From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
STICLET, Doru
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
SEABRA, Luis
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
Department of Physics [Haifa]
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Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
Department of Physics [Haifa]
STICLET, Doru
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
SEABRA, Luis
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
Department of Physics [Haifa]
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
Department of Physics [Haifa]
CAYSSOL, Jérôme
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
< Reduce
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Max-Planck-Institut für Physik komplexer Systeme [MPI-PKS]
Language
en
Article de revue
This item was published in
Physical Review B: Condensed Matter and Materials Physics (1998-2015). 2014-03-24, vol. 89, n° 11, p. 115430 (1-18)
American Physical Society
English Abstract
We consider one-dimensional topological insulators hosting fractionally charged midgap states in the presence and absence of induced superconductivity pairing. Under the protection of a discrete symmetry, relating positive ...Read more >
We consider one-dimensional topological insulators hosting fractionally charged midgap states in the presence and absence of induced superconductivity pairing. Under the protection of a discrete symmetry, relating positive and negative energy states, the solitonic midgap states remain pinned at zero energy when superconducting correlations are induced by proximity effect. When the superconducting pairing dominates the initial insulating gap, Majorana fermion phases develop for a class of insulators. As a concrete example, we study the Creutz model with induced s-wave superconductivity and repulsive Hubbard-type interactions. For a finite wire, without interactions, the solitonic modes originating from the nonsuperconducting model survive at zero energy, revealing a fourfold-degenerate ground state. However, interactions break the aforementioned discrete symmetry and completely remove this degeneracy, thereby producing a unique ground state which is characterized by a topological bulk invariant with respect to the product of fermion parity and bond inversion. In contrast, the Majorana edge modes are globally robust to interactions. Moreover, the parameter range for which a topological Majorana phase is stabilized expands when increasing the repulsive Hubbard interaction. The topological phase diagram of the interacting model is obtained using a combination of mean-field theory and density matrix renormalization group techniques.Read less <
English Keywords
Lattice fermion models
Phases: geometric dynamic or topological
Other inorganic compounds
European Project
TOPOLOGICAL EFFECTS IN MATTER WITH STRONG SPIN-ORBIT COUPLING
ANR Project
Etats de Majorana et d'Andreev dans des circuits hybrides combinant des matériaux magnétiques et supraconducteurs - ANR-12-BS04-0016
Transport électronique dans les isolants topologiques - ANR-10-BLAN-0419
Transport électronique dans les isolants topologiques - ANR-10-BLAN-0419
Origin
Hal imported