Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling
Journal Article
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.
Full Text
Duke Authors
Cited Authors
- Zheng, H; Florens, S; Baranger, HU
Published Date
- June 27, 2014
Published In
Volume / Issue
- 89 / 23
Electronic International Standard Serial Number (EISSN)
- 1550-235X
International Standard Serial Number (ISSN)
- 1098-0121
Digital Object Identifier (DOI)
- 10.1103/PhysRevB.89.235135
Citation Source
- Scopus