Majorana corner states in square and Kagome quantum spin liquids

Abstract

Quantum spin liquids hosting Majorana excitations have recently experienced renewed interest for potential applications to topological quantum computation. Performing logical operations with reduced poisoning requires to localize such quasiparticles at specific point of the system, with energies that are well defined and inside the bulk energy gap. These are two defining features of second order topological insulators (SOTIs). Here, we show two spin models that support quantum spin liquid phases characterised by Majorana excitations and that behave as SOTIs, one of which is analytically solvable thanks to a theorem by Lieb. We show that, depending on the values of spin couplings, it is possible to localize either fermions or Majorana particles at their corners.

4+epsilon pages, 3 figures, 1 appendix (supplemental material - included in the main arXiv text)

References in corpus (7)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• A $\Gamma$-matrix generalization of the Kitaev model
• Magnonic Quadrupole Topological Insulator in Antiskyrmion Crystals
• Chiral Hinge Magnons in Second-Order Topological Magnon Insulators

Cited by in corpus (3)

• An Exact Chiral Amorphous Spin Liquid
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Majorana corner states on the dice lattice