Author Topic: Transmission Spectrum  (Read 3868 times)

0 Members and 1 Guest are viewing this topic.

Offline PJ

  • Regular QuantumATK user
  • **
  • Posts: 7
  • Country: in
  • Reputation: 0
    • View Profile
Transmission Spectrum
« on: June 21, 2013, 10:57 »
Hi,
Can anyone please explain me what is the formula by which transmission spectrum is converted to conductance at zero bias. I have searched it on internet, but I could not found it. I found the conductance using Transmission spectrum from analyzer, and I got two conductance, one G0 which is a straight line and one at the bottom, which is an integer value.
Please explain me for the same. I have also attached the TS curve with this query.

Offline kstokbro

  • Supreme QuantumATK Wizard
  • *****
  • Posts: 392
  • Reputation: 13
    • View Profile
    • QuantumWise
Re: Transmission Spectrum
« Reply #1 on: June 26, 2013, 03:13 »
At T=0, the conductance in units of G0 is given by the transmission coefficient at the Fermi level.

You system has a conductance of 0.000125 G0 (upper figure), corresponding to T(0)=0.000125 (lower figure).

For T>0 the conductance is averaged with the derivative of the fermi function, 
see forinstance  Phys Rev. B 79, 205322 (2009)
however, this is an unimportant detail for your system.

Offline PJ

  • Regular QuantumATK user
  • **
  • Posts: 7
  • Country: in
  • Reputation: 0
    • View Profile
Re: Transmission Spectrum
« Reply #2 on: June 26, 2013, 08:00 »
A very thanks for your reply. I am still not clear that you have written that at T=0, the conductance in units of G0 is given by the transmission coefficient at the Fermi level.  But I have calculated all the results at NO BIAS, i.e. I have not applied any voltage, so does it mean the same (i.e at T=0).
And without applying any voltage, how we get a transmission curve, as electron can only move from left to right in the presence of voltage.
And why we take transmission coefficient at the Fermi level.

Offline Anders Blom

  • QuantumATK Staff
  • Supreme QuantumATK Wizard
  • *****
  • Posts: 5576
  • Country: dk
  • Reputation: 96
    • View Profile
    • QuantumATK at Synopsys
Re: Transmission Spectrum
« Reply #3 on: July 21, 2013, 23:43 »
Conductance is the quantum ballistic version of resistance. Even if you don't apply any voltage to a copper wire, it still has a specific resistance. Same with conductance. We can estimate the low-bias conductance from the zero bias transmission spectrum, although in principle it should be computed from dI/dV where V goes to zero (at least the differential conductance). But assuming it's linear at small bias, you can use the expression mentioned above.