Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$

Abstract

We study the topologically protected Majorana zero modes induced by lattice dislocations in chiral topological superconductors. Dislocations provide a new way to realize Majorana zero modes at zero magnetic field. In particular, we study several different types of dislocations in the candidate material $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4.$ We also discuss the properties of linked dislocation lines and linked dislocation and flux lines. Various experimental consequences are predicted which provide a new approach to determine whether nature of the superconducting phase of $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4.$

7 pages, 4 figures, v2 modified discussion and organization

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Helical Metal Inside a Topological Band Insulator
• On the $Z_2$ classification of Quantum Spin Hall Models
• Observation of half-height magnetization steps in Sr2RuO4
• Chiral P-Wave Order in Sr_2RuO_4
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Coulomb-Enhanced Spin-Orbit Splitting: The Missing Piece in the Sr2RhO4 Puzzle
• Majorana fermions on the Abrikosov flux lattice in a $p_x+i{p}_y$ superconductor and thermal conductivity in superclean regime

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