Skip to main content

Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling

Publication ,  Journal Article
Zheng, H; Florens, S; Baranger, HU
Published in: Physical Review B - Condensed Matter and Materials Physics
June 27, 2014

We consider theoretically the transport properties of a spinless resonant electronic level coupled to strongly dissipative leads, in the regime of circuit impedance near the resistance quantum. Using the Luttinger liquid analogy, one obtains an effective Hamiltonian expressed in terms of interacting Majorana fermions, in which all environmental degrees of freedom (leads and electromagnetic modes) are encapsulated in a single fermionic bath. General transport equations for this system are then derived in terms of the Majorana T-matrix. A perturbative treatment of the Majorana interaction term yields the appearance of a marginal, linear dependence of the conductance on temperature when the system is tuned to its quantum critical point, in agreement with recent experimental observations. We investigate in detail the different crossovers involved in the problem, and analyze the role of the interaction terms in the transport scaling functions. In particular, we show that single barrier scaling applies when the system is slightly tuned away from its Majorana critical point, strengthening the general picture of dynamical Coulomb blockade. © 2014 American Physical Society.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

June 27, 2014

Volume

89

Issue

23

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Zheng, H., Florens, S., & Baranger, H. U. (2014). Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling. Physical Review B - Condensed Matter and Materials Physics, 89(23). https://doi.org/10.1103/PhysRevB.89.235135
Zheng, H., S. Florens, and H. U. Baranger. “Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling.” Physical Review B - Condensed Matter and Materials Physics 89, no. 23 (June 27, 2014). https://doi.org/10.1103/PhysRevB.89.235135.
Zheng H, Florens S, Baranger HU. Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling. Physical Review B - Condensed Matter and Materials Physics. 2014 Jun 27;89(23).
Zheng, H., et al. “Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling.” Physical Review B - Condensed Matter and Materials Physics, vol. 89, no. 23, June 2014. Scopus, doi:10.1103/PhysRevB.89.235135.
Zheng H, Florens S, Baranger HU. Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling. Physical Review B - Condensed Matter and Materials Physics. 2014 Jun 27;89(23).

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

June 27, 2014

Volume

89

Issue

23

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences