Thank you, Paolo, for clarifying it. So, is it right to say that the wave functions are not scalar anymore when we use non-collinear calculations, as they have two components for up and down spin?
Best wishes, Alireza Shabani Postdoc researcher, Denmark Technical University Copenhagen, Denmark -----Original Message----- From: Paolo Giannozzi <paolo.gianno...@uniud.it> Sent: Tuesday, December 12, 2023 11:38 AM To: Alireza Shabani <al...@dtu.dk>; Quantum ESPRESSO users Forum <users@lists.quantum-espresso.org> Subject: Re: [QE-users] Spatial dependency of the wave functions for the spin-orbit coupling calculation Plane-wave coefficients are complex: the real part is followed by imaginary part. The first 2*npw coefficients are for the "up" components of the spinor; the following 2*npw are for the "down" component Paolo -- Paolo Giannozzi, DMIF, Univ. Udine, Italy *** AVAILABLE POST-DOC POSITION: *** https://physicslab.uniud.it/persone/paolo-giannozzi/advert On 12/12/23 11:25, Alireza Shabani via users wrote: > Dear Giovanni, > > Thank you for your explanation. Yes, I think for the number of KS > states, you are right, as the spin-orbit coupled states are twice the > non-spin-orbit coupled states. But I am going to focus on just one of > these states and calculate the wave function using the information in > the .hdf5 file and equation psi = sigma (C_real + i C_imag) * > exp(iG.r), which I know I must change a little bit because of the > two-component spinor. > > My question is, is it right to say for every single 'Miller Indices' > in the .hdf5,we have four complex 'evc'? If so, how should we write > the vector to form the desired wave function? Is it a vector with two > complex components like this: (c_1 + j c_2 c_3 +j c_4) * > exp(iG.r) ,here c_i are the 'evc'. > > Unfortunately, I didn’t find the mathematical description for > constructing the spinor plane wave in QE, so I would appreciate it if > anybody could introduce a reference for it. > > Thank you for your suggestions. > > Alireza Shabani > > Postdoc researcher, > Denmark Technical University > Copenhagen, Denmark > > *From:*Giovanni Cantele <giovanni.cant...@spin.cnr.it> > *Sent:* Monday, December 11, 2023 2:14 PM > *To:* Alireza Shabani <al...@dtu.dk>; Quantum ESPRESSO users Forum > <users@lists.quantum-espresso.org> > *Subject:* Re: [QE-users] Spatial dependency of the wave functions for > the spin-orbit coupling calculation > > I'm not expert about HDF5 files, however because you are seeking for > wave function coefficients, the answer might be that, as explained for > example here > > https://www.quantum-espresso.org/Doc/pw_user_guide/node10.html#SECTION > 00043030000000000000 > <https://www.quantum-espresso.org/Doc/pw_user_guide/node10.html#SECTIO > N00043030000000000000> > > when spin-orbit is turned on the wave functions are two-component spinors. > This also reflect the fact that, with nelec electrons, the > ground-state density suffices nelec/2 Kohn-Sham states (using spin > degeneracy) in the absence of spin-orbit > > coupling, whereas including the latter you need to compute (for > semiconductors) at least nelec states. > > Giovanni > > > -- > > Giovanni Cantele, PhD > CNR-SPIN > c/o Dipartimento di Fisica > Universita' di Napoli "Federico II" > Complesso Universitario M. S. Angelo - Ed. 6 Via Cintia, I-80126, > Napoli, Italy > e-mail: giovanni.cant...@spin.cnr.it > <mailto:giovanni.cant...@spin.cnr.it> > Phone: +39 081 676910 > Skype contact: giocan74 > > ResearcherID: http://www.researcherid.com/rid/A-1951-2009 > <http://www.researcherid.com/rid/A-1951-2009> > Web page: https://sites.google.com/view/giovanni-cantele/home > <https://sites.google.com/view/giovanni-cantele/home> > > Il giorno lun 11 dic 2023 alle ore 13:49 Alireza Shabani via users > <users@lists.quantum-espresso.org > <mailto:users@lists.quantum-espresso.org>> ha scritto: > > Dear QE users, > > I am going to calculate the spatial dependency of the wave function > from the output HDF5 files from QE (for one specific k-point, such > as Gamma). I know that the number 'evc' should be twice the 'Miller > Indices' because it includes real and imaginary coefficients in the > wave function: psi = sigma (C_real + i C_imag) * exp(iG.r). > > Everything looks fine, and I can calculate the wave function in a > normal DFT calculation (I mean without spin-orbit coupling!!). But, > when I use spin-orbit coupling, the number of 'evc' in the final > .hdf5 file becomes four times the 'Miller Indices.' For instance, if > I have 100 'Miller Indices, ' I will have 400 'evc' which is a bit > confusing. Does anybody know how we can interpret it? > > Thank you for your suggestions. > > Kind regards, > > Alireza Shabani > > Postdoc researcher, > Denmark Technical University > Copenhagen, Denmark > > _______________________________________________ > The Quantum ESPRESSO community stands by the Ukrainian > people and expresses its concerns about the devastating > effects that the Russian military offensive has on their > country and on the free and peaceful scientific, cultural, > and economic cooperation amongst peoples > _______________________________________________ > Quantum ESPRESSO is supported by MaX (www.max-centre.eu > <http://www.max-centre.eu>) > users mailing list users@lists.quantum-espresso.org > <mailto:users@lists.quantum-espresso.org> > https://lists.quantum-espresso.org/mailman/listinfo/users > <https://lists.quantum-espresso.org/mailman/listinfo/users> > > > _______________________________________________ > The Quantum ESPRESSO community stands by the Ukrainian people and > expresses its concerns about the devastating effects that the Russian > military offensive has on their country and on the free and peaceful > scientific, cultural, and economic cooperation amongst peoples > _______________________________________________ > Quantum ESPRESSO is supported by MaX (www.max-centre.eu) users mailing > list users@lists.quantum-espresso.org > https://lists.quantum-espresso.org/mailman/listinfo/users _______________________________________________ The Quantum ESPRESSO community stands by the Ukrainian people and expresses its concerns about the devastating effects that the Russian military offensive has on their country and on the free and peaceful scientific, cultural, and economic cooperation amongst peoples _______________________________________________ Quantum ESPRESSO is supported by MaX (www.max-centre.eu) users mailing list users@lists.quantum-espresso.org https://lists.quantum-espresso.org/mailman/listinfo/users
