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20 papers
Emergence of multiple zero modes bound to vortices in extended topological Josephson junctions
Adrian Reich, Kiryl Piasotski, Eytan Grosfeld +1
We study planar Josephson junctions formed on the surface of a three-dimensional topological insulator (Fu-Kane proposal). We examine the experimentally relevant parameter regimes…
Topological Josephson vortices at finite voltage bias
Kiryl Piasotski, Adrian Reich, Alexander Shnirman
We study the effects of finite voltage bias on Caroli-de Gennes-Matricon (CdGM) states in topological Josephson junctions with a vortex lattice. The voltage drives vortices into st…
Current Flow in Topological Insulator Josephson Junctions due to Imperfections
Kiryl Piasotski, Omri Lesser, Adrian Reich +5
Recent experiments on planar superconductor-topological insulator-superconductor (S-TI-S) junctions, e.g., in Corbino geometry, have reported low-temperature nonzero Josephson curr…
Berezinskii-Kosterlitz-Thouless transitions in a topological superconductor-ferromagnet-superconductor junction
Adrian Reich, Dmitriy S. Shapiro, Alexander Shnirman
We investigate quantum phase transitions in a topological Josephson junction with an embedded ferromagnetic layer, revealing a rich landscape of critical phenomena. The low-energy…
Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
Gabriel F. Rodríguez Ruiz, Adrian Reich, Alexander Shnirman +2
We study the joint dynamics of the phase bias and the propagating Majorana fermions of the edge modes in Josephson junctions containing 2D time-reversal invariant topological s…
Green's functions of quasi-one-dimensional layered systems and their application to Josephson junctions
Kiryl Piasotski, Mikhail Pletyukhov, Alexander Shnirman
We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltoni…