Electric Circuit Realizations of Fracton Physics

Understand

We design a set of classical macroscopic electric circuits in which charge exhibits the mobility restrictions of fracton quasiparticles.

• The crucial ingredient in these circuits is a transformer, which induces currents between pairs of adjacent wires.
• For an appropriately designed geometry, this induction serves to enforce conservation of dipole moment.
• We show that a network of capacitors connected via ideal transformers will forever remember the dipole moment of its initial charge configuration.