Dear Theo,

How do you model the paramagnetic state? Please note that "paramagnetic" and 
"nonmagnetic" state is not the same thing.


For nonmagnetic calculations there is a factor of 2 due to spin degeneracy when 
computing sums over electronic states (i.e. in charge density, occupation 
matrix, and other quantities).  If you take a nonmagnetic material (e.g. 
LiCoO2) and model it as a spin-polarized system (nspin=2), the value of U will 
be the same as when modeling it as nonmagetic (because the magnetization will 
be zero). So I do not understand why do you have a factor of 2 difference for U 
in your simulations.


Greetings,

Iurii


--
Dr. Iurii TIMROV
Senior Research Scientist
Theory and Simulation of Materials (THEOS)
Swiss Federal Institute of Technology Lausanne (EPFL)
CH-1015 Lausanne, Switzerland
+41 21 69 34 881
http://people.epfl.ch/265334
________________________________
From: users <users-boun...@lists.quantum-espresso.org> on behalf of Theo 
Weinberger <ti...@cam.ac.uk>
Sent: Tuesday, September 12, 2023 11:21:03 AM
To: users@lists.quantum-espresso.org
Subject: [QE-users] Spin counting in hp.x with paramagnetic metals

Dear Quantum Espresso Users,

I have been using the hp.x code to calculate the Hubbard-U corrections for 
correlated metallic systems in both their spin-polarised and paramagnetic 
states.

In several materials I have noticed that the Hubbard-U value determined for a 
material in its paramagnetic ground state is approximately twice that compared 
to when a spin-polarised ground state is assumed (with all other parameters 
kept the same).

I was wondering whether anyone had any insight into how the accounting for 
spins in occupied Hubbard states works for the hp.x code and whether the 
paramagnetic implementation of hp.x perhaps counts all spins states twice 
resulting in this larger value.

Thank you in advance,

Theo Weinberger
PhD Student
University of Cambridge
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