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

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Interacting Majorana fermions in a disordered chain remain stable against interactions, contrary to previous claims. This study confirms the robustness of the noninteracting infinite randomness fixed point (IRFP) in Majorana systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Criticality
  • Disordered Systems

Background:

  • Quantum critical properties of interacting fermions with disorder are not fully understood.
  • For Dirac fermions, interactions are irrelevant to the noninteracting infinite randomness fixed point (IRFP).
  • The behavior of Majorana fermions in disordered systems with interactions is less understood, despite a richer disorder-free phase diagram.

Purpose of the Study:

  • To investigate the quantum critical properties of Majorana fermions in a disordered system with interactions.
  • To determine the stability of the noninteracting infinite randomness fixed point (IRFP) against finite interactions in Majorana chains.

Main Methods:

  • Utilized density matrix renormalization group (DMRG) simulations.
  • Examined the ground state properties of a Majorana chain with both disorder and interactions.
  • Analyzed key observables including entanglement, energy gap, and correlations, using appropriate boundary conditions.

Main Results:

  • The noninteracting Majorana infinite randomness fixed point (IRFP) demonstrates remarkable stability against finite interactions.
  • Observed stability contradicts previous theoretical claims suggesting interactions significantly alter the IRFP in Majorana systems.

Conclusions:

  • Finite interactions do not destabilize the noninteracting Majorana IRFP in the presence of disorder.
  • The findings highlight the robustness of the Majorana IRFP, offering new insights into quantum criticality in disordered fermionic systems.