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Bose-Fermi mixtures in a 1D disordered potential
Séminaire de Physique Statistique présenté par Pascal Simon (Laboratoire de Physique des Solides) qui aura lieu à l'Orme des Merisiers Salle Claude Itzykson, Bât. 774.
Lundi 19 septembre à 14h
The interactions between the electrons of a one-dimensional conductor and its nuclear spins
can lead to an ordered phase in which both degrees of freedom are tightly bound to each other. Experimentally available examples of such a system are GaAs-based quantum wires. In these systems the hyperfine interaction between the nuclear spin and the conduction electron spin is weak, yet it triggers a strong feedback reaction that results in an ordered phase consisting of a nuclear helimagnet that is inseparably bound to an electronic density wave combining charge and spin degrees of freedom[1]. When this quantum wire is brought in proximity of s-wave superconductor, it supports Majorana edge states. We show that this Majorana edges states are extremely susceptible to electron-electron interactions. Strong interactions generically destroy the induced superconducting gap that stabilizes the Majorana edge states[2]. For weak interactions, the renormalization of the gap is nonuniversal and allows for a regime, in which the Majorana edge states persist. We present strategies how this regime can be reached.
[1] B. Braunecker, P. Simon, D. Loss, Phys. Rev. Lett 102, 116403 (2009; ibid Phys. Rev. B 80,
165119 (2009).
[2]S. Gangadharaiah, B. Braunecker, P. Simon, D. Loss, Phys. Rev. Lett. 107, 036801 (2011)