LCALCEPS: Difference between revisions

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Description: for {{TAG|LCALCEPS}}=.TRUE. the macroscopic ion-clamped static dielectric tensor, Born effective charge tensors, and the ion-clamped piezoelectric tensor of the system are determined from the response to finite electric fields.
Description: for {{TAG|LCALCEPS}}=.TRUE. the macroscopic ion-clamped static dielectric tensor, Born effective charge tensors, and the ion-clamped piezoelectric tensor of the system are determined from the response to finite electric fields.
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For {{TAG|LCALCEPS}}=.TRUE., VASP calculates the ion-clamped static dielectric tensor
:<math>
\epsilon^\infty_{ij}=\delta_{ij}+
\frac{4\pi}{\epsilon_0}\frac{\partial P_i}{\partial \mathcal{E}_j},
\qquad
{i,j=x,y,z}
</math>
the Born effective charge tensors
:<math>
Z^*_{ij}=\frac{\Omega}{e}\frac{\partial P_i}{\partial u_j}
        =\frac{1}{e}\frac{\partial F_i}{\partial \mathcal{E}_j},
\qquad
{i,j=x,y,z}
</math>
and the ion-clamped piezoelectric tensor of the system
:<math>
e^{(0)}_{ij}=-\frac{\partial \sigma_i}{\partial \mathcal{E}_j},
\qquad
{i=xx, yy, zz, xy, yz, zx}\quad{j=x,y,z}
</math>
from the [[Berry_phases_and_finite_electric_fields#Self-consistent_response_to_finite_electric_fields|self-consistent response to finite electric fields]] <span style="font-size:16pt">''&epsilon;''</span>.
In this case, the "response" of the system is the change in the polarization '''P''', the Hellmann-Feynman forces '''F''', and the stress tensor &sigma;.
== Related Tags and Sections ==
== Related Tags and Sections ==
{{TAG|LEPSILON}},
{{TAG|LEPSILON}},

Revision as of 12:59, 19 March 2011

LCALCEPS = .TRUE. | .FALSE.
Default: LCALCEPS = .FALSE. 

Description: for LCALCEPS=.TRUE. the macroscopic ion-clamped static dielectric tensor, Born effective charge tensors, and the ion-clamped piezoelectric tensor of the system are determined from the response to finite electric fields.


For LCALCEPS=.TRUE., VASP calculates the ion-clamped static dielectric tensor

the Born effective charge tensors

and the ion-clamped piezoelectric tensor of the system

from the self-consistent response to finite electric fields ε. In this case, the "response" of the system is the change in the polarization P, the Hellmann-Feynman forces F, and the stress tensor σ.

Related Tags and Sections

LEPSILON, LCALCPOL, EFIELD_PEAD, LPEAD, IPEAD, LBERRY, IGPAR, NPPSTR, DIPOL, Berry phases and finite electric fields


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