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Re: Re: Spontaneous polarization in ABINIT


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  • From: yukihiro_okuno@fujifilm.co.jp
  • To: forum@abinit.org
  • Subject: Re: Re: Spontaneous polarization in ABINIT
  • Date: Wed, 21 Feb 2007 03:13:21 +0100

Dear Yu Chol Jun.

For the calculation of spontaneous polarization, we must
calculate the spontaneous polarization of the system
by moving atom's position from the centrosymmetric position to the
fully relaxed ferroelectric position, because the observed spontanious
polarization is the difference between some centro-symmetric
state and ferro electric state.
The spontaneous polarization has ambiguity of e*c/Omega ( c is lattice
vector
whose derection is parallel to the polarization which we calculate,
Omega is volume)

read,
R.Resta Rev Mod Phys Vol66 899 (1994)

For example move all atom like

x = x0 + a * (x1-x0) (0 < a < 1)

x0 centro symmetric position
x1 ferro electric position
for all atoms with same "a",
and plot spontanious polarization for "a" and plot the
polarization and check plotted line. If the line has
discontinuity, plus integer * ec/Ometa (mod part) in
order to sets the line bocome continuity.
The difference between the centro-position spontanious polarization
and ferroelectric position is the "observed" spontanious polarization.

Yukihiro Okuno











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