Abstract
By using the Hubbard operator Green’s function method, the spin-resolved transport properties of a quantum dot coupled to metallic leads and side-coupled to a topological superconductor wire hosting Majorana bound states (MBSs) are studied theoretically. Compared with the second quantization representation, the method can lead us to an analytical result for the retarded Green’s function with finite U. The spin-related current and conductance are discussed. In the case of zero Coulomb interaction and on-resonance, the MBS’s 1/2 signature is recovered, and furthermore, there exists a 1/2 negative differential spin conductance. In the case of infinite Coulomb interaction, the 1/2 signature does not survive due to the Coulomb correlation reducing the current and conductance. Also due to this correlation, the MBS-induced symmetry of conductance peaks around zero energy is destroyed. In addition to this, we find that there are two MBS-induced negative differential spin conductance peaks. Theoretically, our work is supplementary and contrastive to the mainstream second quantization method, and these spin-resolved results may be observed in future experiments.
Highlights
Majorana fermions, with antiparticles being themselves, have been searched in high-energy physics for a long time.1–3 Recently, searches for Majorana fermions in condensed matter physics have attracted much attention,4–6 due to the fact that they have nonAbelian statistics7,8 and are promising in quantum computation.2 The predicted Majorana bound states (MBSs) or Majorana fermion zero modes correspond to the Majorana fermions in high-energy physics
By using the Hubbard operator Green’s function method, the spin-resolved transport properties of a quantum dot coupled to metallic leads and side-coupled to a topological superconductor wire hosting Majorana bound states (MBSs) are studied theoretically
By using the Hubbard operator Green’s function method, the spinresolved transport properties of a quantum dot coupled to metallic leads and side-coupled to a topological superconductor wire hosting Majorana zero-energy modes are studied theoretically
Summary
With antiparticles being themselves, have been searched in high-energy physics for a long time. Recently, searches for Majorana fermions in condensed matter physics have attracted much attention, due to the fact that they have nonAbelian statistics and are promising in quantum computation. The predicted Majorana bound states (MBSs) or Majorana fermion zero modes correspond to the Majorana fermions in high-energy physics. The predicted Majorana bound states (MBSs) or Majorana fermion zero modes correspond to the Majorana fermions in high-energy physics. The presence of MBSs leads to a quantized zero-bias conductance G = 2e2/h, when the dot is on resonance and symmetrically coupled to the probing leads. By using the Hubbard operator Green’s function method, the spinresolved transport properties of a quantum dot coupled to metallic leads and side-coupled to a topological superconductor wire hosting Majorana zero-energy modes are studied theoretically. When Coulomb interaction is considered, it usually has a significant influence on the transport properties of the quantum dot system This motivates us to ask a question, namely, how robust are those results, for instance, the 1/2 signature of the MBSs in the quantum dot-Majorana hybrid systems, in the presence of the Coulomb. The Coulomb interaction effect on the conductance spectrum is investigated
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