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    Resilient Infinite Randomness Criticality for a Disordered Chain of Interacting Majorana Fermions

    Natalia Chepiga1 and Nicolas Laflorencie2

    • 1Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
    • 2Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, Toulouse, France

    Phys. Rev. Lett. 132, 056502 – Published 31 January, 2024

    DOI: https://doi.org/10.1103/PhysRevLett.132.056502

    Abstract

    The quantum critical properties of interacting fermions in the presence of disorder are still not fully understood. While it is well known that for Dirac fermions, interactions are irrelevant to the noninteracting infinite randomness fixed point (IRFP), the problem remains largely open in the case of Majorana fermions which further display a much richer disorder-free phase diagram. Here, pushing the limits of density matrix renormalization group simulations, we carefully examine the ground state of a Majorana chain with both disorder and interactions. Building on appropriate boundary conditions and key observables such as entanglement, energy gap, and correlations, we strikingly find that the noninteracting Majorana IRFP is very stable against finite interactions, in contrast with previous claims.

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