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. | ||
---- | ---- | ||
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">''ε''</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 σ. | |||
== 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