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  • Letter
  • Open Access

Dephasing-enhanced Majorana zero modes in two-dimensional and three-dimensional higher-order topological superconductors

Loredana M. Vasiloiu, Apoorv Tiwari, and Jens H. Bardarson

  • Department of Physics, KTH Royal Institute of Technology, Stockholm 106 91, Sweden

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Phys. Rev. B 106, L060307 – Published 25 August, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L060307

Abstract

The one-dimensional (1D) Kitaev model in the topological phase, with open boundary conditions, hosts Majorana zero modes. These are fermion parity-odd operators that almost commute with the Hamiltonian and manifest in long coherence times for edge degrees of freedom. We obtain higher-dimensional counterparts of such Majorana operators by explicitly computing their closed form expressions in models describing 2D and 3D higher-order superconductors. Due to the existence of such Majorana zero modes, the coherence time of the infinite temperature autocorrelation function of the corner Majorana operators in these models diverges with the linear system size. In the presence of a certain class of orbital-selective dissipative dynamics, the coherence times of half of the corner Majorana operators are enhanced, while the time correlations corresponding to the remaining corner Majoranas decay much faster as compared with the unitary case. We numerically demonstrate robustness of the coherence times to the presence of disorder.

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Outline

Information

Phys. Rev. B 106, L060307– Published 25 August, 2022
  • Received 15 March 2022
  • Revised 11 August 2022
  • Accepted 15 August 2022
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