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arXiv · 2201.00556

Topological order in random interacting Ising-Majorana chains stabilized by many-body localization

Nicolas Laflorencie·Gabriel Lemarié·Nicolas Macé
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Abstract

We numerically explore $\mathbb Z_2$-symmetric random interacting Ising-Majorana chains at high energy. A very rich phase diagram emerges with two topologically distinct many-body localization (MBL) regimes separated by a much broader thermal phase than previously found. This is a striking consequence of the avalanche theory. We further find MBL spin-glass order always associated to a many-body spectral pairing, presumably signaling a strong zero mode operator which opens fascinating perspectives for MBL-protected topological qubits.

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Nicolas Laflorencie, Gabriel Lemarié, Nicolas Macé. 2022-01-03. Topological order in random interacting Ising-Majorana chains stabilized by many-body localization. https://doi.org/10.1103/physrevresearch.4.l032016

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