Good afternoon again,
I have a similar concern about lattice vectors:
Based on the SIESTA tutorial link: 
http://dipc.ehu.es/frederiksen/tstutorial/index.php/Graphene
<http://dipc.ehu.es/frederiksen/tstutorial/index.php/Graphene>
Graphene - 
TStutorial<http://dipc.ehu.es/frederiksen/tstutorial/index.php/Graphene>
In this exercise we use SIESTA/TranSIESTA to study an ideal sheet of graphene. 
We calculate the transmission curves as a function of (i) the k-point sampling 
and (ii) the size of the supercell. The procedures involves a number of steps:
dipc.ehu.es
the transmission increases (and thus the current) with the increase of ONE of 
the unit cell lattice vectors.
My question is: Is this increase a linear relationship or not? In the tutorial 
increasing twice along the y axis lead to doubling of the transmission. Is that 
really the case GENERALLY?
In other words if I double the unit cell along one direction, does that mean 
the transmission (and thus the current) will also double or not?
Also what if we double the size on 2 different directions of the unit cell, 
does that lead to 4 times the transmission being larger or not?
Thank you and looking forward to your reply.

 El-abed Haidar | Doctor of Philosophy (Science)
 Condensed Matter Theory (CMT) Group
 | School of Physics
 THE UNIVERSITY OF SYDNEY  | NSW | 2006


________________________________
From: [email protected] <[email protected]> on behalf of El-abed 
Haidar <[email protected]>
Sent: Saturday, 14 December 2019 9:08 AM
To: Nick Papior <[email protected]>; siesta-l <[email protected]>
Subject: Re: [SIESTA-L] TRANSIESTA QUESTIONs Concerning unit cell with skew 
lattice vectors

Thank you again and really appreciate the content behind your answers.
Even question one that i could not explain clearly you were able to answer that.
Speaking of question one, you said that the electrodes would take care of the 
periodicity which is due to the electrode BLOCK TS.ELEC. Physically however i 
do not get how the electrodes can cover the other directions?
I understand the reason which is that the electrodes and scattering regions 
must have the same OTHER DIRECTION LATTICE VECTORS. My concern is HOW?
I tried to read the paper:
 Improvements on non-equilibrium and transport Green function techniques:The 
next-generation transiesta
But i could not find that.
Thank you !
EL-abed

 El-abed Haidar | Doctor of Philosophy (Science)
 Condensed Matter Theory (CMT) Group
 | School of Physics
 THE UNIVERSITY OF SYDNEY  | NSW | 2006

________________________________
From: [email protected] <[email protected]> on behalf of Nick 
Papior <[email protected]>
Sent: Friday, 13 December 2019 8:01 PM
To: siesta-l <[email protected]>
Subject: Re: [SIESTA-L] TRANSIESTA QUESTIONs Concerning unit cell with skew 
lattice vectors



Den tor. 12. dec. 2019 kl. 22.06 skrev El-abed Haidar 
<[email protected]<mailto:[email protected]>>:
Thank you again for the reply
For question 2 isn’t it defined as Ky and Kz so I’m not sure I get your point 
that it is fine
I don't understand what you mean. :)
A k-point is a k-point in Siesta AND in TranSiesta. However, there is no need 
for k-points along semi-infinite directions since the electrodes take care of 
the periodicity.
For question 3 if our electrodes like our system are skewed ( direction of 
transport interested are a2 and a3) are we allowed to say a2 a3 ? If not what 
does a3 only mean for a skewed system? In other words how would transport take 
place in a skew system while specifying only one direction especially one would 
be mostly interested to cover
You can't define transport to be aligned with 2 lattice vectors. You can ONLY 
define transport along a single lattice vector. But this lattice vector may 
have components along each of the 3 Cartesian directions.
Thank you for your time really appreciate it
El abed

Sent from my iPhone

On 12 Dec 2019, at 8:16 am, Nick Papior 
<[email protected]<mailto:[email protected]>> wrote:



Den tir. 10. dec. 2019 kl. 22.04 skrev El-abed Haidar 
<[email protected]<mailto:[email protected]>>:
Good evening
I was just wondering if we have a unit cell with skew vectors ( c vector for 
example having y and z components) I have the following TRANSIESTA questions:
This is only possible in 4.1 and beyond.
1- Based on siesta mail usually I usually define the k points as 1 1 100
Should I change it for skewed systems? I tried to look for the answer in the 
manual but it does not seem to give in depth on that.
No, a lattice vector is still a lattice vector. So this should be fine.
2- May I know the difference between k points in a siesta run vs a transiesta 
run? I really want to know the in-depth understanding behind both.
They both mean the same thing. However, in a transiesta run k-points along the 
semi-infinite direction has no meaning (the self-energies are semi-infinite by 
definition).
3- Which block in the siesta input file identifies the direction of the bias 
voltage ? Is there much more in depth to that?
In 4.0 it is always the third lattice vector. In 4.1 it is determined from the 
semi-infinite directions of the electrodes. If they are parallel there exists a 
unique transport direction.
Thank you and looking forward to all replies
El abed

Sent from my iPhone
--
SIESTA is supported by the Spanish Research Agency (AEI) and by the European 
H2020 MaX Centre of Excellence (http://www.max-centre.eu/)


--
Kind regards Nick

--
SIESTA is supported by the Spanish Research Agency (AEI) and by the European 
H2020 MaX Centre of Excellence (http://www.max-centre.eu/)

--
SIESTA is supported by the Spanish Research Agency (AEI) and by the European 
H2020 MaX Centre of Excellence (http://www.max-centre.eu/)


--
Kind regards Nick
-- 
SIESTA is supported by the Spanish Research Agency (AEI) and by the European 
H2020 MaX Centre of Excellence (http://www.max-centre.eu/)

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