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We show that chiral symmetry can be broken spontaneously in one-componentsystems with isotropic interactions, i.e. many-particle systems having maximala priori symmetry. This is achieved by designing isotropic potentials that leadto self-assembly of chiral surfaces. We demonstrate the principle on a simplechiral lattice and on a more complex lattice with chiral super-cells. Inaddition we show that the complex lattice has interesting melting behavior withmultiple morphologically distinct phases that we argue can be qualitativelypredicted from the design of the interaction.

Chiral surfaces self-assembling in one-component systems with isotropic interactions