Ceramic that is electrical conductor?

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fysik
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hello!

is there a high thermal insulator material, like ceramics, that is also a good electricity conductor?

or these two things, thermal insulation and electrical conductivity, are mutually exclusive?

thanks!
 
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As long as the electrical conduction is due to free electrons, the ratio between the two conductivity is relatively constant (Wiedeman-Franz law).
You may have a ceramic with electric conduction due to other mechanisms (like "hopping"). But I don't see why the carriers of charge responsible for electrical conduction won't conduct heat as well.
In the end, it depends on what you mean by "good" and "bad" when applied to the two properties (thermal and electrical conduction).
A composite like aero-graphite may have a thermal conductivity lower than that of a bloc of graphite of the same size. But the electrical conductivity will be also reduced by the air in the structure.