Author Topic: Is transmission eigenstate normalized?  (Read 117 times)

0 Members and 1 Guest are viewing this topic.

Offline wot19920302

  • ATK Guru
  • ****
  • Posts: 123
  • Country: cn
  • Reputation: 0
    • View Profile
Is transmission eigenstate normalized?
« on: April 18, 2019, 04:16 »
Dear Quantumwise staffs:
        I wanna know whether all transmission eigenstates calculated with certain energy E and kpoint k have been normalized?

Offline wot19920302

  • ATK Guru
  • ****
  • Posts: 123
  • Country: cn
  • Reputation: 0
    • View Profile
Re: Is transmission eigenstate normalized?
« Reply #1 on: April 21, 2019, 15:16 »
can anyone help me?

Offline Anders Blom

  • QuantumWise Staff
  • Supreme ATK Wizard
  • *****
  • Posts: 4966
  • Country: dk
  • Reputation: 78
    • View Profile
    • QuantumWise
Re: Is transmission eigenstate normalized?
« Reply #2 on: April 26, 2019, 20:29 »
Do you mean the eigenstate or the eigenvalues, actually? Well, both are normalized, so eigenvalues range from 0 to 1, and the eigenstates should integrate to 1 over space.

Offline wot19920302

  • ATK Guru
  • ****
  • Posts: 123
  • Country: cn
  • Reputation: 0
    • View Profile
Re: Is transmission eigenstate normalized?
« Reply #3 on: April 27, 2019, 10:14 »
Thanks for your help. If transmission egenstate is normalzied, I have then have another question. As seen in Figure1 in the attachment, one transmission eigenstate looks delocalized and the other one looks localized around left electrode and central molecule. If delocalzied states can integrate to 1 over space, why the localzied one can intergrate to 1, either?  (two states with the same isovalue) :o

Offline Anders Blom

  • QuantumWise Staff
  • Supreme ATK Wizard
  • *****
  • Posts: 4966
  • Country: dk
  • Reputation: 78
    • View Profile
    • QuantumWise
Re: Is transmission eigenstate normalized?
« Reply #4 on: April 29, 2019, 18:19 »
The isovalue plot doesn't tell you anything about the integral of the whole function over all space...