportional to its cross sectional area. I believe SWNTs with
smaller diameters can carry more current that MWNT with larger diameters. I
believe that is exactly what "long coherence lengths" mean in this context.
Tell me where I'm wrong.
Jojo
----- Original Message -----
From: <pagnu...@htdconnect.com>
To: <vortex-l@eskimo.com>
Sent: Monday, June 25, 2012 11:59 AM
Subject: Re: [Vo]:Coherent Quantum Wires and Charge Accumulation
Jojo,
Please note this correction -
"...current density is directly related to radius^2..."
- should read
"...current is directly related to radius^2..."
The extra word changes the meaning entirely.
Too large a radius (~ electron mean free path), though, will make the
current diffusive instead of ballistic.
-- Lou Pagnucco
Lou Pagnucco wrote:
Jojo,
I believe in both metal nanowires and carbon SWNTs, current density is
directly related to radius^2 - Refer to equation(1), page 1 of -
"Stability of Metal Nanowires at Ultrahigh Current Densities"
http://arxiv.org/pdf/cond-mat/0411058v3.pdf