Nonlinear static polarization and impurity spectrum

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Discussion Overview

The discussion revolves around the calculation of localized states in crystals, specifically focusing on the implications of nonlinear static polarization and the impurity spectrum. Participants explore the necessity of incorporating nonlinear terms in polarization theory when evaluating the energy spectrum of impurities and excitons, particularly in the context of strong electric fields generated by charged impurities.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the traditional approach of using a static dielectric constant ε may be insufficient due to the large electric fields generated by impurity atoms, advocating for a nonlinear polarization theory.
  • Another participant mentions that their colleague included nonlinear terms in the polarization when studying solvated electrons, indicating that this approach may be relevant to the discussion.
  • A request for references to the colleague's work on solvated electrons is made, highlighting the interest in further exploring this area.
  • A potential reference to a paper on solvated electrons is provided, along with a link to a document discussing complex continuum models, suggesting that these resources may be useful for understanding the topic better.

Areas of Agreement / Disagreement

Participants appear to agree on the relevance of nonlinear polarization in the context of localized states and impurities, but there is no consensus on specific models or approaches, and the discussion remains open to further exploration and references.

Contextual Notes

There are limitations regarding access to specific references and the completeness of the models discussed, as some participants express uncertainty about the availability of certain papers.

reterty
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As is known, when calculating localized states in a crystal
it is roughly considered that the point charge is “immersed” on medium with
static dielectric constant ε.
However, a simple estimate, for example, shows that an impurity atom
with charge modulo equal to the electron charge creates at distances of the order of
lattice constant field with a strength of about 10 ^ 7 V / m.
This is a very large field and, in my opinion, one needs to use a nonlinear
polarization theory for calculating the energy spectrum of impurities, excitons, etc.
That is, to take into account the quadratic in the field term in the decomposition of the polarization vector
by degrees of electric field strength.
 
Physics news on Phys.org
Yes, a colleague of mine did calculations on solvated electrons and he also included nonlinear terms in the polarisation. Another effect is spatial dispersion.
 
DrDu said:
Yes, a colleague of mine did calculations on solvated electrons and he also included nonlinear terms in the polarisation. Another effect is spatial dispersion.
Dear DrDu, сould you provide me the references to his work on solvated electrons. Thank you in advance for your help.
 

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