nLab Majorana dimer




In solid state physics and quantum many-body physics, and specifically in the context of topological phases of matter, by a Majorana dimer one means a dimer aba \to b (an edge in some graph) that is labeled by an entangled state ψ ab\psi_{a b} of two qbits (“spins”) characterized by the equation

(γ a+ip abγ b)|ψ=0, \big( \gamma_a + i p_{a b} \gamma_b \big) \left\vert \psi \right\rangle \;=\; 0 \,,


(e.g. JGPE 19, III.A)


The notion is due to:

Majorana dimer states are used (not under that name though) for discussion of the SYK model and its AdS2/CFT1 dual in:

Application of Majorana dimers to quantum error correcting codes and holographic entanglement entropy in the Majorana dimer code:

Last revised on May 30, 2022 at 08:10:57. See the history of this page for a list of all contributions to it.