[Wannier] spin information of Wannier functions
Chong Wang
ch-wang at outlook.com
Fri Mar 24 03:34:57 CET 2017
Hi Shu-Ting,
Here's an output example:
WF centre and spread 1 ( 0.000003, 1.907315, 7.573554 ) 1.90180781
WF centre and spread 2 ( 0.000009, 1.957394, 7.573599 ) 2.18257344
WF centre and spread 3 ( -0.000006, 1.874192, 7.573602 ) 2.17989134
WF centre and spread 4 ( 0.000016, 2.066193, 7.573556 ) 2.11466608
WF centre and spread 5 ( -0.000007, 1.776180, 7.573554 ) 2.12950677
WF centre and spread 6 ( 0.000070, -0.021664, 9.431685 ) 2.06812234
WF centre and spread 7 ( -0.000054, -0.014828, 9.236149 ) 2.16741854
WF centre and spread 8 ( -0.000000, 0.035818, 9.238267 ) 2.16653129
WF centre and spread 9 ( 0.000005, -0.021648, 5.715520 ) 2.06808173
WF centre and spread 10 ( -0.000012, -0.014840, 5.911021 ) 2.16732828
WF centre and spread 11 ( 0.000001, 0.035807, 5.908902 ) 2.16651165
WF centre and spread 12 ( 0.000017, 1.907317, 7.573556 ) 1.90176869
WF centre and spread 13 ( -0.000005, 1.957394, 7.573599 ) 2.18256299
WF centre and spread 14 ( 0.000001, 1.874187, 7.573597 ) 2.17988107
WF centre and spread 15 ( 0.000041, 2.066188, 7.573565 ) 2.11463312
WF centre and spread 16 ( -0.000049, 1.776183, 7.573547 ) 2.12949448
WF centre and spread 17 ( -0.000012, -0.021646, 9.431696 ) 2.06811215
WF centre and spread 18 ( 0.000014, -0.014842, 9.236153 ) 2.16738956
WF centre and spread 19 ( -0.000000, 0.035808, 9.238272 ) 2.16654910
WF centre and spread 20 ( 0.000064, -0.021570, 5.715492 ) 2.06802554
WF centre and spread 21 ( -0.000057, -0.014845, 5.911027 ) 2.16728596
WF centre and spread 22 ( 0.000003, 0.035764, 5.908914 ) 2.16648206
>From WF center and spread, It seems to be first half up and second half down.
Also, since you said you did a lot of test, does the spin information extracted from .spin file agree with some simple rule like "odd for up, even for down"?
Best.
Chong
________________________________
From: Shu-Ting Pi <pipidog at gmail.com>
Sent: Friday, March 24, 2017 9:25:17 AM
To: Chong Wang
Cc: wannier at quantum-espresso.org
Subject: Re: [Wannier] spin information of Wannier functions
Hello,
"And first half of the Wannier functions are spin up while second half are spin down."
I'm pretty sure it is a wrong statement ! I did a lot test and I don't think it works.
In some cases, spin up and down can be identified by time-reversal symmetry in SOC calculation.
However, even if it works, they are usually arranged as "odd for up, even for down".
Actually, in most cases, you cannot extract any information about spin without .spn file.
Best,
Shu-Ting
On Thu, Mar 23, 2017 at 6:04 PM, Chong Wang <ch-wang at outlook.com<mailto:ch-wang at outlook.com>> wrote:
Hi,
I am told that in the presence of spin-orbit coupling, the Wannier functions generated by Wannier90 package are eigenstates of s_z (spin operator in the z direction), even without a .spn input file. And first half of the Wannier functions are spin up while second half are spin down.
As far as I am concerned, Wannier90 package does not know anything about spin if .spn files are not present. Then why Wannier functions should end up to be eigenstates of s_z?
Chong Wang
Institute of Advanced Study, Tsinghua University
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