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Disordered Majorana fermions are insensitive to interactions in one dimension
par - 31 janvier 2024
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Like Dirac fermions, Majorana particles appear to be insensitive to interactions in the presence of disorder.
This is the conclusion of a very careful numerical study performed using the density matrix renormalization group (DMRG) algorithm, applied to large chains of interacting Majorana fermions in the presence of random noise. This finding puts an end to an old problem : while it has been known for several decades how Dirac fermions behave in the presence of the combined effects of interactions and disorder, the question remained largely open in the case of Majorana particles. Thanks to this numerical study, the joint measurement of very fine entanglement effects and low-energy spectroscopy has allowed to draw a firm conclusion about the fate of interacting Majoranas in the presence of disorder : Dirac and Majorana fermions behave very similarly.
Post-scriptum :
For more detailed, see the original paper Resilient Infinite Randomness Criticality for a Disordered Chain of Interacting Majorana Fermions, by Natalia Chepiga and Nicolas Laflorencie in Phys. Rev. Lett. 132, 056502 (2024)
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