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arXiv · 1506.07984

One-Dimensional Quasicrystals from Incommensurate Charge Order

Felix Flicker·Jasper van Wezel
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Abstract

Artificial quasicrystals are nowadays routinely manufactured, yet only two naturally occurring examples are known. We present a class of systems with the potential to be realized both artificially and in nature, in which the lowest energy state is a one-dimensional quasicrystal. These systems are based on incommensurately charge-ordered materials, in which the quasicrystalline phase competes with the formation of a regular array of discommensurations as a way of interpolating between incommensurate charge order at high temperatures and commensurate order at low temperatures. The nonlocal correlations characteristic of the quasicrystalline state emerge from a free-energy contribution localized in reciprocal space. We present a theoretical phase diagram showing that the required material properties for the appearance of such a ground state allow for one-dimensional quasicrystals to form in real materials. The result is a potentially wide class of one-dimensional quasicrystals.

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Felix Flicker, Jasper van Wezel. 2015-12-04. One-Dimensional Quasicrystals from Incommensurate Charge Order. https://doi.org/10.1103/physrevlett.115.236401

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