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Thermoelectric effect in the Kondo dot side-coupled to a Majorana mode

  • Heunghwan Khim
  • Rosa López
  • Jong Soo Lim
  • Minchul Lee
Regular Article

Abstract

We investigate the linear thermoelectric response of an interacting quantum dot side-coupled by one of two Majorana modes hosted by a topological superconducting wire. We employ the numerical renormalization group technique to obtain the thermoelectrical conductance L in the Kondo regime while the background temperature T, the Majorana-dot coupling Γ m , and the overlap ε m between the two Majorana modes are tuned. We distinguish two transport regimes in which L displays different features: the weak- (Γ m <T K ) and strong-coupling (Γ m >T K ) regimes, where T K is the Kondo temperature. For an infinitely long nanowire where the Majorana modes do not overlap (ε m = 0), the thermoelectrical conductance in the weak-coupling regime exhibits a peak at T ~ Γ m <T K . This peak is ascribed to the anti-Fano resonance between the asymmetric Kondo resonance and the zero-energy Majorana bound state. In the strong-coupling regime, on the other hand, the Kondo-induced peak in L is affected by the induced Zeeman splitting in the dot. For finite but small overlap (0 <ε m <Γ m ), the interference between the two Majorana modes restores the Kondo effect in a smaller energy scale Γ′ m and gives rise to an additional peak in Γ ~ Γ′ m, whose sign is opposite to that at T ~ Γ m . In the strong-coupling regime this additional peak can cause a non-monotonic behavior of L with respect to the dot gate. Finally, in order to identify the fingerprint of Majorana physics, we compare the Majorana case with its counterpart in which the Majorana bound states are replaced by a (spin-polarized) ordinary bound state and find that the thermoelectric features for finite ε m are the genuine effect of the Majorana physics.

Keywords

Solid State and Materials 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Heunghwan Khim
    • 1
  • Rosa López
    • 2
  • Jong Soo Lim
    • 3
  • Minchul Lee
    • 4
  1. 1.Department of PhysicsKorea UniversitySeoulKorea
  2. 2.Institut de Física Interdisciplinària i Sistemes Complexos IFISC (UIB-CSIC)Palma de MallorcaSpain
  3. 3.School of PhysicsKorea Institute for Advanced StudySeoulKorea
  4. 4.Department of Applied Physics and Institute of Natural Sciences, College of Applied ScienceKyung Hee UniversityYonginKorea

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