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Predicting the macroscopic chiral behaviour of cholesteric liquid crystalsfrom the microscopic chirality of the particles is highly non-trivial, evenwhen the chiral interactions are purely entropic in nature. Here we introduce anovel chiral hard-particle model, namely particles with a twisted polyhedralshape and obtain, for the first time, a stable fully-entropy-driven cholestericphase by computer simulations. By slightly modifying the triangular base of theparticle, we are able to switch from a left-handed prolate to a right-handedoblate cholesteric using the same right-handed twisted particle model.Furthermore, we find qualitative agreement with an Onsager-like theory,suggesting that the latter can be used as a quick tool to scan the hugeparameter space associated to the microscopic chirality. Our results unveil howthe competition between particle biaxiality and chirality is reflected into thenematic self-organization and new theoretical challenges on the self-assemblyof chiral particles can be undertaken.

Entropy-driven formation of prolate and oblate cholesteric phases by computer simulations