A dilute Coulomb lattice gas in grandcanonical ensemble is a model applicable to many condensed matter systems. Flat band systems, notably spin ice, can provide a system with charged excitations generated from vacuum. A fascinating property of the Coulomb gas is a large increase of the conductivity in external field due to non-equilibrium dynamics driving charges into the system. Original theory for the problem is due to Onsager and dates to 1934. We show that it can be extended to a lattice. Presented simulations of the effect give us the access to microscopic processes behind the effect and allow us to study corrections due to Debye screening, field-dependent mobility, etc. |
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