Hidden Symmetry Decoupling of Majorana Fermions

Autor:	Dumitrescu, E., Stanescu, T. D., Tewari, S.
Rok vydání:	2014
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Strongly Correlated Electrons
Zdroj:	Phys. Rev. B 91, 121413 (R) (2015)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.91.121413
Popis:	Multiple zero-energy Majorana fermions (MFs) with spatially overlapping wave functions can survive only if their splitting is prevented by an underlying symmetry. Here we show that, in quasi-one-dimensional (Q1D) time reversal invariant topological superconductors (class DIII), a realistic model for superconducting lithium molybdenum purple bronze and certain families of organic superconductors, multiple Majorana-Kramers pairs with strongly overlapping wave functions persist at zero energy even in the absence of an easily identifiable symmetry. We find that similar results hold in the case of Q1D semiconductor-superconductor heterostructures (class D) with transverse hopping t_{perp} much smaller than longitudinal hopping t_x. Our results, explained in terms of special properties of the Hamiltonian and wave functions, underscore the importance of hidden accidental symmetries in topological superconductors. Comment: 4+ pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.3093 Zobrazit plný text záznamu View this record from Arxiv