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Topological qubits in graphenelike systems

Topological qubits in graphenelike systems

The fermion-doubling problem can be an obstacle to getting half a qubit in two-dimensional fermionic tight-binding models in the form of Majorana zero modes bound to the core of superconducting vortices. We argue that the number of such Majorana zero modes is determined by a ${\mathbb{Z}}_{2}\ifmmode\times\else\texttimes\fi{}{\mathbb{Z}}_{2}$ topological charge for a …