Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions

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 non-interacting 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 DMRG 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 non-interacting Majorana IRFP is very stable against finite interactions, in contrast with previous claims.

5+2 pages, 5+4 figures

References in corpus (13)

• Avalanches and many-body resonances in many-body localized systems
• Challenges to observation of many-body localization
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Markovian baths and quantum avalanches
• Entanglement spectrum of random-singlet quantum critical points
• Marginal Anderson localization and many body delocalization
• Correlation amplitude and entanglement entropy in random spin chains
• Emergent ergodicity at the transition between many-body localized phases
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Propagation of Many-body Localization in an Anderson Insulator
• Topological and quantum critical properties of the interacting Majorana chain model
• Critical properties of quantum three- and four-state Potts models with boundaries polarized along the transverse field
• Infinite randomness with continuously varying critical exponents in the random XYZ spin chain

Cited by in corpus (5)

• Many-Body Localization in the Age of Classical Computing
• Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase
• Universal Characterization of Quantum Many-Body States through Local Information
• Probing the many-body localized spin-glass phase through quench dynamics
• Boundary critical phenomena in the quantum Ashkin-Teller model