Unconventional pairing in three-dimensional topological insulators with warped surface state
A. S. Vasenkoa, A. A. Golubovb,c, V. M. Silkind,e, E. V. Chulkovd,f
aNational Research University Higher School of Economics, 101000 Moscow, Russia
bFaculty of Science and Technology and MESA+ Institute for Nanotechnology, University of Twente,
7500 AE Enschede, The Netherlands
cMoscow Institute of Physics and Technology, Dolgoprudny, 141700 Moscow, Russia
dDepartamento de Física de Materiales, Facultad de Ciencias Químicas, UPV/EHU,
20080 San Sebastián, Basque Country, Spain
eIKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
fTomsk State University, 634050 Tomsk, Russia
Abstract
We study the effect of the Fermi surface anisotropy (hexagonal
warping) on the superconducting pair potential, induced in a
three-dimensional topological insulator (TI) by proximity with an s-wave
superconductor (S) in presence of a magnetic moment of a nearby
ferromagnetic insulator (FI). In the previous studies similar problem was
treated with a simplified Hamiltonian, describing an isotropic Dirac cone
dispersion. This approximation is only valid near the Dirac point.
However, in topological insulators the chemical potential often lies well
above this point, where the Dirac cone is strongly anisotropic and its
constant energy contour has a snowflake shape. Taking this shape into
account we show that a very exotic pair potential is induced in the
topological insulator surface. Based on the symmetry arguments we also
discuss the possibility of a supercurrent flowing
along the S/FI boundary, when a S/FI hybrid structure is formed on the TI
surface.